By Yue Cao, Hao Li, and Shengguo ZhuSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4658-4694, January 2022. In this paper, the Cauchy problem for the one-dimensional isentropic compressible Navier--Stokes equations...
By Raz Kupferman and Roee LederSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4625-4657, January 2022. We address three related problems in the theory of elasticity, formulated in the framework of double...
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By Joseph D. Johnson, Adam M. Redlich, and Daniel M. AbramsSIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...
By Demi L. Gandy and Martin R. NelsonSIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...
By Volker H. SchulzSIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...
By Manlio Gaudioso and Jean-Baptiste Hiriart-UrrutySIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....
By Qinmeng Zou and Frédéric MagoulèsSIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...
By Darinka DentchevaSIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...
By Nate Veldt, Austin R. Benson, and Jon KleinbergSIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...
By Paolo Guasoni and Yu-Jui HuangSIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...
By Misha E. KilmerSIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....
By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur MukherjeeSIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...
By The EditorsSIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....
By Andy WathenSIAM Review, Volume 64, Issue 3, Page 640-649, August 2022. The solution of systems of linear(ized) equations lies at the heart of many problems in scientific computing. In particular,...
By Dorin Bucur, Alessandro Giacomini, and Paola TrebeschiSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4591-4624, January 2022. We formulate a generalization of the Laplace equation under Robin boundary conditions on a large class...
By J. M. Sanz-SernaSIAM Review, Volume 64, Issue 3, Page 515-515, August 2022. This issue contains two Survey and Review papers. The first, by Qinmeng Zou and Frédéric Magoulès, is “Delayed Gradient...
By Daniel Adams, Manh Hong Duong, and Gonçalo dos ReisSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4495-4535, January 2022. The theory of Wasserstein gradient flows in the space of probability measures has made enormous progress...
By Stéphane Lafortune and Dmitry E. PelinovskySIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4572-4590, January 2022. We prove spectral instability of peakons in the $b$-family of Camassa--Holm equations that includes the integrable...
By Lan Zhang, Huijiang Zhao, and Qingsong ZhaoSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4536-4571, January 2022. We show in this paper that rarefaction waves of the one-dimensional compressible Navier--Stokes--Poisson system are time-asymptotically...
By Dominic Breit, Eduard Feireisl, Martina Hofmanová, and Ewelina ZatorskaSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4465-4494, January 2022. We consider the barotropic Navier--Stokes system driven by a physically well-motivated transport noise in both a...
By Yu Pei and Wei XiangSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4407-4451, January 2022. For a uniformly supersonic flow past a convex cornered wedge with the pressure being given for...
By Jacob Bedrossian, Nader Masmoudi, and Clément MouhotSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4379-4406, January 2022. In this paper we study the linearized Vlasov--Poisson equation for localized disturbances of an infinite, homogeneous...
By Mihaela Ifrim, Ben Pineau, Daniel Tataru, and Mitchell TaylorSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4452-4464, January 2022. We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions....
By T. Kappeler and P. TopalovSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4334-4378, January 2022. We prove an infinite-dimensional version of the Arnold--Liouville theorem for integrable nonlinear PDEs. In a case...
By Dominik Forkert, Jan Maas, and Lorenzo PortinaleSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4297-4333, January 2022. We consider finite-volume approximations of Fokker--Planck equations on bounded convex domains in $\mathbb{R}^d$ and study the...
By Eitan Tadmor and Changhui TanSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4277-4296, January 2022. We study the global well-posedness of the Euler--Monge--Ampère (EMA) system. We obtain a sharp, explicit critical...
By Wenhua He, Ruixiang Xing, and Bei HuSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4238-4276, January 2022. In this paper, we consider a mixed system of free boundary problem modeling ...
By Zongguang LiSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4163-4197, January 2022. In this paper we consider the Cauchy problem on the angular cutoff Boltzmann equation near global...
By Pierre Cardaliaguet and Panagiotis SouganidisSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4198-4237, January 2022. We introduce a notion of a weak solution of the master equation without ...
By Claudiu Mîndrilă and Sebastian SchwarzacherSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4139-4162, January 2022. Under the action of a time-periodic external force we prove the existence of at least one...
By Sebastian Schwarzacher and Matthias SroczinskiSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4104-4138, January 2022. We show weak-strong uniqueness and stability results for the motion of a two- or three-dimensional fluid...
By Dongho Chae, Qianyun Miao, and Liutang XueSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 4043-4103, January 2022. In this paper we address the temperature patch problem of the two-dimensional viscous Boussinesq system without...
By Kazuo YamazakiSIAM Journal on Mathematical Analysis, Volume 54, Issue 4, Page 3997-4042, January 2022. We study the two-dimensional Navier--Stokes equations forced by random noise with a diffusive term generalized via...
By Mikhail Korobkov, Wenqi Lyu, and Shangkun WengSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3974-3996, June 2022. In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier--Stokes equations in...
By Yihong Du and Wenjie NiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3930-3973, June 2022. This is Part 1 of a two-part series, where we study the radially symmetric high...
By Shanming Ji, Minyi Zhang, and Changjiang ZhuSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3884-3929, June 2022. This paper is concerned with the asymptotic stability of the solution to an initial-boundary value problem...
By Idriss Mazari and Domènec Ruiz-BaletSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3848-3883, June 2022. This work is concerned with two optimization problems that we tackle from a qualitative perspective. The...
By Stephanie Dodson and Björn SandstedeSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3789-3816, June 2022. Spiral waves emerge in numerous pattern forming systems and are commonly modeled with reaction-diffusion systems. Some...
By Yves Achdou, Paola Mannucci, Claudio Marchi, and Nicoletta TchouSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3757-3788, June 2022. We consider deterministic mean field games in which the agents control their acceleration and are constrained...
By Yazhou Chen, Bin Huang, and Xiaoding ShiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3817-3847, June 2022. In this paper, we study the barotropic compressible magnetohydrodynamic equations with the shear viscosity being a...
By Guodong Wang and Bijun ZuoSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3724-3756, June 2022. This paper is devoted to the global existence of weak solutions to the three-dimensional compressible Navier--Stokes...
By Shuai Yao, Haibo Chen, Vicenţiu D. Rădulescu, and Juntao SunSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3696-3723, June 2022. We study normalized solutions for the following Choquard equations with lower critical exponent and a local...
By Giovanni Di Fratta, Antonin Monteil, and Valeriy SlastikovSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3636-3653, June 2022. We consider $\mathbb{S}^2$-valued maps on a domain $\Omega\subset\mathbb{R}^N$ minimizing a perturbation of the Dirichlet energy with...
By Haimo Guo, Meirong Zhang, and Yi ZhuSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3654-3695, June 2022. Weyl points are degenerate points on the spectral bands at which energy bands intersect conically. They...
By Daniel Eceizabarrena and Victor Vilaça Da RochaSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3575-3608, June 2022. In the study of turbulence, intermittency is a measure of how much Kolmogorov's theory of 1941...
By Jongkeun Choi, Hongjie Dong, and Longjuan XuSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3609-3635, June 2022. We study stationary Stokes systems in divergence form with piecewise Dini mean oscillation (DMO) coefficients and...
By Feimin Huang and Yong WangSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3480-3534, June 2022. We study the steady Boltzmann equation in half-space, which arises in the Knudsen boundary layer problem,...
By Mathieu Laurière and Ludovic TangpiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3535-3574, June 2022. This work considers stochastic differential games with a large number of players, whose costs and dynamics...
By Tracey Balehowsky, Matti Lassas, Pekka Pankka, and Ville SirviöSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3420-3456, June 2022. We consider how transformation optics and invisibility cloaking can be used to construct models in subsets...
By Björn Gebhard and József J. KolumbánSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3457-3479, June 2022. We examine the two-dimensional Euler equations including the local energy (in)equality as a differential inclusion and...
By Pu-Zhao Kow, Yi-Hsuan Lin, and Jenn-Nan WangSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3379-3419, June 2022. We study an inverse problem for the fractional wave equation with a potential by the measurement...
By Liangpan LiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3275-3291, June 2022. We prove that, among all doubly connected domains bounded by two spheres of given radii, the...
By Hongxu ChenSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3316-3378, June 2022. The Boltzmann equation is a fundamental kinetic equation that describes the dynamics of dilute gas. In...
By Pierluigi Colli, Takeshi Fukao, and Luca ScarpaSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3292-3315, June 2022. An asymptotic analysis for a system with an equation and a dynamic boundary condition of Cahn--Hilliard...
By Xiangdi Huang and Jing LiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3192-3214, June 2022. The Cauchy problem for the barotropic compressible Navier--Stokes equations on the whole two-dimensional space with vacuum...
By Jing Li and Kuijie LiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3253-3274, June 2022. This work is a continuation of the study on the energy-supercritical nonlinear Schrödinger equation following the...
By Xiaokai Huo, Ansgar Jüngel, and Athanasios E. TzavarasSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3215-3252, June 2022. The weak-strong uniqueness for Maxwell--Stefan systems and some generalized systems is proved. The corresponding parabolic cross-diffusion...
By Ryne Beeson, Navaratnam S. Namachchivaya, and Nicolas PerkowskiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3054-3090, June 2022. This paper considers the approximation of the continuous time filtering equation for the case of a...
By Feimin Huang and Yue YaoSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3139-3160, June 2022. The gravitational collapse of an isolated self-gravitating gaseous star for $\gamma$-law pressure $p(\rho)=\rho^\gamma$ ($1<\gamma<\frac43$) in the...
By Alexander Kiselev and Changhui TanSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3161-3191, June 2022. In this paper, we analyze a nonlocal nonlinear partial differential equation formally derived by Steinerberger [Proc....
By Qiang Du, Xin Yang Lu, and Chong WangSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3122-3138, June 2022. In this paper we consider the functional $E_{p,\lambda}(\Omega):=\int_\Omega {\rm dist}^p(x,\partial \Omega ){\,{\operatorname{d}}} x+\lambda \frac{\mathcal{H}^1(\partial \Omega)}{\mathcal{H}^2(\Omega)}.$ Here...
By Cristina Cipriani, Hui Huang, and Jinniao QiuSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3091-3121, June 2022. Recently a continuous description of particle swarm optimization (PSO) based on a system of stochastic differential...
By Simone Dovetta, Elio Marconi, and Laura V. SpinoloSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 3019-3053, June 2022. We focus on entropy admissible solutions of scalar conservation laws in one space dimension and establish...
By Thomas O. Gallouët, Quentin Mérigot, and Andrea NataleSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2990-3018, June 2022. When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure...
By Yaobin Ou and Lu YangSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2948-2989, June 2022. In this paper, we study the incompressible limit of strong solutions to the isentropic compressible Navier--Stokes...
By Byung-Hoon Hwang, Tommaso Ruggeri, and Seok-Bae YunSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2906-2947, June 2022. Recently, a novel relativistic polyatomic BGK model was suggested by Pennisi and Ruggeri [J. Phys. Conf....
By Qian Yuan and Yuan YuanSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2876-2905, June 2022. This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks...
By Christopher Henderson and Weinan WangSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2845-2875, June 2022. In this paper, we address the local well-posedness of the spatially inhomogeneous noncutoff Boltzmann equation when...
By Yanqing Wang, Quansen Jiu, and Wei WeiSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2768-2791, June 2022. In this paper, it is shown that there does not exist a nontrivial Leray backward self-similar...
By Jiaohui Xu and Tomás CaraballoSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2792-2844, June 2022. This paper is devoted to investigating the well-posedness and asymptotic behavior of a class of stochastic...
By Laurent Boudin, Francesco Salvarani, and Emmanuel TrélatSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2727-2752, June 2022. We consider finite and infinite-dimensional first-order consensus systems with time-constant interaction coefficients. For symmetric coefficients, convergence...
By Senhao Duan and Yue MaSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2691-2726, June 2022. In this paper we establish the global stability on a type of totally geodesic wave maps...
By Plamen Stefanov and Yimin ZhongSIAM Journal on Mathematical Analysis, Volume 54, Issue 3, Page 2753-2767, June 2022. We study the inverse boundary problem for the nonlinear two photon absorption radiative transport equation. We...
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By Mauro Perego Ice sheet modeling contributes to the accurate projection of future sea level rise — a growing threat that will greatly impact coastal populations and infrastructure. One can ...
By Anima Anandkumar Many scientific applications heavily rely on brute-force numerical methods that are implemented on high-performance computing infrastructures. Over the years, hardware ...
In the United States, May is Asian American and Pacific Islander Heritage Month. As we recognize the importance of Asian American and Pacific Islander mathematicians throughout history and their ...
How to Be Creative: A Practical Guide for the Mathematical Sciences , written by Nicholas J. Higham and Dennis Sherwood, is a how-to guide that gives a six-step process for generating great ideas ...
April is Global Volunteer Month, an occasion to celebrate the dedicated individuals who offer their time in exchange for nothing more than making SIAM (and the world) a better place. We would like ...
This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.
The prize was established in 1995, and named in honor of Germund Dahlquist for his early contributions to the theory of numerical analysis as applied to differential equations. It is awarded for original contributions to fields associated with his work.
Established by Idalia Reid in honor of her husband W. T. Reid and first awarded in 1994, the W. T. and Idalia Reid Prize in Mathematics is awarded annually in the broadly-defined areas of differential equations and control theory.
This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.
The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.
Established in 1967, the prize honors George David Birkhoff (1884-1944), who served as the American Mathematical Society (AMS) President during 1925-1926. The prize is awarded every three years by SIAM and AMS for an outstanding contribution to applied mathematics. Nominations can be submitted via the AMS website.
Established in 2011, the prize honors Gábor Szegö, a foremost mathematical analyst. It is awarded to one individual in their early career for outstanding research contributions in the area of orthogonal polynomials and special functions, as evidenced in publication in peer-reviewed journals.
The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.
Established in 2005, the paper is awarded to the author or authors of the most outstanding paper, as determined by the selection committee, on a topic in partial differential equations.
Established in 2019, the prize is awarded every two years to an early career researcher for recent contributions in the field of partial differential equations.
This prize was established in 1968 to commemorate Theodore von Kármán and his work in aerodynamics. It is awarded every five years for a notable application of mathematics to mechanics or engineering in the five to ten years preceding the award.
The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.
Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.
Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.
Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.
The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.
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The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.
The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.
The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.
The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.
Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.
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Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.
Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.