About the Conference
This conference organized by the SIAM Activity Group (SIAG) on Analysis of Partial Differential Equations (SIAG/APDE) will have seven 45 minute invited lectures, minisymposia, and contributed talks.
The winner of the SIAG on Analysis of Partial Differential Equations Prize will give one of the plenary lectures.
This conference will gather mathematicians and scientists for whom partial differential equations is a main component of their work. The themes of the conference will reflect the enormous span of topics that share analysis of partial differential equations as a common denominator. From one point of view, it is very timely to address the role of partial differential equations and singularities in the proof of the Poincare conjecture. This immediately suggests addressing the mathematical modeling of singularities in condensed matter.
Another goal of the conference is to present new developments in partial differential equations as applied to classical topics, and also their role in new problems. The latter include themes such as classical, kinetic and
quantum approaches to molecular modeling, complex fluids, biological flow, cell dynamics, motility mechanisms and molecular motors.
The conference will also address progress in hyperbolic and kinetic collisional transport equations, free boundary problems, homogenization, nonlinear optics, stochastic PDE, renormalization and stability and pattern formation. It is also intended to emphasize the interface among the different topics, their numerical treatment and their potential industrial roles. One example of the latter would be the interaction between homogenization and optics occurring in the recent research efforts on negative index materials.
SIAM and the Conference Organizing Committee wish to extend their thanks and appreciation to the U.S. National Science Foundation for its support of this conference.
- Complex fluids and biological flow
- Free boundary problems in physical and biological systems
- Geometric evolution equations
- Hyperbolic equations, conservation laws, and continuum mechanics
- Kinetic and statistical transport
- Molecular modeling: classical and quantum approaches
- Multiscale problems
- Nonlinear optics
- Phase field methods
- Reaction-Diffusion systems and pattern formation in biological sciences
- Renormalization, stability, and asymptotic behavior of solutions of PDE
- Singularities, defects, and Calculus of Variations
- Stochastic PDE
- Superconductivity and liquid crystals