10:00 AM-12:00 PM Maybird - Level C
Systems of two conservation laws in one space dimension are PDEs without viscosity that arise in modeling many physical systems, such as gas dynamics, three-phase flow in a porous medium, elastic strings, and phase transitions. The fundamental initial-value problem for these systems is the Riemann problem, in which the initial data are piecewise constant with a single jump. Riemann solutions can include shock waves, which are regarded as admissible if they correspond to traveling wave solutions when viscosity is added. This criterion may conflict with the classical Lax criterion. The speakers will discuss the use of vector field bifurcation theory to elucidate the wave structure of Riemann solutions.
Organizer: Stephen Schecter
North Carolina State University
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