Analysis and computation of nonlinear hyperbolic problems

点击翻译按钮获取中文摘要

Conservation laws are continuum models for many applications such as nonlinear elasticity, shock waves in general relativity and workflow in factories, but, historically they were primarily studied as models of compressible fluid flow. As continuum models, nonlinear hyperbolic conservation laws occur as scaling limits of molecular, kinetic (statistical) and higher-order models. Invariably, the resulting models are unstable and some of the physics lost in the scaling needs to be re-introduced, typically with an entropy condition, a kinetic relation and possibly additional closures.