Invariant regions for systems of conservation laws

Author:

Hoff David

Abstract

We describe necessary and sufficient conditions for a region in R n {{\mathbf {R}}^n} to be invariant for (Glimm) solutions of the system of n n conservation laws u t + f ( u ) x = 0 {u_t} + f{(u)_x} = 0 . We also make some observations about the invariance of such regions for certain finite difference approximations of solutions of systems of conservation laws.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Prentice-Hall International Series in the Physical and Chemical Engineering Sciences;Aris, Rutherford,1973

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3. Solutions in the large for nonlinear hyperbolic systems of equations;Glimm, James;Comm. Pure Appl. Math.,1965

4. A finite difference scheme for a system of two conservation laws with artificial viscosity;Hoff, David;Math. Comp.,1979

5. Error bounds for finite-difference approximations for a class of nonlinear parabolic systems;Hoff, David;Math. Comp.,1985

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