Invariant regions for systems of conservation laws

Hoff, David

doi:10.1090/S0002-9947-1985-0784005-3

Invariant regions for systems of conservation laws
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Trans. Amer. Math. Soc. 289 (1985), 591-610 Request permission

Abstract:

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

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