engleski

Transport-collapse scheme for heterogeneous scalar conservation laws

We extend Brenier’s transport collapse scheme on the Cauchy problem for heterogeneous scalar conservation laws i.e. for the conservation laws with spacetime-dependent coefficients. The method is based on averaging out the solution to the corresponding kinetic equation, and it necessarily converges toward the entropy admissible solution. We also provide numerical examples.

Heterogeneous scalar conservation law ; transport-collapse scheme ; kinetic formulation

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