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Existence and uniqueness theorems for Riemann problems

Existence and uniqueness theorems for Riemann problems

In [2] the author proposed the entropy condition (E) and solved the Riemann problem for general 2X2 conservation laws uf + f(u, v)x = 0, uf + g(u, v)x = 0, under the assumptions that the system is hyperbolic, and / > 0 and gv < 0. The purpose of …