The uniqueness and stability of the solution of the Riemann problem of a system of conservation laws of mixed type

Fan, Hai Tao

doi:10.1090/S0002-9947-1992-1104200-7

The uniqueness and stability of the solution of the Riemann problem of a system of conservation laws of mixed type
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Trans. Amer. Math. Soc. 333 (1992), 913-938 Request permission

Abstract:

We establish the uniqueness and stability of the similarity solution of the Riemann problem for a $2 \times 2$ system of conservation laws of mixed type, with initial data separated by the elliptic region, which satisfies the viscosity-capillarity travelling wave admissibility criterion.

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