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Construction of uniform in time asymptotics for interaction of shock waves in gas dynamics. (English) Zbl 1098.35107
One-dimensional gas dynamic system in the isotermic case, \[ \frac{\partial \rho}{\partial t}+\frac{\partial (\rho u)}{\partial x} =0, \quad \frac{\partial(\rho u)}{\partial t}+\frac{(\rho u^2 + C_0^2 \rho)}{\partial x} =0, \quad x\in\mathbb R,\;t>0 \] together with the initial data in the form of two shock waves with opposite directions of motion is considered. Uniform in time asymptotics is constructed.
35L67 Shocks and singularities for hyperbolic equations
Full Text: DOI
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