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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.
MSC:
35L67 Shocks and singularities for hyperbolic equations
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