Article Contents
Article Contents

# Weak shocks of a BGK kinetic model for isentropic gas dynamics

• We consider a one-dimensional BGK model as a regularization for the isentropic system of gas dynamics. Existence and dynamic stability of small amplitude travelling waves of the kinetic transport equation are proven. Their macroscopic moments approximate viscous shock profiles for the isentropic system. These results are also extended to the isothermal case.
Mathematics Subject Classification: Primary: 35Q72, 35L65; Secondary: 82C27, 35B40.

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