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A kinetic model for approximately isentropic solutions of the Euler equations - MaRDI portal

A kinetic model for approximately isentropic solutions of the Euler equations (Q267498)

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scientific article; zbMATH DE number 6566685
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A kinetic model for approximately isentropic solutions of the Euler equations
scientific article; zbMATH DE number 6566685

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    A kinetic model for approximately isentropic solutions of the Euler equations (English)
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    8 April 2016
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    In this paper, the author attempts to relax the condition that the limiting kinetic density has the equilibrium shape, by allowing small deviations that are controlled in a suitable way. The model involves a parameter that measures deviation of a kinetic density from the equilibrium distribution. It is shown that, in the vanishing relaxation time limit, the kinetic densities accumulate on a density, that corresponds an approximately isentropic solution of the Euler equations.
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    Euler equations
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    BGK Model
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    isentropic flow
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    existence of solution
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