One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data (Q2878996)

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scientific article; zbMATH DE number 6340708
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One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data
scientific article; zbMATH DE number 6340708

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    5 September 2014
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    compressible Navier-Stokes equations
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    global solution with large data
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    temperature dependent transport coefficients
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    Nishida-Smoller type result
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    One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data (English)
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    This paper is concerned with the Cauchy problem of the one-dimensional compressible Navier-Stokes equations with degenerate temperature dependent transport coefficients which satisfy conditions from the consideration in kinetic theory. A result on the existence and uniqueness af a globally smooth nonvacuum solution is obtained. This is a Nishida-Smoller type global solvability result with large data.
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