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arxiv: 1305.5755 · v1 · pith:6DC2KKFGnew · submitted 2013-05-24 · 🧮 math.AP

One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

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keywords coefficientscompressibledatadependentequationslargenavier-stokesone-dimensional
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This paper is concerned with the global smooth non-vacuum solutions with large data to 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 Nishida-Smoller type result is obtained.

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