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Mathematics  2013 

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

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Abstract:

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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