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One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
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 of a globally smooth nonvacuum solution is obtained provided that the $(\gamma-1)\cdot (H^3({\bf R})$-norm …