One-dimensional compressible Navier-Stokes equations with temperature dependent transport coefficients and large data. (English) Zbl 1304.35561
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.
Reviewer: Oleg Dementiev (Chelyabinsk)
MSC:
35Q35 | PDEs in connection with fluid mechanics |
35D35 | Strong solutions to PDEs |
74D10 | Nonlinear constitutive equations for materials with memory |
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |