Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law
Abstract
We consider one dimensional isentropic compressible Navier-Stokes equations with
Oldroyd-type constitutive law. By establishing uniform a priori estimates (with respect to relaxation time), we show global existence of smooth solutions with small initial data. Moreover, we get global-in-time convergence of the system towards the classical isentropic compressible Navier-Stokes equations.
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