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arXiv · 2406.14943

Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law

Na Wang·Sébastien Boyaval·Yuxi Hu
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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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Na Wang, Sébastien Boyaval, Yuxi Hu. 2024-06-21. Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law. https://arxiv.org/abs/2406.14943

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