Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws - Université Clermont Auvergne Access content directly
Journal Articles Journal of Mathematical Fluid Mechanics Year : 2022

Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws

Abstract

We consider smooth solutions to a relaxed Euler system with Oldroyd-type constitutive laws. This system is derived from the one-dimensional compressible full Navier-Stokes equations for a Newtonian fluid by using the Cattaneo-Christov model and the Oldroyd-B model. In a neighborhood of equilibrium states, we construct an explicit symmetrizer and show that the system is symmetrizable hyperbolic with partial dissipation. Moreover, by establishing uniform estimates with respect to the relaxation times, we prove the uniform global existence of smooth solutions and the global-in-time convergence of the system towards the full Navier-Stokes equations.
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Dates and versions

hal-03660217 , version 1 (05-05-2022)

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Cite

Yue-Jun Peng, Liang Zhao. Global convergence to compressible full Navier-Stokes equations by approximation with Oldroyd-type constitutive laws. Journal of Mathematical Fluid Mechanics, 2022, 24 (2), pp.29. ⟨10.1007/s00021-022-00669-4⟩. ⟨hal-03660217⟩
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