arXiv Open Access 2024

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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Abstrak

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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math.AP

Penulis (3)

Na Wang

Sébastien Boyaval

Yuxi Hu

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Wang, N., Boyaval, S., Hu, Y. (2024). 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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Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓