Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2020; 57(4): 921-932

Online first article December 4, 2019      Printed July 31, 2020

https://doi.org/10.4134/BKMS.b190602

Copyright © The Korean Mathematical Society.

Local existence for an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics

Jishan Fan, Yuxi Hu, Gen Nakamura

Nanjing Forestry University; China University of Mining and Technology; Hokkaido University

Abstract

In this paper we prove the local existence of strong solutions to an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics in a bounded domain with vacuum.

Keywords: Local existence, Navier-Stokes-$P1$, vacuum

MSC numbers: Primary 35Q30, 35Q35, 35B25

Supported by: This work was financially supported by NNSFC under grant no. 11971234, 11701556

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