Uniform regularity of the isentropic Navier-Stokes-Maxwell system

Qingkun Xiao; Jianzhu Sun; Tong Tang; Qingkun Xiao; Jianzhu Sun; Tong Tang

doi:10.3934/math.2022373

AIMS Mathematics

2022, Volume 7, Issue 4: 6694-6701. doi: 10.3934/math.2022373

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Research article

Uniform regularity of the isentropic Navier-Stokes-Maxwell system

1.
College of Sciences, Nanjing Agricultural University, Nanjing 210095, China
2.
Department of Applied Mathematics, College of Sciences, Nanjing Forestry University, Nanjing 210037, China
3.
School of Mathematical Science, Yangzhou University, Yangzhou 225002, China

Received: 28 October 2021 Revised: 02 January 2022 Accepted: 04 January 2022 Published: 24 January 2022
MSC : 35B25, 35Q30, 35Q35

It is well known that Navier-Stokes-Maxwell system can be derived from the Vlasov-Maxwell-Boltzmann system. In this paper, the uniform regularity of strong solutions to the isentropic compressible Navier-Stokes-Maxwell system are proved. Here our result is obtained by using the bilinear commutator and product estimates.
- Navier-Stokes-Maxwell,
- isentropic,
- uniform regularity
Citation: Qingkun Xiao, Jianzhu Sun, Tong Tang. Uniform regularity of the isentropic Navier-Stokes-Maxwell system[J]. AIMS Mathematics, 2022, 7(4): 6694-6701. doi: 10.3934/math.2022373

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Abstract

It is well known that Navier-Stokes-Maxwell system can be derived from the Vlasov-Maxwell-Boltzmann system. In this paper, the uniform regularity of strong solutions to the isentropic compressible Navier-Stokes-Maxwell system are proved. Here our result is obtained by using the bilinear commutator and product estimates.

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