Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum

Tong Tang; Jianzhu Sun

doi:10.3934/dcdsb.2020377

Article Contents

2021, Volume 26, Issue 12: 6017-6026. Doi: 10.3934/dcdsb.2020377 open access

This issue Previous Article Next Article System specific triangulations for the construction of CPA Lyapunov functions

Local well-posedness for the density-dependent incompressible magneto-micropolar system with vacuum

Tong Tang^1, , and
Jianzhu Sun^2,

1.
Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, China
2.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China

^* Corresponding author: Tong Tang
^* Corresponding author: Tong Tang

Received: May 31, 2020

Revised: September 30, 2020

Early access: December 2020

Published: December 2021

Tong Tang is partially supported by NSFC (No. 11801138), the special grant of Jiangsu Provincial policy guidance plan for introducing foreign talents–BX2020082 and the Fundamental Research Funds for the Central Universities B200202156

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Abstract

In this paper, we prove the local well-posedness of strong solutions to the density-dependent incompressible magneto-micropolar system with vacuum. There is no assuming compatibility condition on the initial data.

Keywords:

LWP,
magneto-micropolar,
vacuum.

Mathematics Subject Classification: Primary: 35Q35, 35B40, 76N15.

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References

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