Regularity and uniqueness of 3D compressible magneto-micropolar fluids

Mingyu Zhang; Mingyu Zhang

doi:10.3934/math.2024713

AIMS Mathematics

2024, Volume 9, Issue 6: 14658-14680. doi: 10.3934/math.2024713

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Research article Special Issues

Regularity and uniqueness of 3D compressible magneto-micropolar fluids

Mingyu Zhang ^,

School of Mathematics and Statistics, Weifang University, Weifang 261061, China

Received: 23 February 2024 Revised: 27 March 2024 Accepted: 16 April 2024 Published: 23 April 2024
MSC : 35B65, 35Q35, 76N10

This article established the global existence and uniqueness of solutions for the 3D compressible magneto-micropolar fluid system with vacuum. The remarkable thing is that in the context of small initial energy, we got a new result with a lower regularity than we ever have before.
- magneto-micropolar fluids,
- Cauchy problem,
- global regularity,
- uniqueness vacuum
Citation: Mingyu Zhang. Regularity and uniqueness of 3D compressible magneto-micropolar fluids[J]. AIMS Mathematics, 2024, 9(6): 14658-14680. doi: 10.3934/math.2024713

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Abstract

This article established the global existence and uniqueness of solutions for the 3D compressible magneto-micropolar fluid system with vacuum. The remarkable thing is that in the context of small initial energy, we got a new result with a lower regularity than we ever have before.

References

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