4.5 Article

Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum

Journal

Publisher

SPRINGER INT PUBL AG
DOI: 10.1007/s00033-021-01642-3

Keywords

Compressible magneto-micropolar fluid equations; Strong solutions; Barotropic fluids; Vacuum

Funding

  1. Postgraduate Research and Innovation Project of Chongqing [CYS20100]
  2. National Natural Science Foundation of China [11901474, 12071359]
  3. Chongqing Talent Plan for Young Topnotch Talents [CQYC202005074]
  4. Innovation Support Program for Chongqing Overseas Returnees [cx2020082]

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This paper establishes the local well-posedness of the barotropic compressible magneto-micropolar fluid equations with initial density containing vacuum states. It proves the local existence and uniqueness of strong solutions in bounded domains or the whole space R-3, without the need for compatibility condition on the initial data.
This paper concerns the local well-posedness of barotropic compressible magneto-micropolar fluid equations with initial density containing vacuum states. We prove local existence and uniqueness of strong solutions in bounded domains or the whole space R-3. In particular, there is no need to require compatibility condition on the initial data with the help of time weighted estimates.

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