4.5 Article

Existence and uniqueness of time periodic solutions to the compressible magneto-micropolar fluids in a periodic domain

Journal

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-020-01409-2

Keywords

Time periodic solution; Compressible magneto-micropolar fluids; Topological degree theory; Energy estimates

Funding

  1. National Natural Science Foundation of China [11801295]
  2. Shandong Provincial Natural Science Foundation, China [ZR2018BA008]

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We consider the existence and uniqueness of a time periodic solution for the compressible magneto-micropolar fluids with time periodic forces in a periodic domain. More precisely, under some smallness and symmetry assumptions on the external forces, we prove the existence of the periodic solution by a regularized approximation scheme and the topological degree theory. The uniqueness of the periodic solution is obtained by energy estimates.

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