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Time asymptotic profiles to the magneto-micropolar system

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ABSTRACT This work examines some decay properties of solutions to the Cauchy problem for the magneto-micropolar fluid equations on (where and real). We show, for each , that as for… Click to show full abstract

ABSTRACT This work examines some decay properties of solutions to the Cauchy problem for the magneto-micropolar fluid equations on (where and real). We show, for each , that as for Leray global solutions with an arbitrary initial data in . When the vortex viscosity is present, we obtain a (faster) decay for the micro-rotational field: . Some related results are also included.

Keywords: micropolar system; asymptotic profiles; time asymptotic; magneto micropolar; profiles magneto

Journal Title: Applicable Analysis
Year Published: 2019

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