
Time asymptotic profiles to the magneto-micropolar system
2019; Taylor & Francis; Volume: 99; Issue: 15 Linguagem: Inglês
10.1080/00036811.2019.1578347
ISSN1563-504X
AutoresCilon Perusato, Wilberclay G. Melo, Robert Guterres, Juliana R. Nunes,
Tópico(s)Stability and Controllability of Differential Equations
ResumoThis work examines some decay properties of solutions to the Cauchy problem for the magneto-micropolar fluid equations on H˙s(Rn) (where n=2,3 and s≥ 0 real). We show, for each s≥ 0, that ts/2∥(u,w,b)(⋅,t)∥H˙s(Rn)→0 as t→∞ for Leray global solutions with an arbitrary initial data in L2(Rn). When the vortex viscosity is present, we obtain a (faster) decay for the micro-rotational field: ∥w(⋅,t)∥H˙s(Rn)=o(t(s+1)/2). Some related results are also included.
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