We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution (u, b) depending on a number q in R-2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate (1 + t)(-1/2).
机构:
Univ Bordeaux, UMR CNRS 5251, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, FranceUniv Bordeaux, UMR CNRS 5251, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France
机构:
Jilin Univ, Sch Math, Changchun 130012, Peoples R China
Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R ChinaJilin Univ, Sch Math, Changchun 130012, Peoples R China
Liu, Yang
Zhou, Nan
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机构:
Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R ChinaJilin Univ, Sch Math, Changchun 130012, Peoples R China
Zhou, Nan
Chang, Da
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Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R ChinaJilin Univ, Sch Math, Changchun 130012, Peoples R China