The Cauchy Problem for the Incompressible 2D‐MHD with Power Law‐Type Nonlinear Viscous Fluid

Jae-Myoung Kim

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: 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 ℝ2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate (1 + t)−1/2.

Date: 2021
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https://doi.org/10.1155/2021/6675729

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:6675729

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