Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity
Global well-posedness for 2D nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity
We study an initial-boundary value problem of two-dimensional nonhomogeneous asymmetric fluids with magnetic field and density-dependent viscosity $$\mu (\rho )$$ . Applying Desjardins' interpolation inequality and delicate energy estimates, we show the global-in-time existence of a unique strong solution when $$\Vert \nabla \mu (\rho _0)\Vert _{L^q}$$ is properly small. Moreover, …