Incompressible limit of non-isentropic compressible magnetohydrodynamic equations with zero magnetic diffusivity in bounded domains

Publication date: October 2019Source: Nonlinear Analysis: Real World Applications, Volume 49Author(s): Yaobin Ou, Lu YangAbstractThis paper verifies the incompressible limit of the non-isentropic compressible magnetohydrodynamic (MHD) equations without magnetic diffusion in a three-dimensional bounded C4-domain. The uniform estimates in both the Mach number ϵ and the Péclet number κ for the local strong solutions, which exclude the estimate of high-order derivatives of the velocity in the normal directions to the boundary, are established in a short time interval independent of ϵ and κ (κ≤O(ϵβ), 0<β≤43), provided that the “well-prepared” initial condition for the solution and the non-slip boundary condition for the velocity are imposed.

Source: Nonlinear Analysis: Real World Applications - February 28, 2019 Category: Research Source Type: research