Strong magnetic field limit in a nonlinear Iwatsuka-type model
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DOI: 10.1016/j.jde.2021.08.024
Abstract: We study the strong magnetic field limit for a nonlinear Iwatsukatype model, i.e. a nonlinear Schrödinger equation in two spatial dimensions with a magnetic vector potential that only depends on the x-coordinate. Using a high-frequency… read more here.
Keywords: limit nonlinear; model; strong magnetic; magnetic field ... See more keywords
Diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow with fixed viscosity
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30770-7
Abstract: Abstract We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including… read more here.
Keywords: magnetohydrodynamic flow; limit nonlinear; pipe magnetohydrodynamic; nonlinear pipe ... See more keywords