电竞菠菜外围app

科学研究
报告题目:

On Magnetic Inhibition Theory in Non-resistive Magnetohydrodynamic Fluids: Existence of Solutions in Some Classes of Large Data

报告人:

江飞 教授(福州大学)

报告时间:

报告地点:

腾讯会议 ID:100 155 647

报告摘要:

This paper is concerned with existence of solutions to the incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial perturbations in there-dimensional (3D) periodic domains (in Lagrangian coordinates). Motivated by the approximate theory of non-resistive MHD equations, the Diophantine condition imposed by Chen--Zhang--Zhou and the magnetic inhibition mechanism of Lagrangian coordinates version in our previous paper, we prove the existence of unique classical solutions with some class of large initial perturbations, where the intensity of impressive magnetic fields depends increasingly on the $ H^{17}\times H^{21}$-norm of the initial perturbation of both the velocity and magnetic field. Our result not only mathematically verifies that magnetic fields prevent the singularity formation of solutions with large initial velocity in the viscous case, but also provide a starting point for the existence theory of large perturbation solutions of the 3D non-resistive viscous MHD equations. In addition, we further rigorously prove that, for large time or strong magnetic field, the MHD equations reduce to the corresponding linearized equations by providing the error estimates, which enjoy the types of algebraic decay with respect to the both of time and field intensity, between the solutions of both the nonlinear and linear equations.