Non-uniform continuous dependence and continuous dependence for the non-resistive MHD equations

DOI10.1016/j.aim.2023.109112arXiv1811.00375OpenAlexW2899064013MaRDI QIDQ6103502

Jinlu Li, Zhaoyang Yin, Weipeng Zhu

Publication date: 5 June 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00375

zbMATH Keywords

continuous dependencenon-resistive MHD equationsnon-uniform continuous dependence

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

• On the uniqueness for the 2D MHD equations without magnetic diffusion
• Global small solutions of 2-D incompressible MHD system
• Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
• Local existence for the non-resistive MHD equations in Besov spaces
• Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
• Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics
• Local well-posedness of the incompressible Euler equations in \(B_{\infty, 1}^1\) and the inviscid limit of the Navier-Stokes equations
• Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
• Global small solutions to a complex fluid model in three dimensional
• Well-posedness and analytic solutions of the two-component Euler-Poincaré system
• Mathematical results related to a two-dimensional magneto-hydrodynamic equations
• Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field
• Fourier Analysis and Nonlinear Partial Differential Equations
• The initial-value problem for the Korteweg-de Vries equation
• On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
• Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
• The Cauchy problem for the Novikov equation

This page was built for publication: Non-uniform continuous dependence and continuous dependence for the non-resistive MHD equations