On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
DOI10.1002/cpa.21645zbMath1372.35229arXiv1511.02978OpenAlexW2963620957MaRDI QIDQ4978437
Publication date: 10 August 2017
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.02978
smooth solutionsglobal existenceLittlewood-Paley theorylarge-time decayincompressible magnetohydrodynamical system
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
- Global small solutions of 2-D incompressible MHD system
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- Compressible fluid flow and systems of conservation laws in several space variables
- 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
- Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
- The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
- Almost exponential decay of periodic viscous surface waves without surface tension
- 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
- Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension
- On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Anisotropic Navier-Stokes equation in critical spaces
- Some Analytical Issues for Elastic Complex Fluids
- A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global existence for the magnetohydrodynamic system in critical spaces
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
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