Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the \(L^p\) framework
DOI10.1007/s42985-022-00211-1zbMath1503.35181OpenAlexW4306749392WikidataQ115369377 ScholiaQ115369377MaRDI QIDQ2098088
Publication date: 17 November 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-022-00211-1
PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
- Remarks on regularities for the 3D MHD equations
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
- 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
- Two regularity criteria for the 3D MHD equations
- Theory of function spaces II
- On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
- Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
- Global well-posedness of the incompressible magnetohydrodynamics
- Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Global existence of 3D MHD equations with mixed partial dissipation and magnetic diffusion
- Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
- Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation
- 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 well-posedness of the MHD equations in a homogeneous magnetic field
- Mathematical results related to a two-dimensional magneto-hydrodynamic equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
- Global Small Solution to the 2D MHD System with a Velocity Damping Term
- Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
- Well‐posedness for the incompressible magneto‐hydrodynamic system
This page was built for publication: Local existence for the non-resistive magnetohydrodynamic system with fractional dissipation in the \(L^p\) framework
