Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space
DOI10.1515/MATH-2022-0014zbMath1506.35141OpenAlexW4226497356MaRDI QIDQ2135065
Publication date: 4 May 2022
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2022-0014
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Weak solutions to PDEs (35D30) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
- Infinite-dimensional dynamical systems in mechanics and physics.
- Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
- Well-posedness for the Navier-Stokes equations in critical mixed-norm Lebesgue spaces
- On the Navier-Stokes initial value problem. I
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
- Inéquations en thermoélasticité et magnétohydrodynamique
- Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
- Some mathematical questions related to the mhd equations
- Global well‐posedness and existence of uniform attractor for magnetohydrodynamic equations
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
This page was built for publication: Well posedness of magnetohydrodynamic equations in 3D mixed-norm Lebesgue space