Local existence and uniqueness of classical solutions for the ideal MHD equations in 2D exterior domains
DOI10.1007/s00033-024-02384-8MaRDI QIDQ6655768
Publication date: 27 December 2024
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Connections of harmonic functions with differential equations in two dimensions (31A35)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
- 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
- Ordinary differential equations, transport theory and Sobolev spaces
- On a magnetohydrodynamic problem of Euler type
- On the equations of ideal incompressible magneto-hydrodynamics
- Weak and classical solutions of the two-dimensional magnetohydrodynamic 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
- Inéquations en thermoélasticité et magnétohydrodynamique
- A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains
- Introduction to Smooth Manifolds
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Some mathematical questions related to the mhd equations
- Global well-posedness of 2D Euler-α equation in exterior domain
This page was built for publication: Local existence and uniqueness of classical solutions for the ideal MHD equations in 2D exterior domains
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6655768)