Local existence for the non-resistive MHD equations in Besov spaces
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Publication:890124
DOI10.1016/j.aim.2015.09.004zbMath1333.35183arXiv1503.01651OpenAlexW2963057747MaRDI QIDQ890124
Jean-Yves Chemin, Jose L. Rodrigo, David S. McCormick, James C. Robinson
Publication date: 9 November 2015
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.01651
PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Cites Work
- Unnamed Item
- Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
- A regularity criterion for the 2D MHD system with zero magnetic diffusivity
- Well-posedness of the ideal MHD system in critical Besov spaces
- Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
- Solutions of the 3D Navier-Stokes equations for initial data in \(\dot H^{1/2}\): robustness of regularity and numerical verification of regularity for bounded sets of initial data in
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- Mathematical results related to a two-dimensional magneto-hydrodynamic equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Vorticity and Incompressible Flow
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Existence of Weak Solutions for the Navier-Stokes Equations with Initial Data in L p
- Commutator estimates and the euler and navier-stokes equations
- Remarques sur l’Existence Globale Pour le Système de Navier–Stokes Incompressible
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