On the uniqueness for the 2D MHD equations without magnetic diffusion
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Publication:253858
DOI10.1016/j.nonrwa.2015.11.006zbMath1342.35268arXiv1503.03589OpenAlexW2964261046MaRDI QIDQ253858
Publication date: 8 March 2016
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.03589
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Unnamed Item
- A regularity criterion for the 2D MHD system with zero magnetic diffusivity
- Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-\(\alpha\)-MHD model
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Commutator estimates and the euler and navier-stokes equations
- Nonlinear Schrödinger evolution equations
- Modern Fourier Analysis
- The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
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