Magnetic relaxation of a Voigt-MHD system
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Publication:6116809
DOI10.1007/s00220-023-04770-1zbMath1529.35371arXiv2208.11109MaRDI QIDQ6116809
Peter Constantin, Federico Pasqualotto
Publication date: 16 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.11109
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (2)
Nested invariant tori foliating a vector field and its curl: Toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries ⋮ 2D Voigt Boussinesq equations
Cites Work
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- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
- On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
- Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
- A steady Euler flow with compact support
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models
- Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications
- Flexibility and rigidity in steady fluid motion
- On Moffatt's magnetic relaxation equations
- Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations
- \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics
- Nonlinear stability for the Maxwell-Born-Infeld system on a Schwarzschild background
- Topology-preserving diffusion of divergence-free vector fields and magnetic relaxation
- Equilibrium of a Magnetically Confined Plasma in a Toroid
- Analytical study of certain magnetohydrodynamic-α models
- Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 2. Stability considerations
- Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
- Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure
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