Bounded solutions of ideal MHD with compact support in space-time
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Publication:2219472
DOI10.1007/s00205-020-01570-yzbMath1462.76208arXiv1909.08678OpenAlexW3090166240MaRDI QIDQ2219472
Daniel Faraco, László jun. Székelyhidi, Sauli Lindberg
Publication date: 20 January 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08678
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Cites Work
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- Dissipative continuous Euler flows
- Wild solutions for 2D incompressible ideal flow with passive tracer
- The pullback equation for differential forms
- An inviscid flow with compact support in space-time
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
- On admissibility criteria for weak solutions of the Euler equations
- Dissipative anomalies in singular Euler flows
- The Euler equations as a differential inclusion
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
- Weak convergence of wave maps from \((1+2)\)-dimensional Minkowski space to Riemannian manifolds
- Topological methods in hydrodynamics
- A proof of Onsager's conjecture
- Hölder continuous solutions of active scalar equations
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Compensated compactness and Hardy spaces
- Convex integration with constraints and applications to phase transitions and partial differential equations
- Proof of Taylor's conjecture on magnetic helicity conservation
- Energy and cross-helicity conservation for the three-dimensional ideal MHD equations in a bounded domain
- Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations
- \(C^1\) isometric imbeddings
- Dissipation in turbulent solutions of 2D Euler equations
- High dimensionality and h-principle in PDE
- Some mathematical questions related to the mhd equations
- Onsager's Conjecture for Admissible Weak Solutions
- Laminates and microstructure
- Convex integration for a class of active scalar equations
- A THEOREM ON FORCE-FREE MAGNETIC FIELDS
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- A note on the energy conservation of the ideal MHD equations
- Partial Differential Relations
- Relaxation of the incompressible porous media equation
- The ℎ-principle and the equations of fluid dynamics
- Weak Solutions to the Stationary Incompressible Euler Equations
- Nonuniqueness of Weak Solutions to the SQG Equation
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Convex Integration and Infinitely Many Weak Solutions to the Perona--Malik Equation in All Dimensions
- Remarks on the magnetic helicity and energy conservation for ideal magneto-hydrodynamics
- The degree of knottedness of tangled vortex lines
- Nonlinear partial differential equations with applications
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