A simple ill-posedness proof for incompressible Euler equations in critical Sobolev spaces
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Publication:2170664
DOI10.1016/j.jfa.2022.109673zbMath1496.76023OpenAlexW4289936725MaRDI QIDQ2170664
Publication date: 6 September 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2022.109673
Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Cites Work
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- Finite time singularity for the modified SQG patch equation
- Exponential growth of the vorticity gradient for the Euler equation on the torus
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Nonlinear evolution equations and the Euler flow
- Ill-posedness for the incompressible Euler equations in critical Sobolev spaces
- Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1, \alpha}\) velocity and boundary
- Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations
- Finite-time singularity formation for \(C^{1,\alpha}\) solutions to the incompressible Euler equations on \(\mathbb{R}^3\)
- Non existence and strong ill-posedness in \(C^k\) and Sobolev spaces for SQG
- Strong ill-posedness of logarithmically regularized 2D Euler equations in the borderline Sobolev space
- Loss of regularity for the 2D Euler equations
- Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces
- Axisymmetric incompressible flows with bounded vorticity
- Strong Ill-Posedness of the 3D Incompressible Euler Equation in Borderline Spaces
- Bounded mean oscillation and the uniqueness of active scalar equations
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