Osgood's lemma and some results for the slightly supercritical 2D Euler equations for incompressible flow
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Publication:2453957
DOI10.1007/s00205-013-0691-zzbMath1293.35225OpenAlexW2093332620WikidataQ124968799 ScholiaQ124968799MaRDI QIDQ2453957
Publication date: 12 June 2014
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-013-0691-z
Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) A priori estimates in context of PDEs (35B45) Euler equations (35Q31)
Related Items (4)
Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion ⋮ Active vector models generalising 3D Euler and electron–MHD equations ⋮ Temperature patches for a generalised 2D Boussinesq system with singular velocity ⋮ Regularity results for a class of generalized surface quasi-geostrophic equations
Cites Work
- Unnamed Item
- Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift
- Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations
- Blow up and regularity for fractal Burgers equation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
- Global regularity for vortex patches
- Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Variation on a theme of Caffarelli and Vasseur
- Blow-up of solutions for a 1D transport equation with nonlocal velocity and supercritical dissipation
- Formation of singularities for a transport equation with nonlocal velocity
- Global well-posedness of slightly supercritical active scalar equations
- Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
- Fourier Analysis and Nonlinear Partial Differential Equations
- On the flow map for 2D Euler equations with unbounded vorticity
- Finite time singularities and global well-posedness for fractal Burgers equations
- Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
- A simple one‐dimensional model for the three‐dimensional vorticity equation
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