Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces
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Publication:4635476
DOI10.1090/tran/7101zbMath1388.35160arXiv1601.01024OpenAlexW2962971242MaRDI QIDQ4635476
Tsuyoshi Yoneda, Gerard Misiołek
Publication date: 23 April 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.01024
PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items (14)
Perfect fluid flows on \(\mathbb{R}^d\) with growth/decay conditions at infinity ⋮ Regularity of the geodesic flow of the incompressible Euler equations on a manifold ⋮ On the asymptotic behavior of solutions of the 2d Euler equation ⋮ Spatially quasi-periodic solutions of the Euler equation ⋮ Geometric hydrodynamics in open problems ⋮ Ill-posedness for the Euler equations in Besov spaces ⋮ Global, local and dense non-mixing of the 3D Euler equation ⋮ Non-uniform dependence for Euler equations in Besov spaces ⋮ The Euler equations in a critical case of the generalized Campanato space ⋮ Local well-posedness of the incompressible Euler equations in \(B_{\infty, 1}^1\) and the inviscid limit of the Navier-Stokes equations ⋮ Loss of regularity for the 2D Euler equations ⋮ Vortex stretching and enhanced dissipation for the incompressible 3D Navier-Stokes equations ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces ⋮ On Singular Vortex Patches, I: Well-posedness Issues
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