Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty,1}\)
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Publication:2634872
DOI10.1007/s00208-015-1213-0zbMath1336.35280arXiv1405.4933OpenAlexW600766422MaRDI QIDQ2634872
Gerard Misiołek, Tsuyoshi Yoneda
Publication date: 10 February 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.4933
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Euler equations (35Q31)
Related Items (10)
Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty,1}\) ⋮ Illposedness of \(C^2\) vortex patches ⋮ Ill-posedness for the Euler equations in Besov spaces ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Non-uniform dependence for Euler equations in Besov spaces ⋮ Local well-posedness of the incompressible Euler equations in \(B_{\infty, 1}^1\) and the inviscid limit of the Navier-Stokes equations ⋮ On the existence, uniqueness, and smoothing of solutions to the generalized SQG equations in critical Sobolev spaces ⋮ \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics ⋮ Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces ⋮ On Singular Vortex Patches, I: Well-posedness Issues
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