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On the ill-posedness of active scalar equations with odd singular kernels

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Publication:2829841
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DOI10.1142/9789813142862_0014zbMath1348.35303OpenAlexW2437167897MaRDI QIDQ2829841

Fei Wang, Igor Kukavica, Vlad C. Vicol

Publication date: 8 November 2016

Published in: New Trends in Differential Equations, Control Theory and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/790ce509073f4a74dc653e640d0b0f3223cb4d7e


zbMATH Keywords

stabilityill-posednessactive scalar equationsGevrey-class


Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25)


Related Items (5)

Non existence and strong ill-posedness in \(C^k\) and Sobolev spaces for SQG ⋮ On well-posedness and singularity formation for the Euler-Riesz system ⋮ Fractional stochastic active scalar equations generalizing the multi-dimensional quasi-geostrophic \& 2D-Navier-Stokes equations: the general case ⋮ Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications ⋮ On local well-posedness of logarithmic inviscid regularizations of generalized SQG equations in borderline Sobolev spaces




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