Publication: Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain
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KU-Authors
KU Authors
Co-Authors
Li, Y. Charles
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NO
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Volume Title
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Abstract
We consider the incompressible 2D Euler equations on bounded spatial domain S, and study the solution map on the Sobolev spaces H-k(S) (k > 2). Through an elaborate geometric construction, we show that for any T > 0, the time T solution map u(0) bar right arrow u(T) is nowhere locally uniformly continuous and nowhere Frechet differentiable.
Source
Publisher
International Press of Boston
Subject
Mathematics
Citation
Has Part
Source
Dynamics of Partial Differential Equations
Book Series Title
Edition
DOI
10.4310/DPDE.2019.v16.n4.a4