Publication:
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain

Thumbnail Image

Organizational Units

Program

KU-Authors

KU Authors

Co-Authors

Li, Y. Charles

Advisor

Publication Date

Language

English

Journal Title

Journal ISSN

Volume Title

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:

Dynamics of Partial Differential Equations

Publisher:

International Press of Boston

Keywords:

Subject

Mathematics

Citation

Endorsement

Review

Supplemented By

Referenced By

Copyrights Note

0

Views

2

Downloads

View PlumX Details