arXiv Analytics

Sign in

arXiv:1410.1570 [math.AP]AbstractReferencesReviewsResources

Wave breaking for the Whitham equation with fractional dispersion

Vera Mikyoung Hur, Lizheng Tao

Published 2014-10-06Version 1

We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that the initial datum is sufficiently steep.

Related articles: Most relevant | Search more
arXiv:1807.02025 [math.AP] (Published 2018-07-05)
A note on singularities in finite time for the constrained Willmore flow
arXiv:2007.04588 [math.AP] (Published 2020-07-09)
Blow up for a nonlinear PDE
arXiv:math/0308090 [math.AP] (Published 2003-08-10, updated 2006-08-15)
Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman