Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590887 | Journal of Functional Analysis | 2013 | 31 Pages |
Abstract
We prove via explicitly constructed initial data that solutions to the gravity-capillary wave system in R3 representing a 2d air–water interface immediately fail to be C3 with respect to the initial data if the initial data for s<3. Similar results hold in R2 domains with a 1d interface. Furthermore, we discuss the related threshold for the pure gravity water wave system.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory