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Journal article
On the regularity of the flow map for the gravity-capillary equations
Journal of functional analysis, v 264(3), pp 752-782
01 Feb 2013
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We prove via explicitly constructed initial data that solutions to the gravity-capillary wave system in R-3 representing a 2d air water interface immediately fail to be C-3 with respect to the initial data if the initial data (h(0), psi(0)) is an element of Hs+1/2 circle times H-s for s < 3. Similar results hold in R-2 domains with a id interface. Furthermore, we discuss the related threshold for the pure gravity water wave system. (C) 2012 Elsevier Inc. All rights reserved.
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Details
- Title
- On the regularity of the flow map for the gravity-capillary equations
- Creators
- Robin Ming Chen - University of PittsburghJeremy L. Marzuola - University of North Carolina at Chapel HillDaniel Spirn - University of MinnesotaJ. Douglas Wright - Drexel University
- Publication Details
- Journal of functional analysis, v 264(3), pp 752-782
- Publisher
- Elsevier
- Number of pages
- 31
- Grant note
- 1105635 / Division Of Mathematical Sciences; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS) DMS-0908663; DMS-0707714; DMS-0955687; DMS-0807738; DMS-0908299; DMS-1105635 / NSF; National Science Foundation (NSF) NSF Postdoctoral Fellowship at Columbia University Hausdorff Center Postdoctoral Fellowship at Universitat Bonn
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000313760700006
- Scopus ID
- 2-s2.0-84871500582
- Other Identifier
- 991019182642804721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics