Global Regularity for 2D Water Waves with Surface Tension
The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors&#...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence :
American Mathematical Society,
2019.
|
| Series: | Memoirs of the American Mathematical Society Ser.
|
| Subjects: | |
| Online Access: |
Full text (Emmanuel users only) |
| Summary: | The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the ""quasilinear I-method"") which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called ""division problem""). As a result, they are able to consider a suit. |
|---|---|
| Physical Description: | 1 online resource (136 pages) |
| ISBN: | 9781470449179 147044917X |
| Source of Description, Etc. Note: | Print version record. |