Two dimensional water waves in holomorphic coordinates II: global solutions
By Mihaela Ifrim, D. Tataru. 2014
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This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates,and prove that small localized data leads to global solutions. This article is a continuation of authors' earlier paper arXiv:1401.1252.
Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0b129143acfe6f79c8f9fdd27940bd42c8785455
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In Applied Mathematics
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Long time behavior of solutions to the mKdV (2014, methodology): “1 can be compared to the similar results [18, 20].”