Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan

Authors :: Mihaela Ifrim
Daniel Tataru
Source :: Ifrim, M; & Tataru, D. (2016). Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan. PDE, 12, 903-967. doi: 10.2140/apde.2019.12.903. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/82d2v08j, Analysis and PDE, vol 12, iss 4, Anal. PDE 12, no. 4 (2019), 903-967, Analysis & PDE, vol 12, iss 4
Publication Year :: 2015
Publisher :: arXiv, 2015.
Abstract: This article is concerned with the incompressible, infinite depth water wave equation in two space dimensions, with gravity and constant vorticity but with no surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove local well-posedness for large data, as well as cubic lifespan bounds for small data solutions.<br />Comment: 64 pages

Database :: OpenAIRE
Journal :: Ifrim, M; & Tataru, D. (2016). Two dimensional gravity water waves with constant vorticity: I. Cubic lifespan. PDE, 12, 903-967. doi: 10.2140/apde.2019.12.903. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/82d2v08j, Analysis and PDE, vol 12, iss 4, Anal. PDE 12, no. 4 (2019), 903-967, Analysis & PDE, vol 12, iss 4
Accession number :: edsair.doi.dedup.....25ae896b66b42b0cfa79073305c94348
Full Text :: https://doi.org/10.48550/arxiv.1510.07732