The lifespan of small data solutions in two dimensional capillary water
- Author(s): Ifrim, M
- Tataru, D
- et al.
This article is concerned with the incompressible, irrotational infinite depth water wave equation in two space dimensions, without gravity but with surface tension. We consider this problem expressed in position-velocity potential holomorphic coordinates,and prove that small data solutions have at least cubic lifespan while small localized data leads to global solutions.
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