Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
The surface tension makes free surfaces of fluids instantaneously smooth. For 2D gravity-capillary waves, this phenomenon has been justified by Christianson–Hur–Staffilani and Alazard–Burq–Zuily as local smoothing effects.
In this talk, I will present a microlocal justification of this phenomenon for gravity-capillary waves in arbitrary dimensions.
My main results are two propagation theorems for some quasi-homogeneous wavefront sets of gravity-capillary waves.