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Home » MLA - Special Seminar: Propagation of singularities for gravity-capillary waves

Seminar

MLA - Special Seminar: Propagation of singularities for gravity-capillary waves December 03, 2019 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Hui Zhu (Université de Paris XI)
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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.

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