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Séminaire de EDP - Physique Mathématique

A priori estimates for the water waves problem with surface tension in a corner domain

Ming Mei

Salle de Conférences

le 11 septembre 2018 à 11:30

We study the two dimensional water waves problem with surface tension in the case when there is a non-zero contact angle between the free surface and the bottom. In the presence of surface tension, dissipations take place at the contact point. Moreover, when the contact angle is less than π/6\pi/6 , no singularity appears in our settings. Using elliptic estimates in corner domains and a geometric approach, we prove an a priori estimate for the water waves problem. This is a joint work with Chao Wang.