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Current Colloquia & Seminars

  1. Graduate Student Working Group: No Pure Capillary Solitary Waves Exist in 2D Finite Depth & Linear Instability in Fluid Free Surface Problems

    Location: MSRI: Online/Virtual
    Speakers: Xiao Liu (Georgia Institute of Technology), Ben Pineau (University of California, Berkeley)

    To participate in this seminar, please register here: https://www.msri.org/seminars/25657


    Ben Pineau (University of California, Berkeley)

    Title:  No Pure Capillary Solitary Waves Exist in 2D Finite Depth

    Abstract:  We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions (with appropriate averaged decay at infinity). This closes the existence/non-existence problem for solitary water waves in 2D, under the classical assumptions of incompressibility and irrotationality, and with the physical parameters being gravity, surface tension and the fluid depth.

    Xiao Liu (Georgia Institute of technology)

    Title: Linear Instability in Fluid Free Surface Problems

    Abstract: We consider a class of shear flows in 2d capillary gravity water wave problem with flat bottom. We analyze in details the eigenvalue distribution of linearized system and the linear flow it generates. This is a joint work with Chongchun Zeng.

    Updated on May 07, 2021 08:43 AM PDT