Large-amplitude solitary waves with constant vorticity

Monday, April 5, 2021 - 10:00 to 11:00

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Meeting ID: 960 4927 0479

Speaker Information
Miles H. Wheeler
University of Bath

Abstract or Additional Information

We consider the classical problem of steady waves propagating along the surface of an incompressible fluid with constant vorticity. While there is now an elegant formulation of this problem as a non-local equation for the free surface alone, we instead view it as a local elliptic system for two scalar functions, one describing the conformal mapping of the fluid domain and another describing the motion inside the fluid. While less compact, this local formulation turns out to have several appealing features, which we take advantage of in order to prove a new result on the global bifurcation of solitary waves.

This is joint work with Susanna Haziot.

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