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math.AP2019
Steady waves in flows over periodic bottoms
Walter Craig, Carlos García-Azpeitia
We study the formation of steady waves in two-dimensional fluids under a current with mean velocity flowing over a periodic bottom. Using a formulation based on the Dirichlet-N…
math.AP2019
Standing waves of fixed period for vortex filaments
Walter Craig, Carlos García-Azpeitia
The vortex filament problem has explicit solutions consisting of parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a centra…