6 citations · 11 across the 10 of their papers we have counts for
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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…
math.DS2019
Torus knot choreographies in the -body problem
Renato Calleja, Carlos García-Azpeitia, Jean-Philippe Lessard +1
We develop a systematic approach for proving the existence of choreographic solutions in the gravitational body problem. Our main focus is on spatial torus knots: that is, peri…