2 citations · 4 across the 10 of their papers we have counts for
3 papers · 1 filter
Rigorous numerics for nonlinear heat equations in the complex plane of time
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette +1
In this paper, we introduce a method for computing rigorous local inclusions of solutions of Cauchy problems for nonlinear heat equations for complex time values. Using a solution…
Spontaneous periodic orbits in the Navier-Stokes flow
Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard +1
In this paper, a general method to obtain constructive proofs of existence of periodic orbits in the forced autonomous Navier-Stokes equations on the three-torus is proposed. After…
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…