2 citations · 2 across the 8 of their papers we have counts for
3 papers · 1 filter
Global dynamics in nonconservative nonlinear Schrödinger equations
Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu
In this paper, we study the global dynamics of a class of nonlinear Schrödinger equations using perturbative and non-perturbative methods. We prove the semi-global existence of sol…
Free vibrations in a wave equation modeling MEMS
Carlos García-Azpeitia, Jean-Philippe Lessard
We study a nonlinear wave equation appearing as a model for a membrane (without viscous effects) under the presence of an electrostatic potential with strength . The membrane ha…
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…