3 papers
math.AP2003
The asymptotic behaviour of solutions of forced Burgers equation on the circle
Patrick Bernard
We describe the asymptotic behaviour of solutions of unviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period…
math.AP2003
Convergence to time-periodic solutions in Hamilton-Jacobi equations on the circle
Patrick Bernard, Jean-Michel Roquejoffre
The goal of this paper is to give a simple proof of the convergence to time-periodic states of the solutions of time-periodic Hamilton-Jacobi equations on the circle with convex Ha…
math.DS2001
Connecting orbits of time dependent Lagrangian systems
Patrick Bernard
We generalize to higher dimension results of Birkhoff and Mather on the existence of orbits wandering in regions of instability of twist maps. This generalization is strongly inspi…