32 citations · 39 across the 10 of their papers we have counts for
12 papers
Asymptotic self-similarity in diffusion equations with nonconstant radial limits at infinity
Thierry Gallay, Romain Joly, Geneviève Raugel
We study the long-time behavior of localized solutions to linear or semilinear parabolic equations in the whole space , where , assuming that the diffusion m…
Approximate controllability of second grade fluids
Van-Sang Ngo, Geneviève Raugel
This paper deals with the controllability of the second grade fluids, a class of non-Newtonian of differentiel type, on a two-dimensional torus. Using the method of Agrachev-Sarych…
Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations
Pavol Brunovský, Romain Joly, Geneviève Raugel
In this paper, we consider the scalar reaction-diffusion equations on a bounded domain of class . We show that the h…
Long time dynamics for weakly damped nonlinear Klein-Gordon equations
Nicolas Burq, Genevieve Raugel, Wilhelm Schlag
We continue our study of damped nonlinear Klein-Gordon equations. In our previous work we considered fixed positive damping and proved a form of the soliton resolution conjecture f…
Long time dynamics for damped Klein-Gordon equations
N. Burq, G. Raugel, W. Schlag
For general nonlinear Klein-Gordon equations with dissipation we show that any finite energy radial solution either blows up in finite time or asymptotically approaches a stationar…
Generic Morse-Smale property for the parabolic equation on the circle
Romain Joly, Geneviève Raugel
In this paper, we show that, for scalar reaction-diffusion equations on the circle , the Morse-Smale property is generic with respect to the non-linear…