G. Raugel

activity

19982020

most citedGeneric Morse-Smale property for the parabolic equation on the circle

32 citations · 39 across the 10 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.AP2010★ 32 cited

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 $u_{t} = u_{xx} + f (x, u, u_{x})$ on the circle $S^{1}$ , the Morse-Smale property is generic with respect to the non-linear…

math.AP2010★ 5 cited

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations

Romain Joly, Geneviève Raugel

The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $y ˙ (t) = g (y (t))$ on $R^{d}$ and those of the parabolic equatio…