222 citations · 909 across the 49 of their papers we have counts for
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Scaling Variables and Stability of Hyperbolic Fronts
Th. Gallay, G. Raugel
We consider the damped hyperbolic equation (1) εu_{tt} + u_t = u_{xx} + F(u), x \in R, t \ge 0, where εis a positive, not necessarily small parameter. We assume that F(0) = F(1) =…
Stability of Propagating Fronts in Damped Hyperbolic Equations
Th. Gallay, G. Raugel
We consider the damped hyperbolic equation in one space dimension , where is a positive, not necessarily small parameter. We assume that $F(0)=F(…
Diffusive Mixing of Stable States in the Ginzburg-Landau Equation
Thierry Gallay, Alexander Mielke
For the time-dependent Ginzburg-Landau equation on the real line, we construct solutions which converge, as , to periodic stationary states with different wave-num…
Existence and Stability of Propagating Fronts for an Autocatalytic Reaction-Diffusion System
Stephane Focant, Thierry Gallay
We study a one-dimensional reaction-diffusion system which describes an isothermal autocatalytic chemical reaction involving both a quadratic (A + B -> 2B) and a cubic (A + 2B -> 3…
Stability of Travelling Waves for a Damped Hyperbolic Equation
Th. Gallay, G. Raugel
We consider a nonlinear damped hyperbolic equation in , , depending on a positive parameter . If we set , this equation reduces to the well-known Ko…
Phase Slips and the Eckhaus Instability
J. -P. Eckmann, Th. Gallay, C. E. Wayne
We consider the Ginzburg-Landau equation, , with complex amplitude . We first analyze the phenomenon of phase slips as a conseq…