222 citations · 909 across the 49 of their papers we have counts for
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patt-sol1998
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) =…
patt-sol1998
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(…
patt-sol1998★ 25 cited
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…