1 citations · 1 across the 5 of their papers we have counts for
7 papers
Existence and stability of asymmetric Burgers vortices
Th. Gallay, C. E. Wayne
Burgers vortices are stationary solutions of the three-dimensional Navier-Stokes equations in the presence of a background straining flow. These solutions are given by explicit for…
On the uniqueness of the solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity
Isabelle Gallagher, Thierry Gallay, Pierre-Louis Lions
We propose two different proofs of the fact that Oseen's vortex is the unique solution of the two-dimensional Navier-Stokes equation with a Dirac mass as initial vorticity. The fir…
Uniqueness for the two-dimensional Navier-Stokes equation with a measure as initial vorticity
Isabelle Gallagher, Thierry Gallay
We show that any solution of the two-dimensional Navier-Stokes equation whose vorticity distribution is uniformly bounded in for positive times is entirely determined by…
Stable transport of information near essentially unstable localized structures
Thierry Gallay, Guido Schneider, Hannes Uecker
When the steady states at infinity become unstable through a pattern forming bifurcation, a travelling wave may bifurcate into a modulated front which is time-periodic in a moving…
Convergence results for a coarsening model using global linearization
Th. Gallay, A. Mielke
We study a coarsening model describing the dynamics of interfaces in the one-dimensional Allen-Cahn equation. Given a partition of the real line into intervals of length greater th…
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) =…