T
Thierry Gallay
Researcher at University of Grenoble
Publications - 97
Citations - 2348
Thierry Gallay is an academic researcher from University of Grenoble. The author has contributed to research in topics: Vortex & Vorticity. The author has an hindex of 25, co-authored 94 publications receiving 2107 citations. Previous affiliations of Thierry Gallay include Joseph Fourier University & University of Geneva.
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Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2
Thierry Gallay,C. Eugene Wayne +1 more
TL;DR: In this article, the authors construct finite-dimensional invariant manifolds in the phase space of the Navier-Stokes equation on R 2 and show that these manifolds control the long-time behavior of the solutions.
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Global Stability of Vortex Solutions of the Two-Dimensional Navier-Stokes Equation
Thierry Gallay,C. Eugene Wayne +1 more
TL;DR: In this article, it was shown that any solution of the two-dimensional Navier-Stokes equation whose initial vorticity distribution is integrable converges to an explicit self-similar solution called Oseen's vortex.
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Orbital stability of periodic waves for the nonlinear Schrödinger equation
Thierry Gallay,Mariana Hǎrǎgus +1 more
TL;DR: In this article, it was shown that these traveling waves are orbitally stable within the class of solutions having the same period and the same Floquet exponent, under a non-degeneracy condition which can be checked numerically.
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A center-stable manifold theorem for differential equations in Banach spaces
TL;DR: In this paper, a center-stable manifold theorem for a class of differential equations in (infinite-dimensional) Banach spaces was proved for the class of equations with center-stability.
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Local stability of critical fronts in nonlinear parabolic partial differential equations
TL;DR: For the Ginzburg-Landau equation and similar nonlinear parabolic partial differential equations on the real line, this article proved the nonlinear stability of the slowest monotonic front solution.