222 citations · 909 across the 49 of their papers we have counts for
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Orbital stability in the cubic defocusing NLS equation: II. The black soliton
Thierry Gallay, Dmitry Pelinovsky
Combining the usual energy functional with a higher-order conserved quantity originating from integrability theory, we show that the black soliton is a local minimizer of a quantit…
Infinite energy solutions of the two-dimensional Navier-Stokes equations
Thierry Gallay
These notes are based on a series of lectures delivered by the author at the University of Toulouse in February 2014. They are entirely devoted to the initial value problem and the…
Orbital stability in the cubic defocusing NLS equation: I. Cnoidal periodic waves
Thierry Gallay, Dmitry Pelinovsky
Periodic waves of the one-dimensional cubic defocusing NLS equation are considered. Using tools from integrability theory, these waves have been shown in [Bottman, Deconinck, and N…
Uniform boundedness and long-time asymptotics for the two-dimensional Navier-Stokes equations in an infinite cylinder
Thierry Gallay, Sinisa Slijepcevic
We study the incompressible Navier-Stokes equations in the two-dimensional strip , with periodic boundary conditions and no exterior forcing. If the initia…