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4 papers · 2 filters
Inviscid limit for damped and driven incompressible Navier-Stokes equations in
P. Constantin, F. Ramos
We consider the zero viscosity limit of long time averages of solutions of damped and driven Navier-Stokes equations in . We prove that the rate of dissipation of en…
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
Carlos E. Kenig, Frank Merle
We prove, for the energy critical, focusing NLS, that for data whose energy is smaller than that of the standing wave, and whose homogeneous Sobolev norm H^1 is smaller than that o…
Decay estimates for the Schroedinger evolution on asymptotically conic surfaces of revolution I
Wilhelm Schlag, Avy Soffer, Wolfgang Staubach
We establish a dispersive estimate (with a decay of 1/t), valid for all times, for the Schroedinger evolution on a non-compact 2-dimensional manifold with a trapped geodesic.
Regularity of coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
Peter Constantin, Charles Fefferman, Edriss Titi +1
We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The…