output
19932026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2012 · math.APShow all

7 papers · 2 filters

math.AP2012★ 11 cited

Existence of quasipatterns solutions of the Swift-Hohenberg equation

Boele Braaksma, Gérard Iooss, Laurent Stolovitch

We consider the steady Swift - Hohenberg partial differential equation. It is a one-parameter family of PDE on the plane, modeling for example Rayleigh - Bénard convection. For val…

math.AP2012★ 7 cited

On the cubic NLS on 3D compact domains

Fabrice Planchon

We prove bilinear estimates for the Schrödinger equation on 3D domains, with Dirichlet boundary conditions. On non-trapping domains, they match the case, while on bo…

math.AP2012★ 29 cited

Dispersion for the wave equation inside strictly convex domains I: the Friedlander model case

Oana Ivanovici, Gilles Lebeau, Fabrice Planchon

We consider a model case for a strictly convex domain of dimension with smooth boundary and we describe dispersion for the wave equation with Dirichlet boundary condition…

math.AP2012★ 32 cited

The NLS ground states on product spaces

Susanna Terracini, Nikolay Tzvetkov, Nicola Visciglia

We study the nature of the Nonlinear Schrödinger equation ground states on the product spaces , where is a compact Riemannian manifold. We prove that for smal…

math.AP2012★ 108 cited

Uniform convergence to equilibrium for granular media

François Bolley, Ivan Gentil, Arnaud Guillin

We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenera…

math.AP2012★ 18 cited

Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity, II

David Chiron, Mihai Mariş

We prove the existence of nontrivial finite energy traveling waves for a large class of nonlinear Schrödinger equations with nonzero conditions at infinity (includindg the Gross-Pi…

math.AP2012★ 18 cited

Direct competition results from strong competiton for limited resource

Sepideh Mirrahimi, Benoît Perthame, Joe Yuichiro Wakano

We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and re…