output
20022011
most citedRandom data Cauchy theory for supercritical wave equations I: Local theory

200 citations

Showing 2008 · math.APShow all

6 papers · 2 filters

math.AP20089 cited

Uniform Local Existence for Inhomogeneous Rotating Fluid Equations

Mohamed Majdoub, Marius Paicu

We investigate the equations of anisotropic incompressible viscous fluids in , rotating around an inhomogeneous vector . We prove the global existence of stro…

math.AP20085 cited

Symmetry and monotonicity of least energy solutions

Jaeyoung Byeon, Louis Jeanjean, Mihai Mariş

We give a simple proof of the fact that for a large class of quasilinear elliptic equations and systems the solutions that minimize the corresponding energy in the set of all solut…

math.AP20083 cited

Counter example to Strichartz estimates for the wave equation in domains

Oana Ivanovici

Let U be a bounded, regular, strictly convex domain of R^2 and consider the wave equation on U with Dirichlet boundary condition. We prove that in such a domain the Strichartz esti…

math.AP200861 cited

Orbital stability of the black soliton to the Gross-Pitaevskii equation

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut +1

We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = þ\big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respec…

math.AP200820 cited

Some isoperimetric inequalities with application to the Stekloff problem

Antoine Henrot, Gérard A. Philippin, Abdesselam Safoui

In this paper we establish isoperimetric inequalities for the product of some moments of inertia. As an application, we obtain an isoperimetric inequality for the product of the $N…

math.AP200845 cited

On the stability of a singular vortex dynamics

Valeria Banica, Luis Vega

In this paper we address the question of the singular vortex dynamics exhibited in [15], which generates a corner in finite time. The purpose is to prove that under some appropriat…