output
19932026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2010 · math.APShow all

8 papers · 2 filters

math.AP2010★ 36 cited

Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions

Jérôme Le Rousseau, Nicolas Lerner

We consider a second-order selfadjoint elliptic operator with an anisotropic diffusion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-functio…

math.AP2010

Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics

Yann Brenier

We consider minimizing geodesics along the group of volume preserving maps of a given 3-dimensional domain . The corresponding curves describe the motion of an…

math.AP2010★ 4 cited

From the Ginzburg-Landau model to vortex lattice problems

Etienne Sandier, Sylvia Serfaty

We study minimizers of the two-dimensional Ginzburg-Landau energy with applied magnetic field, between the first and second critical fields. In this regime, minimizing configuratio…

math.AP2010

Minimizers of the Lawrence-Doniach Functional with Oblique Magnetic Fields

Stan Alama, Lia Bronsard, Étienne Sandier

We study minimizers of the Lawrence--Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic boundary conditions. Sp…

math.AP2010★ 3 cited

Stability of the line soliton of the KP-II equation under periodic transverse perturbations

Tetsu Mizumachi, Nikolay Tzvetkov

We prove the nonlinear stability of the KdV solitary waves considered as solutions of the KP-II equation, with respect to periodic transverse perturbations.

math.AP2010

Two-Dimensional Curved Fronts in a Periodic Shear Flow

Mohammad El Smaily, Francois Hamel, Rui Huang

This paper is devoted to the study of travelling fronts of reaction-diffusion equations with periodic advection in the whole plane . We are interested in curved fronts…

math.AP2010★ 77 cited

Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations

Carlos E. Kenig, Yvan Martel, Luc Robbiano

We consider a family of dispersion generalized Benjamin-Ono equations (dgBO) which are critical with respect to the L2 norm and interpolate between the critical modified (BO) equat…

math.AP2010★ 107 cited

Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3)

Sebastian Herr, Daniel Tataru, Nikolay Tzvetkov

A refined trilinear Strichartz estimate for solutions to the Schrödinger equation on the flat rational torus T^3 is derived. By a suitable modification of critical function space t…