10.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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8 papers · 2 filters
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…
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…
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…
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…
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.
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…
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…
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…