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7 papers · 2 filters
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…
Selfsimilar expanders of the harmonic map flow
Pierre Germain, Melanie Rupflin
We study the existence, uniqueness, and stability of self-similar expanders of the harmonic map heat flow in equivariant settings. We show that there exist selfsimilar solutions to…
Homogenization of Elliptic Systems with Neumann Boundary Conditions
Carlos E. Kenig, Fanghua Lin, Zhongwei Shen
The main purpose of this work is to study uniform regularity estimates for a family of elliptic operators , arising in the theory of hom…
Uniform regularity for the Navier-Stokes equation with Navier boundary condition
Nader Masmoudi, Frederic Rousset
We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a stron…
Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
Percy Deift, Jungwoon Park
We consider the one-dimensional focusing nonlinear Schrödinger equation (NLS) with a delta potential and even initial data. The problem is equivalent to the solution of the initial…
Vector-valued optimal Lipschitz extensions
Scott Sheffield, Charles K. Smart
Consider a bounded open set in and a Lipschitz function g from the boundary of to . Does this function always have a canonical optimal Lipschitz extension to all…