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183 papers · 1 filter
Divergence-free drifts decrease concentration
Elias Hess-Childs, Renaud Raquépas, Keefer Rowan
We show that bounded divergence-free vector fields decrease the ''concentration'', quantified by the modulus of absolute contin…
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an -setting of monomially we…
Quantitative stability of Yang-Mills-Higgs instantons in two dimensions
Aria Halavati
We prove that if an N-vortex pair nearly minimizes the Yang-Mills-Higgs energy, then it is second order close to a minimizer. First we use new weighted inequalities in two dimensio…
A short proof of Allard's and Brakke's regularity theorems
Guido De Philippis, Carlo Gasparetto, Felix Schulze
We give new short proofs of Allard's regularity theorem for varifolds with bounded first variation and Brakke's regularity theorem for integral Brakke flows with bounded forcing. T…
KPP traveling waves in the half-space
Julien Berestycki, Cole Graham, Yujin H. Kim +1
We study traveling waves of the KPP equation in the half-space with Dirichlet boundary conditions. We show that minimal-speed waves are unique up to translation and rotation but fa…
From energy bounds to dimensional estimates in a branched transport model for type-I superconductors
Guido De Philippis, Michael Goldman, Berardo Ruffini
We consider a branched transport type problem which describes the magnetic flux through type-I superconductors in a regime of very weak applied fields. At the boundary of the sampl…