4 citations · 5 across the 3 of their papers we have counts for
3 papers
Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation
Marcel Clerc, Juan Dávila, Michał Kowalczyk +2
We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show that depending on th…
A hybrid variational principle for the Keller-Segel system in
Adrien Blanchet, José A. Carrillo, David Kinderlehrer +3
We construct weak global in time solutions to the classical Keller-Segel system cell movement by chemotaxis in two dimensions when the total mass is below the well-known critical v…
Interface Foliation Near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature
Manuel del Pino, Michal Kowalczyk, Juncheng Wei +1
Let $(\MM ,{\tilde g})$ be an -dimensional smooth compact Riemannian manifold. We consider the singularly perturbed Allen-Cahn equation $$ ε^2Δ_{ {\tilde g}} {u}\,+\, (1 - {u}^2…