91 citations · 129 across the 3 of their papers we have counts for
3 papers
math.AP2012★ 1 cited
Convergence of the self-dual Ginzburg-Landau gradient flow
Sophia Demoulini
We prove convergence of the gradient flow of the Ginzburg-Landau energy functional on a Riemann surface in the self-dual Bogomolny case, in Coulomb gauge. The proof is direct and m…
math.AP2011★ 91 cited
Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
Sophia Demoulini, David Stuart, Athanasios Tzavaras
For the equations of elastodynamics with polyconvex stored energy, and some related simpler systems, we define a notion of dissipative measure-valued solution and show that such a…
math-ph2009★ 37 cited
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
Sophia Demoulini, David Stuart
We study a nonlinear system of partial differential equations in which a complex field (the Higgs field) evolves according to a nonlinear Schroedinger equation, coupled to an elect…