3 papers
math.AP2005
On an isoperimetric inequality for a Schrodinger operator depending on the curvature of a loop
Almut Burchard, Lawrence E. Thomas
Let C be a smooth closed curve of length 2 Pi in R^3, and let k(s) be its curvature, regarded as a function of arc length. We associate with this curve the one-dimensional Schrodin…
math-ph2003
Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics
Luc Rey-Bellet, Lawrence E. Thomas
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev s…
math.AP2002
On the Cauchy problem for a dynamical Euler's elastica
Almut Burchard, Lawrence E. Thomas
The dynamics for a thin, closed loop inextensible Euler's elastica moving in three dimensions are considered. The equations of motion for the elastica include a wave equation invol…