Browsing Mathematics, Department of by Subject "Heat equation"
Now showing items 13 of 3

An annihilatingbranching particle model for the heat equation with average temperature zero
(2005)We consider two species of particles performing random walks in a domain in [Real numbers] [superscript] d with reflecting boundary conditions, which annihilate on contact. In addition there is a conservation law so that ... 
A FlemingViat particle representation of Dirichlet Laplacian
(SpringerVerlag GmbH, 200011)We consider a model with a large number N of particles which move according to independent Brownian motions. A particle which leaves a domain D is killed; at the same time, a different particle splits into two particles. ... 
The heat equation in time dependent domains with insulated boundaries
(Academic Press (Elsevier), 200410)The paper studies, among other things, two types of possible singularities of the solution to the heat equation at the boundary of a moving domain. Several explicit results on "heat atoms" and "heat singularities" are given.