Browsing Department of Mathematics by Author "Thomann, Enrique A."

Now showing items 1-4 of 4

Branching random walk and probability problems from physics and biology

Johnson, Torrey (Torrey Allen) (2012-06-07)

This thesis studies connections between disorder type in tree polymers and the branching random walk and presents an application to swarm site-selection. Chapter two extends results on tree polymers in the infinite volu ...
The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

Lee, Hanku (2000-03-13)
Fundamental solution to the heat equation with a discontinuous diffusion coefficient with applications to Skew Brownian Motion and oceanography

Harada, Sharon Julie (2011-06-13)

In this paper, we derive the fundamental solution to the heat equation with a discontinuous diffusion coefficient in the free space, with an absorbing boundary, and with a reflecting boundary. We use the fundamental solu ...
The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Kim, HoeWoon (2010-12-15)

The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied ...