Associate Professor Mathematics and Statistics
 
Category: <span>Mathematics</span>

Introduction to the Harmonic Measure

Harmonic measure Prelude : Reaction-Diffusion-Convection processes The general reaction-diffusion-convection Partial Differential equation in $\mathbb{R}^n$ is of the form $$ u_t = \textrm{div}(K\textrm{grad } u)-\textrm{div}(\mu V)+f$$ where $u = u(x,t)$, $(x,t)\in \mathbb{R}^n\times [0,\infty)$, $K\ge0$ and $\mu$ are in general functions of $u$, $t$, and $x$ and $V$ is a vector field …