In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions.
Heat kernel
>
In the mathematical study of heat conduction and diffusion, a heat kernel is the fundamental solution to the heat equation on a specified domain with appropriate boundary conditions. Wikipedia
People also ask
What is the fundamental heat kernel?
What is the kernel in thermodynamics?
What is the heat kernel of a graph?
What is the heat kernel of the sphere?
Before we define the heat kernel on a compact manifold, we construct the explicit formulas for some model spaces such as. Euclidian space and hyperbolic space.
Our strategy to understanding this is to employ the heat kernel, which is a way of understanding the connection between (ii) and (iii). In Section 1, we discuss ...
heat kernel is as any early time approximation to heat flow problems in an arbitrary finite domain Ω near to interior points x ∈ Ω where the initial ...
After a short survey of some of the reasons that make the heat kernel an important object of study, we review a number of basic heat kernel estimates. We then ...
The heat kernel expansion is a very convenient tool for studying one-loop diver- gences, anomalies and various asymptotics of the effective action.
In mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric ...
Sep 6, 2003 · The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective ...
In this paper, we consider a notion of pagerank that is based on the (discrete) heat kernel and can be expressed as an exponential sum of random walks. The heat ...