Continuing the heat transfer series, in this video we take a look at conduction and the heat equation. Fourier's law is used to calculate the rate at which heat is transferred through an object due to ...

The Annals of Probability, Vol. 43, No. 6 (November 2015), pp. 3006-3051 (46 pages) We study the nonlinear stochastic heat equation in the spatial domain ℝ, driven by space-time white noise. A central ...

Fourier's well-known heat equation, introduced in 1822, describes how temperature changes in space and time when heat flows through a material. In general, this formulation works well to describe heat ...

The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...