We examine a heat problem in 1D. Assume that a rod with given temperature distribution u_0(x) is cooled to temperature 0 on the exteriors at 0 and pi. Assume that u(x,t) for the Temperature at point x ...

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 ...

We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light c tends to ∞ for any initial condition u₀ ≥ 0 in L¹ (ℝN ...