New posts in Heat Equation

$\frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2}$ with $u(x,0)=\frac{e^{2x}-1}{e^{2x}+1}$. Then $\lim_{t \to \infty}u(1,t)$ equals

Show that the sum of a function series is bounded

Intuition behind the paradox of instantaneous heat propagation

Questions about the heat equation

Least Energy Path, Contour Following, around Hills toward Goal

Heat Equation + Uniform Convergence in time -> Harmonic Limit

Does $\partial_t u(x,t) - \partial_x u(x,t) = 0$ have a non-trivial solution?

Why this abuse of notation correctly solves the heat equation

Why heat equation is not time-reversible? (Time arrow in mathematics)

PDE : Mixture of Wave and Heat equations