Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile
arXiv:2402.01625
Abstract
We study a one-dimensional one-phase Stefan problem with a Neumann boundary condition on the fixed part of the boundary. We construct the unique self-similar solution, and show that starting from arbitrary initial data, solution orbits converge to the self-similar solution.
17 pages, 1 figure