Click here to flash read.
arXiv:2404.13592v1 Announce Type: new
Abstract: We study single-interface solutions to a free boundary problem that couples bilinear bulk diffusion to the Stefan condition and a hysteretic flow rule for phase boundaries. We introduce a time-discrete approximation scheme and establish its convergence in the limit of vanishing step size. The main difficulty in our proof are strong microscopic oscillations which are produced by a propagating phase interface and need to be controlled on the macroscopic scale. We also present numerical simulations and discuss the link to the viscous regularization of ill-posed diffusion equations.
Click here to read this post out
ID: 818202; Unique Viewers: 0
Unique Voters: 0
Total Votes: 0
Votes:
Latest Change: April 23, 2024, 7:33 a.m.
Changes:
Dictionaries:
Words:
Spaces:
Views: 10
CC:
No creative common's license
No creative common's license
Comments: