Transmission problems with nonlocal boundary conditions and rough dynamic interfaces
Analysis of PDEs
2016-01-20 v1 Dynamical Systems
Abstract
We consider a transmission problem consisting of a semilinear parabolic equation in a general non-smooth setting with emphasis on rough interfaces which bear a fractal-like geometry and nonlinear dynamic (possibly, nonlocal)\ boundary conditions along the interface. We give a unified framework for existence of strong solutions, existence of finite dimensional attractors and blow-up phenomena for solutions under general conditions on the bulk and interfacial nonlinearities with competing behavior at infinity.
Cite
@article{arxiv.1509.03133,
title = {Transmission problems with nonlocal boundary conditions and rough dynamic interfaces},
author = {Ciprian G. Gal and Mahamadi Warma},
journal= {arXiv preprint arXiv:1509.03133},
year = {2016}
}
Comments
29 pages, 1 figure. arXiv admin note: text overlap with arXiv:1503.05744