Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613094 | Journal of Differential Equations | 2008 | 15 Pages |
Abstract
In this paper we study a degenerate parabolic systemUtâÎ(|U|mâ1U)=0,where U(x,t)=(u1,u2,â¦,ul) is a vector function and m>1. The system can be derived from a time-dependent p-curl system which describes Bean's critical-state model in the superconductivity theory. It is shown that the degenerate system has a unique global solution. Moreover, it is shown that the weak solution is continuous and the modulus of continuity depends only on known data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hong-Ming Yin,