Abstract
In this paper we introduce an obstacle thermistor system. The existence of weak solutions to the steady-state systems and capacity solutions to the time dependent systems are obtained by a penalized method under reasonable assumptions for the initial and boundary data. At the same time, we prove that there exists a uniform absorbing set for nonnegative initial data in L2(Ω). Finally for smooth initial data a global attractor to the system is obtained by a series of Campanato space arguments.
Original language | English |
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Pages (from-to) | 757-780 |
Number of pages | 24 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 8 |
Issue number | 3 |
Publication status | Published - 1 Jan 2002 |
Externally published | Yes |
Keywords
- Capacity solutions
- Global attractors
- Obstacle thermistor equations
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics