This paper is concerned with a variational inequality with a time-dependent constraint, which arises from some macroscopic models of type-II superconductivity, as well as its approximate problems associated with generalized p-Laplace operators. We prove the existence and uniqueness of solutions for each problem by establishing an abstract theory for doubly nonlinear evolution equations governed by two time-dependent subdifferential operators in reflexive Banach spaces.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2005 Nov 30|
- Bean's critical-state model
- Doubly nonlinear evolution equation
- Subdifferential operator
ASJC Scopus subject areas
- Applied Mathematics