We consider a semilinear integrodifferential system in non-normal form. Such a system is a generalization of the one that arises in the phase-field theory with memory. We prove an abstract existence and uniqueness theorem and a continuous dependence result for the direct problem. Reformulating the d
An identification problem for a conserved phase-field model with memory
✍ Scribed by A. Lorenzi
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 220 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.614
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper we consider a system of two integro‐differential evolution equations coming from a conservative phase‐field model in which the principal part of the elliptic operators, involved in the two evolution equations, have different orders. The inverse problem consists in finding
## Communicated by B. Brosowski A phase-field model based on the Coleman-Gurtin heat flux law is considered. The resulting system of non-linear parabolic equations, associated with a set of initial and Neumann boundary conditions, is studied. Existence, uniqueness, and regularity results are prove
## Abstract We consider a conserved phase‐field system on a tri‐dimensional bounded domain. The heat conduction is characterized by memory effects depending on the past history of the (relative) temperature ϑ, which is represented through a convolution integral whose relaxation kernel __k__ is a su
## Abstract We consider a conserved phase‐field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The latter dependence is a law of Gurtin–Pipkin type, so that the eq