The paper presents problems, methods and results concerned with the stochastic modelling of fatigue damage of materials. First, the physical and engineering origins of the fatigue phenomenon are briefly outlined. After that, the main existing approaches to random fatigue problems and the models prop
A multi-region nonlinear age–size structured fish population model
✍ Scribed by Blaise Faugeras; Olivier Maury
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 228 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1468-1218
No coin nor oath required. For personal study only.
✦ Synopsis
The goal of this paper is to present a generic multi-region nonlinear age-size structured fish population model, and to assess its mathematical well-posedness. An initial-boundary-value problem is formulated. Existence and uniqueness of a positive weak solution is proved. Eventually, a comparison result is derived: the population of all regions decreases as the mortality rate increases in at least one region.
📜 SIMILAR VOLUMES
The large time behavior of numerical solutions for a model describing age-structured population dynamics is investigated. An upwind scheme is considered for the approximation. The optimal rate of convergence of the scheme is demonstrated for the maximum norm and the stability of the method is discus