Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616814 | Journal of Mathematical Analysis and Applications | 2013 | 25 Pages |
Abstract
In this paper, we study a vector conservation law that models the growth and selection of ovarian follicles. This work is motivated by a multiscale mathematical model. A two-dimensional conservation law describes the age and maturity structuration of the follicular cell populations. The densities interact through a coupled hyperbolic system between different follicles and cell phases, which results in a vector conservation law and coupling between boundary conditions. The maturity velocity functions possess both a local and a nonlocal character. We prove the existence and uniqueness of the weak solution to Cauchy problem with bounded initial and boundary data.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Peipei Shang,