Article ID Journal Published Year Pages File Type
4616814 Journal of Mathematical Analysis and Applications 2013 25 Pages PDF
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
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