科研之友
微信
新浪微博
Facebook
分享链接
摘要
The model of morphogen transport introduced by Hufnagel et al. consisting of two evolutionary PDEs of reaction diffusion type and three ODEs posed on a rectangular domain (-L, L) x (0, epsilon H) is analysed. We prove that the problem is globally well-posed and that the corresponding solutions converge as epsilon tends to 0 to the unique solution of the one dimensional (i.e. posed on (-L, L)) system, which was analysed in previous paper. Main difficulties in the analysis stem from the presence of a singular source term - a Dirac Delta, combined with no smoothing effect in the ODE part of the system.
- 出版日期2016-1-1
