کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616814 | 1339359 | 2013 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cauchy problem for multiscale conservation laws: Application to structured cell populations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Cauchy problem for multiscale conservation laws: Application to structured cell populations Cauchy problem for multiscale conservation laws: Application to structured cell populations](/preview/png/4616814.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 2, 15 May 2013, Pages 896–920
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 2, 15 May 2013, Pages 896–920
نویسندگان
Peipei Shang,