کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844342 908584 2008 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation for a free boundary problem modeling the growth of multi-layer tumors
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcation for a free boundary problem modeling the growth of multi-layer tumors
چکیده انگلیسی

In this paper we study bifurcations for a free boundary problem modeling the growth of multi-layer tumors under the action of inhibitors. An important feature of this problem is that the surface tension effect of the free boundary is taken into account. By reducing this problem into an abstract bifurcation equation in a Banach space, overcoming some technical difficulties and finally using the Crandall–Rabinowitz bifurcation theorem, we prove that this problem has infinitely many branches of bifurcation solutions bifurcating from the flat solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 7, 1 April 2008, Pages 2128–2145
نویسندگان
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