کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838109 908355 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model
چکیده انگلیسی

In the present paper, we propose a modified tumor invasion model which was originally proposed in Chaplain and Anderson (2003) [1]. And we show the local existence and uniqueness of solutions to approximate systems of the 1D modified tumor invasion model. Especially, we introduce a new function and show that our system is equivalent to the nonlinear second-order PDE, which should be reformulated by the new function. Roughly speaking, our system can be rewritten into only one second-order PDE and this fact is quite essential to show the local existence of solutions to the approximate systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 5, October 2010, Pages 3555–3566
نویسندگان
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