کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899590 | 1631548 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global existence and boundedness in a chemotaxis-haptotaxis system with signal-dependent sensitivity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper deals with the chemotaxis-haptotaxis system with signal-dependent sensitivity{ut=Îuâââ
(Ï(v)uâv)âξââ
(uâw)+μu(1âuâw),xâΩ,t>0,vt=Îvâv+u,xâΩ,t>0,wt=âvw,xâΩ,t>0 under homogeneous Neumann boundary conditions and initial conditions, where ΩâRn(nâ¥3) is a bounded domain with smooth boundary, ξ,μ>0 are constants and Ï is a function satisfying some conditions. In the case that Ï is a constant it is known that the above system possesses a global classical solution under some conditions (Cao [4], Tao [10], Tao and Winkler [11]); however, in the case that Ï is a function, the above system has not been studied. The purpose of this paper is to establish global existence and boundedness in the above system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 464, Issue 1, 1 August 2018, Pages 354-369
Journal: Journal of Mathematical Analysis and Applications - Volume 464, Issue 1, 1 August 2018, Pages 354-369
نویسندگان
Masaaki Mizukami, Hirohiko Otsuka, Tomomi Yokota,