کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774026 | 1413540 | 2017 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global boundedness in a quasilinear chemotaxis system with general density-signal governed sensitivity
ترجمه فارسی عنوان
محدودیت جهانی در یک سیستم تقسیم بندی شیمیایی با سیگنال کلی حساسیت حاکم است
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper we study the global boundedness of solutions to the quasilinear parabolic chemotaxis system: ut=ââ
(D(u)âuâS(u)âÏ(v)), 0=Îvâv+u, subject to homogeneous Neumann boundary conditions and the initial data u0 in a bounded and smooth domain ΩâRn (nâ¥2), where the diffusivity D(u) is supposed to satisfy D(u)â¥a0(u+1)âα with a0>0 and αâR, while the density-signal governed sensitivity fulfills 0â¤S(u)â¤b0(u+1)β and 0<Ïâ²(v)â¤Ïvk for b0,Ï>0 and β,kâR. It is shown that the solution is globally bounded if α+β<(1â2n)k+2n with nâ¥3 and k<1, or α+β<1 for kâ¥1. This implies that the large k benefits the global boundedness of solutions due to the weaker chemotactic migration of the signal-dependent sensitivity at high signal concentrations. Moreover, when α+β arrives at the critical value, we establish the global boundedness of solutions for the coefficient Ï properly small. It should be emphasized that the smallness of Ï under k>1 is positively related to the total cellular mass â«Î©u0dx, which is attributed to the stronger singularity of Ï(v) at v=0 for k>1 and the fact that v can be estimated from below by a multiple of â«Î©u0dx. In addition, distinctive phenomena concerning this model are observed by comparison with the known results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 5, 5 September 2017, Pages 2851-2873
Journal: Journal of Differential Equations - Volume 263, Issue 5, 5 September 2017, Pages 2851-2873
نویسندگان
Wei Wang, Mengyao Ding, Yan Li,