GENERALIZED GLOBAL SUPERSOLUTIONS WITH MASS CONTROL FOR SYSTEMS WITH TAXIS

被引：9

作者：

Zhigun, Anna ^{[1
]}

机构：

[1] Queens Univ Belfast, Sch Math & Phys, Univ Rd, Belfast BT7 1NN, Antrim, North Ireland

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 03期

关键词：

chemotaxis; generalized supersolution; global existence; measure-valued solutions; KELLER-SEGEL MODEL; POINT DYNAMICS; SINGULAR LIMIT;

D O I：

10.1137/18M1217826

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of generalized global supersolutions with a control upon the total mass is established for a wide family of parabolic-parabolic chemotaxis systems and general integrable initial data in any space dimension. It is verified that as long as a supersolution of this sort remains smooth, it coincides with the classical solution. At the same time, the proposed construction provides solvability beyond a blow-up time. The considered class of systems includes the basic form of the Keller-Segel model as well as the case of a chemorepellent.

引用

页码：2425 / 2443

页数：19

共 20 条

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[2]

[Anonymous], 1995, Functional Analysis - Theory and Applications

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