On the existence of global solutions for the 3D chemorepulsion system

被引：2
|
作者：
Cieslak, Tomasz [1 ]
Fuest, Mario [2 ]
Hajduk, Karol [1 ]
Sierzega, Mikolaj [2 ]
机构：
[1] Inst Math, Polish Acad Sci, Sniadeckich 8, PL-00656 Warsaw, Poland
[2] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2024年 / 43卷 / 1-2期
关键词：
boundedness of solutions; chemotaxis; chemorepulsion; Lyapunov-like functional; Bernis-type inequality; STEADY-STATES; MODEL;
D O I：
10.4171/ZAA/1747
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give sufficient conditions for global -in -time existence of classical solutions for the fully parabolic chemorepulsion system posed on a convex, bounded three-dimensional domain. Our main result establishes global -in -time existence of regular nonnegative solutions provided that V.,/u E L4(0, T; L2(11)). Our method is related to the Bakry-& Eacute;mery calculation and appears to be new in this context.
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页码：49 / 65
页数：17
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