Open AccessGlobal existence in a chemotaxis system with singular sensitivity and signal production
Author(s) -
Guoqiang Ren,
Heping Ma
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021045
Subject(s) - chemotaxis , sensitivity (control systems) , bounded function , signal (programming language) , production (economics) , domain (mathematical analysis) , work (physics) , mathematics , mathematical analysis , computer science , physics , economics , engineering , chemistry , electronic engineering , receptor , microeconomics , thermodynamics , programming language , biochemistry
In this work we consider the chemotaxis system with singular sensitivity and signal production in a two dimensional bounded domain. We present the global existence of weak solutions under appropriate regularity assumptions on the initial data. Our results generalize some well-known results in the literature.