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

Autor: Cieślak, Tomasz, Fuest, Mario, Hajduk, Karol, Sierżęga, Mikołaj
Předmět:
Zdroj: Journal of Analysis & Its Applications / Zeitschrift für Analysis & ihre Anwendungen; 2024, Vol. 43 Issue 1/2, p49-65, 17p
Abstrakt: 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 tha... Our method is related to the Bakry-Émery calculation and appears to be new in this context. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index