Demonstrates global solutions in a parabolic chemorepulsion system, suggesting implications for mathematical modeling.
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 ∇√u ∈ L⁴(0, T; L²(Ω)). Our method is related to the Bakry-Émery calculation and appears to be new in this context.
No takes yet. Share an insight, caveat, or question.
Cieślak et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: