Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system

DOI10.1016/j.na.2018.06.012zbMath1483.35045OpenAlexW2830558277WikidataQ129565459 ScholiaQ129565459MaRDI QIDQ1791726

Evangelos A. Latos, Shen Bian, Li Chen

Publication date: 11 October 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.06.012

zbMATH Keywords

global existencechemotaxis modelnonlocal reactionFisher-KPP model

Mathematics Subject Classification ID

Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Global boundedness and asymptotic behavior in an attraction-repulsion chemotaxis system with nonlocal terms ⋮ Critical mass capacity for two-dimensional Keller–Segel model with nonlocal reaction terms ⋮ Global boundedness of solutions to a quasilinear chemotaxis system with nonlocal nonlinear reaction ⋮ Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth ⋮ On a mathematical model for cancer invasion with repellent pH-taxis and nonlocal intraspecific interaction ⋮ Boundedness of solutions to a chemotaxis-haptotaxis model with nonlocal terms ⋮ Blow-up solutions of a chemotaxis model with nonlocal effects ⋮ Blow-up analysis to a quasilinear chemotaxis system with nonlocal logistic effect

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a parabolic-elliptic system with chemotaxis and logistic type growth
• Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition
• Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem
• Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation
• A nonlocal reaction diffusion equation and its relation with Fujita exponent
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Infinite-dimensional dynamical systems in mechanics and physics.
• Elliptic partial differential equations of second order
• Semilinear parabolic equations with prescribed energy
• On a quasilinear parabolic-elliptic chemotaxis system with logistic source
• Boundedness vs. blow-up in a chemotaxis system
• Singularity patterns in a chemotaxis model
• Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• On a competitive system under chemotactic effects with non-local terms
• Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources
• A Chemotaxis System with Logistic Source
• Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source
• Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
• Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source

This page was built for publication: Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system