Global boundedness of solutions to a quasilinear chemotaxis system with nonlocal nonlinear reaction

DOI10.1007/s00245-022-09928-2OpenAlexW4316041439MaRDI QIDQ2682360

Zhong Bo Fang, Xueyan Tao

Publication date: 31 January 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-022-09928-2

zbMATH Keywords

chemotaxisglobal solutionsnonlinear diffusionnonlocal reaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59)

Related Items (2)

Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth ⋮ Blow-up analysis to a quasilinear chemotaxis system with nonlocal logistic effect

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chemotaxis can prevent thresholds on population density
• Blowup and global solutions in a chemotaxis-growth system
• Global dynamics in a fully parabolic chemotaxis system with logistic source
• Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem
• How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
• Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
• Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
• A nonlocal reaction diffusion equation and its relation with Fujita exponent
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
• Infinite-dimensional dynamical systems in mechanics and physics.
• Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
• Chemotaxis model with nonlocal nonlinear reaction in the whole space
• Preventing blow up in a chemotaxis model
• Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system
• Uniform boundedness and global existence of solutions to a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction term
• Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
• Large time behavior of solution to quasilinear chemotaxis system with logistic source
• A refined criterion and lower bounds for the blow-up time in a parabolic-elliptic chemotaxis system with nonlinear diffusion
• The fast signal diffusion limit in Keller-Segel(-fluid) systems
• Boundedness in a quasilinear fully parabolic Keller-Segel system of higher dimension with logistic source
• Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
• Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
• Global solutions to a nonlocal Fisher-KPP type problem
• Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity
• On a quasilinear parabolic-elliptic chemotaxis system with logistic source
• Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
• Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
• Boundedness vs. blow-up in a chemotaxis system
• Finite-time blow-up in a quasilinear system of chemotaxis
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• Does a ‘volume-filling effect’ always prevent chemotactic collapse?
• On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
• On a competitive system under chemotactic effects with non-local terms
• Global existence of solutions for a p‐Laplacian equation with nonlocal Fisher–KPP type reaction terms
• A Chemotaxis System with Logistic Source
• Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
• Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
• Chemotactic collapse in a parabolic-elliptic system of mathematical biology

This page was built for publication: Global boundedness of solutions to a quasilinear chemotaxis system with nonlocal nonlinear reaction