Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces

DOI10.3934/DCDSB.2018093zbMath1429.35030OpenAlexW2790462510MaRDI QIDQ1756983

Tong Li, Chao Deng

Publication date: 28 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018093

zbMATH Keywords

global-in-time well-posednesslogarithmic Lebesgue spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (2)

On the fractional doubly parabolic Keller-Segel system modelling chemotaxis ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
• Existence and uniqueness theorem on mild solutions to the Keller-Segel system in the scaling invariant space
• On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces
• Large amplitude stationary solutions to a chemotaxis system
• Nonlinear aspects of chemotaxis
• Traveling waves in a chemotactic model
• Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\)
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• The solvability of some chemotaxis systems
• A chemotaxis model motivated by angiogenesis
• Pattern formation. I: The Keller-Segel model
• Well-posedness of a 3D parabolic-hyperbolic Keller-Segel system in the Sobolev space framework
• Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
• Random walk with persistence and external bias
• Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
• ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
• Shock formation in a chemotaxis model
• The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions
• A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• The Existence and Stability of Spike Patterns in a Chemotaxis Model

This page was built for publication: Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces