Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
From MaRDI portal
Publication:2644045
DOI10.1016/j.jmaa.2007.03.014zbMath1140.35006OpenAlexW1964268423MaRDI QIDQ2644045
Toshitaka Nagai, Tetsuya Yamada
Publication date: 27 August 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.014
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)
Related Items (26)
Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation ⋮ Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO DRIFT-DIFFUSION SYSTEM WITH GENERALIZED DISSIPATION ⋮ On the fractional doubly parabolic Keller-Segel system modelling chemotaxis ⋮ Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations ⋮ Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on \(\mathbb{R}^N\) ⋮ Well‐posedness and asymptotic behavior for the fractional Keller–Segel system in critical Besov–Herz‐type spaces ⋮ Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation ⋮ Asymptotic behaviour in a one dimensional model of interacting particles ⋮ Global solution of the chemotaxis attraction-repulsion Cauchy problem with the nonlinear signal production in \(\mathbb{R}^N\) ⋮ Large time behavior of classical solutions to a fractional attraction–repulsion Keller–Segel system in the whole space ⋮ Convergence to diffusion waves for solutions of 1D Keller–Segel model ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation ⋮ Well-posedness for a model derived from an attraction-repulsion chemotaxis system ⋮ Diffusion-dominated asymptotics of solution to chemotaxis model ⋮ Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance ⋮ Large time behavior of the full attraction-repulsion Keller-Segel system in the whole space ⋮ On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis ⋮ Asymptotic expansion of solutions to the drift-diffusion equation with large initial data ⋮ Remarks on the local existence of solutions to the Debye system ⋮ Improvement of convergence rates for a parabolic system of chemotaxis in the whole space ⋮ On the fractional chemotaxis Navier-Stokes system in the critical spaces ⋮ Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion ⋮ Global solutions for the critical Burgers equation in the Besov spaces and the large time behavior ⋮ A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-similar solutions to a parabolic system modeling chemotaxis
- Initiation of slime mold aggregation viewed as an instability
- Nonlinear aspects of chemotaxis
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
- Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- Decay Properties and Asymptotic Profiles of Bounded Solutions to a Parabolic System of Chemotaxis in Rn
This page was built for publication: Large time behavior of bounded solutions to a parabolic system of chemotaxis in the whole space
