Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system
DOI10.1007/s00033-015-0557-3zbMath1330.35201OpenAlexW912919118MaRDI QIDQ903231
Publication date: 5 January 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-015-0557-3
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (26)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- A coupled chemotaxis-fluid model: global existence
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Weak solutions for a bioconvection model related to Bacillus subtilis
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Boundedness in a parabolic-parabolic chemotaxis system with nonlinear diffusion
- Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Bacterial swimming and oxygen transport near contact lines
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
- Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
- A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
- COUPLED CHEMOTAXIS FLUID MODEL
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
This page was built for publication: Global existence and boundedness in a higher-dimensional quasilinear chemotaxis system