Boundedness in chemotaxis systems with rotational flux terms
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Publication:2953718
DOI10.1002/mana.201500325zbMath1356.35062OpenAlexW2311482164MaRDI QIDQ2953718
Publication date: 5 January 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201500325
PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (18)
Finite-time blow-up and boundedness in a 2D Keller–Segel system with rotation ⋮ Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics ⋮ Boundedness in prey-taxis system with rotational flux terms ⋮ Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption ⋮ Boundedness of classical solutions for a chemotaxis model with rotational flux terms ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Finite-time blow-up in a repulsive chemotaxis-consumption system ⋮ Boundedness and stabilization in a two-species chemotaxis system with signal absorption ⋮ Boundedness and stabilization enforced by mild saturation of taxis in a producer-scrounger model ⋮ Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities ⋮ Boundedness in chemotaxis-Stokes system with rotational flux term ⋮ Boundedness in a three-dimensional chemotaxis-Stokes system with tensor-valued sensitivity ⋮ The logistic chemotaxis system with singular sensitivity and signal absorption in dimension two ⋮ Boundedness and stabilization in the chemotaxis consumption model with signal-dependent motility ⋮ Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food ⋮ Eventual smoothness and stabilization of renormalized radial solutions in a chemotaxis consumption system with bounded chemotactic sensitivity ⋮ Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source ⋮ Small-signal solutions of a two-dimensional doubly degenerate taxis system modeling bacterial motion in nutrient-poor environments
Cites Work
- Global classical solutions of a 3D chemotaxis-Stokes system with rotation
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Initiation of slime mold aggregation viewed as an instability
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global boundedness of solutions to a two-species chemotaxis system
- Boundedness vs. blow-up in a chemotaxis system
- Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling
- Global-in-time bounded weak solutions to a degenerate quasilinear Keller–Segel system with rotation
- Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
- Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
- Global small-data solutions of a two-dimensional chemotaxis system with rotational flux terms
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
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