The logistic chemotaxis system with singular sensitivity and signal absorption in dimension two
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Publication:2286669
DOI10.1016/j.nonrwa.2019.06.001zbMath1439.35075OpenAlexW2949800171WikidataQ127637596 ScholiaQ127637596MaRDI QIDQ2286669
Publication date: 22 January 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.06.001
Asymptotic behavior of solutions to PDEs (35B40) Dynamical systems in biology (37N25) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (8)
Global solutions in a chemotaxis consumption model with singular sensitivity ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities ⋮ Boundedness to a quasilinear chemotaxis-consumption system with singular sensitivity in dimension one ⋮ Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source ⋮ Global existence and boundedness to a two-species chemotaxis-competition model with singular sensitivity ⋮ On a fully parabolic singular chemotaxis-(growth) system with indirect signal production or consumption ⋮ Global existence in a chemotaxis system with singular sensitivity and signal production
Cites Work
- Unnamed Item
- Unnamed Item
- Global large-data generalized solutions in a two-dimensional chemotaxis-Stokes system with singular sensitivity
- Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
- 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
- Global weak solutions in a chemotaxis system with large singular sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Exponential attractor for a chemotaxis-growth system of equations
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source
- Generalised supersolutions with mass control for the Keller-Segel system with logarithmic sensitivity
- Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
- Global classical solution to a chemotaxis consumption model with singular sensitivity
- Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption
- Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
- Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity
- Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global boundedness to a chemotaxis system with singular sensitivity and logistic source
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Chemotaxis and growth system with singular sensitivity function
- Stabilization in a chemotaxis model for tumor invasion
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity
- Boundedness in chemotaxis systems with rotational flux terms
- NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms
- A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
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