Global generalized solutions for a two-species chemotaxis system with tensor-valued sensitivity and logistic source
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Publication:5104589
DOI10.1142/S0218202522500324zbMath1502.35045OpenAlexW4288048175WikidataQ114072926 ScholiaQ114072926MaRDI QIDQ5104589
Publication date: 14 September 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202522500324
Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
- Free energy and self-interacting particles
- 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
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Initiation of slime mold aggregation viewed as an instability
- Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Functional analysis, Sobolev spaces and partial differential equations
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics
- How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
- Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
- Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
- Global existence of bounded solutions for a quasilinear chemotaxis system with logistic source
- A new approach toward stabilization in a two-species chemotaxis model with logistic source
- Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source
- Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
- Boundedness and stabilization in a two-species chemotaxis system with logistic source
- Keller-Segel chemotaxis models: a review
- When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions?
- Global dynamics for an attraction-repulsion chemotaxis model with logistic source
- Facing low regularity in chemotaxis systems
- Global boundedness of solutions to a two-species chemotaxis system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems
- Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
- Boundedness vs. blow-up in a chemotaxis system
- Global generalized solutions for a class of chemotaxis-consumption systems with generalized logistic source
- Boundedness in a two-species chemotaxis system
- Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Chemotaxis, Reaction, Network
- Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source
- GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR IN A THREE-DIMENSIONAL TWO-SPECIES CHEMOTAXIS-STOKES SYSTEM WITH TENSOR-VALUED SENSITIVITY
- Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
- Multiscale Models of Taxis-Driven Patterning in Bacterial Populations
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
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