Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics
DOI10.1080/00036811.2022.2063847zbMath1523.35045OpenAlexW4223999134MaRDI QIDQ6079797
Yuzhu Lei, Zu Han Liu, Ling Zhou, Unnamed Author
Publication date: 29 September 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2022.2063847
asymptotic stabilityfractional diffusionglobal classical solutionchemotaxis systemcompetitive kinetics
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Unnamed Item
- Global solutions for a supercritical drift-diffusion equation
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Global solutions for a hyperbolic-parabolic system of chemotaxis
- Well-posedness for the Keller-Segel equation with fractional Laplacian and the theory of propagation of chaos
- Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis
- A user's guide to PDE models for chemotaxis
- Geometric theory of semilinear parabolic equations
- 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
- Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation
- Blowup in higher dimensional two species chemotactic systems
- Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source
- Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
- An approximate treatment of gravitational collapse.
- On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher
- Propagation of chaos for large Brownian particle system with Coulomb interaction
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- An aggregation equation with a nonlocal flux
- Blow-up in a chemotaxis model without symmetry assumptions
- On a generalized doubly parabolic Keller–Segel system in one spatial dimension
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Nonlinear Diffusion with Fractional Laplacian Operators
- Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions
- Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- The fractional Keller–Segel model
- The one-dimensional Keller–Segel model with fractional diffusion of cells
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Limiting Behavior for Competing Species
- GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A FRACTIONAL CHEMOTAXIS SYSTEM ON THE WEAKLY COMPETITIVE CASE
- Decay estimates for the classical solution of Keller–Segel system with fractional Laplacian in higher dimensions
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A pointwise estimate for fractionary derivatives with applications to partial differential equations
- Two‐dimensional chemotaxis models with fractional diffusion
- Singular integrals and periodic functions
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