Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source
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Publication:2074924
DOI10.1016/j.na.2021.112750zbMath1483.35031OpenAlexW4200482437MaRDI QIDQ2074924
Yuzhu Lei, Ling Zhou, Zu Han Liu
Publication date: 11 February 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2021.112750
asymptotic stabilityperiodic boundary conditionslogistic sourcefractional diffusionglobal classical solutionchemotaxis system
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (4)
Large time behavior in a fractional chemotaxis-Navier-Stokes system with competitive kinetics ⋮ Existence and asymptotic stability in a fractional chemotaxis system with competitive kinetics ⋮ Stabilization in a two‐dimensional fractional chemotaxis‐Navier–Stokes system with logistic source ⋮ Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source
Cites Work
- Unnamed Item
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- Global solutions for a supercritical drift-diffusion equation
- 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
- On a drift-diffusion system for semiconductor devices
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- 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
- A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
- Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions
- A maximum principle applied to quasi-geostrophic equations
- Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
- An approximate treatment of gravitational collapse.
- Global existence and asymptotic behavior of classical solutions to a fractional logistic Keller-Segel system
- A pointwise inequality for fractional Laplacians
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher
- Propagation of chaos for large Brownian particle system with Coulomb interaction
- Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Well-posedness of the Cauchy problem for the fractional power dissipative equations
- 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
- On the well-posedness for Keller-Segel system with fractional diffusion
- The fractional Keller–Segel model
- The one-dimensional Keller–Segel model with fractional diffusion of cells
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Well-posedness and dynamics for the fractional Ginzburg-Landau equation
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- 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 Chemotaxis System with Logistic Source
- Two‐dimensional chemotaxis models with fractional diffusion
- Singular integrals and periodic functions
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