Existence, uniqueness and \(L^\infty\)-bound for weak solutions of a time fractional Keller-Segel system
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Publication:2113005
DOI10.1016/j.chaos.2022.112185zbMath1504.35620OpenAlexW4281615700MaRDI QIDQ2113005
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112185
weak solutionsglobal existenceCaputo derivativetime fractional Keller-Segel equationsuniqueness \(L^\infty\)-bound
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)
Cites Work
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- Blowup and global solutions in a chemotaxis-growth system
- Analysis of the Keller-Segel model with a fractional derivative without singular kernel
- Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition
- Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Fractional variational iteration method and its application
- Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system
- Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Parabolic elliptic type Keller-Segel system on the whole space case
- Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)
- A new analysis for the Keller-Segel model of fractional order
- A priori estimates for solutions of boundary value problems for fractional-order equations
- Blow-up criterion via scaling invariant quantities with effect on coefficient growth in Keller-Segel system.
- Global existence and asymptotic behavior for a time fractional reaction-diffusion system
- Exponential attractor for a chemotaxis-growth system of equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
- Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
- Dynamics in a parabolic-elliptic chemotaxis system with growth source and nonlinear secretion
- Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models
- Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation
- Blow-up and global solutions for a class of time fractional nonlinear reaction-diffusion equation with weakly spatial source
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- The solution of fractional order epidemic model by implicit Adams methods
- Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
- On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher
- Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system
- Supercritical degenerate parabolic-parabolic Keller-Segel system: existence criterion given by the best constant in Sobolev's inequality
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- The one-dimensional chemotaxis model: global existence and asymptotic profile
- Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Nonnegative solutions to time fractional Keller–Segel system
- A Chemotaxis System with Logistic Source
- Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
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