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On Cauchy problem for fractional parabolic-elliptic Keller-Segel model (Q2675199)

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English	On Cauchy problem for fractional parabolic-elliptic Keller-Segel model	scientific article

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scholarly article

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On Cauchy problem for fractional parabolic-elliptic Keller-Segel model (English)

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Anh Tuan Nguyen

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Nguyen Huy Tuan

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Advances in Nonlinear Analysis

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publication date

21 September 2022

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zbMATH Keywords

Keller-Segel system

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parabolic-elliptic system

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Besov spaces

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Caputo derivative

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Mittag-Leffler functions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/anona-2022-0256

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Decay estimates for evolution equations with classical and fractional time-derivatives

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A parabolic problem with a fractional time derivative

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Existence and asymptotic behaviour for the time‐fractional Keller–Segel model for chemotaxis

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Fourier Analysis and Nonlinear Partial Differential Equations

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Existence and regularity results for terminal value problem for nonlinear fractional wave equations

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Diffusion, attraction and collapse

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Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane

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Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system

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Fractional elliptic equations, Caccioppoli estimates and regularity

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On initial value and terminal value problems for subdiffusive stochastic Rayleigh-Stokes equation

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Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)

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Symmetrization techniques on unbounded domains: Application to a chemotaxis system on \(\mathbb{R}^N\)

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On convergence to equilibria for the Keller-Segel chemotaxis model

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The Rayleigh-Stokes problem for an edge in a generalized Oldroyd-B fluid

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Existence of solutions of the abstract Cauchy problem of fractional order

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A user's guide to PDE models for chemotaxis

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An \(L_q (L_p)\)-theory for diffusion equations with space-time nonlocal operators

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Initiation of slime mold aggregation viewed as an instability

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Cauchy problems for Keller-Segel type time-space fractional diffusion equation

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Global well-posedness of the critical Burgers equation in critical Besov spaces

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Development and applications of a model for cellular response to multiple chemotactic cues

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Homogeneous Besov spaces

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Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion

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On a backward problem for fractional diffusion equation with Riemann‐Liouville derivative

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On a backward problem for two-dimensional time fractional wave equation with discrete random data

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On a fractional Rayleigh–Stokes equation driven by fractional Brownian motion

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Existence and uniqueness for parabolic problems with Caputo time derivative

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Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

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Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model

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Packing measure of the sample paths of fractional Brownian motion

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Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces

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Identifiers

zbMATH Open document ID

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10.1515/anona-2022-0256

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2675199

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