The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework (Q2048599)

scientific article; zbMATH DE number 7379619

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English	The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework	scientific article; zbMATH DE number 7379619

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instance of

scholarly article

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title

The Keller-Segel system of parabolic-parabolic type in homogeneous Besov spaces framework (English)

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author

Taiki Takeuchi

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published in

Journal of Differential Equations

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publication date

9 August 2021

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zbMATH Keywords

Keller-Segel system

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maximal Lorentz regularity

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homogeneous Besov spaces

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scaling invariant

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jde.2021.07.018

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cites work

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Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane

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Blowup of solutions to generalized Keller-Segel model

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Large global-in-time solutions to a nonlocal model of chemotaxis

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Two‐dimensional chemotaxis models with fractional diffusion

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The parabolic-parabolic Keller-Segel model in $\mathbb R^2$

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A generalization of a theorem by Kato on Navier-Stokes equations

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Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

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Solutions for semilinear parabolic equations in $L^ p$ and regularity of weak solutions of the Navier-Stokes system

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Navier-stokes flow in r<sup>3</sup>with measures as initial vorticity and morrey spaces

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Mathematical Analysis of the Navier-Stokes Equations

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Strong $L^ p$-solutions of the Navier-Stokes equation in $R^ m$, with applications to weak solutions

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Well-posedness for the Navier-Stokes equations

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NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO

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Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations

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Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces

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The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions

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Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces

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Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

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Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

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Global existence for the Cauchy problem of the parabolic-parabolic Keller-Segel system on the plane

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Q5607484

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Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

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Q4169289

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Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity

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

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Global solutions in a fully parabolic chemotaxis system with singular sensitivity

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Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

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Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

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How strong singularities can be regularized by logistic degradation in the Keller-Segel system?

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Instantaneous regularization of distributions from $(C^0)^\star \times L^2$ in the one-dimensional parabolic Keller-Segel system

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A new result for global existence and boundedness of solutions to a parabolic-parabolic Keller-Segel system with logistic source

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Identifiers

zbMATH Open document ID

1470.35102

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Mathematics Subject Classification ID

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10.1016/J.JDE.2021.07.018

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Sitelinks

Mathematics(1 entry)

mardi Publication:2048599