Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system (Q514356)

scientific article; zbMATH DE number 6690568

Language	Label	Description	Also known as
English	Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system	scientific article; zbMATH DE number 6690568

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instance of

scholarly article

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title

Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system (English)

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Mathematische Annalen

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publication date

1 March 2017

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zbMATH Keywords

nonlinear diffusion

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type II blow-up

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singularities induced by mass concentration

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00208-016-1400-7

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cites work

Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis

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Finite mass self-similar blowing-up solutions of a chemotaxis system with non-linear diffusion

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Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions

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Finite-time blowup in a supercritical quasilinear parabolic-parabolic Keller-Segel system in dimension 2

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Elliptic partial differential equations of second order

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Singularity patterns in a chemotaxis model

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Q4398321

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Boundedness vs. blow-up in a chemotaxis system

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Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

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Possibility of the existence of blow‐up solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type

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Initiation of slime mold aggregation viewed as an instability

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Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces $L^ p$. (Evolution equations associated to contraction semigroups in $L^ p$ spaces)

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Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion

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Q4354424

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Type II blowup in a doubly parabolic Keller-Segel system in two dimensions

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Determination of blowup type in the parabolic-parabolic Keller-Segel system

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Q5446138

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Nondegeneracy of blow-up points for the parabolic Keller-Segel system

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Chemotactic collapse in a parabolic system of mathematical biology

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On the stability of critical chemotactic aggregation

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Type II blowup of solutions to a simplified Keller-Segel system in two dimensional domains

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Q3059464

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On $\varepsilon$-Regularity Theorem and Asymptotic Behaviors of Solutions for Keller–Segel Systems

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$\varepsilon $-regularity theorem and its application to the blow-up solutions of Keller-Segel systems in higher dimensions

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Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term

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Degenerate parabolic equation with critical exponent derived from the kinetic theory. III: $\varepsilon $-regularity.

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Q5687543

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

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Identifiers

zbMATH Open document ID

1378.35045

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Mathematics Subject Classification ID

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10.1007/S00208-016-1400-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:514356