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Stabilization in the logarithmic Keller-Segel system (Q2412983)

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Language	Label	Description	Also known as
English	Stabilization in the logarithmic Keller-Segel system	scientific article

Statements

scholarly article

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Stabilization in the logarithmic Keller-Segel system (English)

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Michael Winkler

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

6 April 2018

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zbMATH Keywords

homogeneous Neumann boundary conditions

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singular sensitivity

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large time behavior

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exponential rate

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.na.2018.01.002

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An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem

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Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions

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Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents

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The Lin-Ni’s problem for mean convex domains

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On convergence to equilibria for the Keller-Segel chemotaxis model

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Boundedness in a fully parabolic chemotaxis system with singular sensitivity

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Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

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Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity

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Geometric theory of semilinear parabolic equations

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Blow-up in a chemotaxis model without symmetry assumptions

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Boundedness vs. blow-up in a chemotaxis system

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Initiation of slime mold aggregation viewed as an instability

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Traveling bands of chemotactic bacteria: a theoretical analysis

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A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity

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A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data

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Large amplitude stationary solutions to a chemotaxis system

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A unified method for boundedness in fully parabolic chemotaxis systems with signal‐dependent sensitivity

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Steady-state distribution of bacteria chemotactic toward oxygen

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Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)

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Global weak solutions in a chemotaxis system with large singular sensitivity

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A Chemotaxis System with Logistic Source

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

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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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Global boundedness of solutions in a parabolic-parabolic chemotaxis system with singular sensitivity

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Boundedness and global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with nonlinear logistic source

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2018.01.002

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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:2412983

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