A family of mass‐critical Keller–Segel systems (Q6134575)

scientific article; zbMATH DE number 7730899

Language	Label	Description	Also known as
English	A family of mass‐critical Keller–Segel systems	scientific article; zbMATH DE number 7730899

Statements

instance of

scholarly article

0 references

title

A family of mass‐critical Keller–Segel systems (English)

0 references

author

Michael Winkler

0 references

published in

Proceedings of the London Mathematical Society

0 references

publication date

22 August 2023

0 references

zbMATH Keywords

chemotaxis

0 references

parabolic Keller-Segel model

0 references

nonlinear diffusion

0 references

sensitivity function

0 references

global-in-time solution

0 references

finite time blowup

0 references

mass-critical behavior

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1112/plms.12425

0 references

cites work

Dynamic theory of quasilinear parabolic systems. III: Global existence

0 references

Finite-time blow-up in a degenerate chemotaxis system with flux limitation

0 references

A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up

0 references

Boundedness of solutions to the critical fully parabolic quasilinear one‐dimensional Keller–Segel system

0 references

Q4225524

0 references

The 8π‐problem for radially symmetric solutions of a chemotaxis model in the plane

0 references

Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions

0 references

Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ<sup>2</sup>

0 references

Q3431715

0 references

Layered solutions with unbounded mass for the Keller-Segel equation

0 references

Semi-linear second-order elliptic equations in \(L^1\)

0 references

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

0 references

Q3592248

0 references

Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system

0 references

Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system

0 references

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

0 references

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

0 references

New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models

0 references

Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity

0 references

Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity

0 references

Asymptotic decay for the solutions of the parabolic-parabolic Keller-Segel chemotaxis system in critical spaces

0 references

Large mass boundary condensation patterns in the stationary Keller-Segel system

0 references

\(L^\sigma\)-measure criteria for boundedness in a quasilinear parabolic-parabolic Keller-Segel system with supercritical sensitivity

0 references

\(L^{\gamma}\)-measure criteria for boundedness in a quasilinear parabolic-elliptic Keller-Segel system with supercritical sensitivity

0 references

Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains

0 references

Elliptic partial differential equations of second order

0 references

A user's guide to PDE models for chemotaxis

0 references

From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

0 references

Blow-up in a chemotaxis model without symmetry assumptions

0 references

Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains

0 references

Initiation of slime mold aggregation viewed as an instability

0 references

On the global existence of solutions to an aggregation model

0 references

Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion

0 references

Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system

0 references

Global bounded and unbounded solutions to a chemotaxis system with indirect signal production

0 references

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

0 references

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

0 references

Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains

0 references

Q4381941

0 references

Q4659860

0 references

Q3412821

0 references

A quasi-linear parabolic system of chemotaxis

0 references

Free energy and self-interacting particles

0 references

Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

0 references

Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production

0 references

Q4163866

0 references

Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with subcritical sensitivity

0 references

Does a ‘volume-filling effect’ always prevent chemotactic collapse?

0 references

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

0 references

Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

0 references

Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity

0 references

Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities

0 references

Volume Filling Effect in Modelling Chemotaxis

0 references

Identifiers

zbMATH Open document ID

1522.35524

0 references

DOI

10.1112/plms.12425

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6134575