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Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion

https://doi.org/10.1137/110853972
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1146openalex-snapshot
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A doubly critical degenerate parabolic problem
inferredcites →https://doi.org/10.1007/3-7643-7385-7_16openalex-snapshot
A Chemotaxis Model with Threshold Density and Degenerate Diffusion
inferredcites →https://doi.org/10.1007/978-0-387-49319-0openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-3-663-11336-2_1openalex-snapshot
Nonhomogeneous Linear and Quasilinear Elliptic and Parabolic Boundary Value Problems
inferredcites →https://doi.org/10.1007/bf02476407openalex-snapshot
Random walk with persistence and external bias
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On bounded and unbounded global solutions of a supercritical semilinear heat equation
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A user’s guide to PDE models for chemotaxis
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An application of the invariance principle to reaction-diffusion equations
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Initiation of slime mold aggregation viewed as an instability
inferredcites →https://doi.org/10.1016/j.crma.2009.01.016openalex-snapshot
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski–Poisson system
inferredcites →https://doi.org/10.1016/j.jde.2004.10.022openalex-snapshot
Boundedness vs. blow-up in a chemotaxis system
inferredcites →https://doi.org/10.1016/j.jde.2006.03.003openalex-snapshot
Global existence and decay properties for a degenerate Keller–Segel model with a power factor in drift term
inferredcites →https://doi.org/10.1016/j.jde.2011.02.012openalex-snapshot
Global existence of weak solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type
inferredcites →https://doi.org/10.1016/j.jde.2011.08.019openalex-snapshot
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity
inferredcites →https://doi.org/10.1016/j.jmaa.2008.01.005openalex-snapshot
On the global existence of solutions to an aggregation model
inferredcites →https://doi.org/10.1016/j.jmaa.2009.08.012openalex-snapshot
Prevention of blow-up by fast diffusion in chemotaxis
inferredcites →https://doi.org/10.1016/j.matpur.2006.04.002openalex-snapshot
Volume effects in the Keller–Segel model: energy estimates preventing blow-up
inferredcites →https://doi.org/10.1016/j.na.2009.07.045openalex-snapshot
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
inferredcites →https://doi.org/10.1016/j.na.2010.02.047openalex-snapshot
Model of chemotaxis with threshold density and singular diffusion
inferredcites →https://doi.org/10.1051/mmnp/20105106openalex-snapshot
Volume Filling Effect in Modelling Chemotaxis
inferredcites →https://doi.org/10.1051/mmnp/20105311openalex-snapshot
On Chemotaxis Models with Cell Population Interactions
inferredcites →https://doi.org/10.1063/1.2766864openalex-snapshot
Classical solutions and pattern formation for a volume filling chemotaxis model
inferredcites →https://doi.org/10.1088/0951-7715/21/5/009openalex-snapshot
Finite-time blow-up in a quasilinear system of chemotaxis
inferredcites →https://doi.org/10.1088/0951-7715/24/12/001openalex-snapshot
Singularity formation in chemotaxis systems with volume-filling effect
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1046835-6openalex-snapshot
On explosions of solutions to a system of partial differential equations modelling chemotaxis
inferredcites →https://doi.org/10.1103/physreve.78.061904openalex-snapshot
Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact
inferredcites →https://doi.org/10.1137/080722229openalex-snapshot
Grow-Up Rate and Refined Asymptotics for a Two-Dimensional Patlak–Keller–Segel Model in a Disk
inferredcites →https://doi.org/10.1142/9789811247460_0005openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.12775/tmna.2007.015openalex-snapshot
Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
inferredcites →https://doi.org/10.2307/2153966openalex-snapshot
On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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