Dirac-type aggregation with full mass in a chemotaxis model

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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Pattern formation in a model for mountain pine beetle dispersal: linking model predictions to data
Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part
Blowup in infinite time for 2D Smoluchowski-Poisson equation.
Application of an Adams type inequality to a two-chemical substances chemotaxis system
Global well-posedness and blow-up for the 2-D Patlak-Keller-Segel equation
Critical mass for infinite-time aggregation in a chemotaxis model with indirect signal production
Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system
A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system
Analysis of a chemotaxis model with indirect signal absorption
Global bounded and unbounded solutions to a chemotaxis system with indirect signal production
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases
Singularity patterns in a chemotaxis model
Blow-up in a chemotaxis model without symmetry assumptions
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
Blow up of solutions for a Parabolic-Elliptic chemotaxis system with gradient dependent chemotactic coefficient
Refined Description and Stability for Singular Solutions of the 2D Keller‐Segel System
Refined Asymptotic Behavior of Blowup Solutions to a Simplified Chemotaxis System
Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System
Chemotactic collapse in a parabolic system of mathematical biology
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
Chemotactic collapse in a parabolic-elliptic system of mathematical biology
Convergence analysis from the indirect signal production to the direct one

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