Corners and collapse: some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller-Segel system
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Publication:6052189
DOI10.1016/j.aml.2023.108788zbMath1522.35105arXiv2305.18839OpenAlexW4384831426MaRDI QIDQ6052189
Publication date: 21 September 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.18839
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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- Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part
- Free energy and self-interacting particles
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Initiation of slime mold aggregation viewed as an instability
- Conformal deformations of metric on \({\mathcal S}\) 2
- Hölder continuity of the gradient of solutions of uniformly parabolic equations with conormal boundary conditions
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- 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
- Suppressing chemotactic blow-up through a fast splitting scenario on the plane
- Can fluid interaction influence the critical mass for taxis-driven blow-up in bounded planar domains?
- A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system
- A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller-Segel systems
- Facing low regularity in chemotaxis systems
- Blow-up in a chemotaxis model without symmetry assumptions
- On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
- Global Behaviour of a Reaction-Diffusion System Modelling Chemotaxis
- Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
- The full Keller–Segel model is well-posed on nonsmooth domains
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Moser-Trudinger inequalities without boundary conditions and isoperimetric problems
- 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
- Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source
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