Properties of blow-up solutions and their initial data for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
DOI10.1016/j.jmaa.2018.08.013zbMath1401.35156OpenAlexW2887903598MaRDI QIDQ1791524
Publication date: 10 October 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.08.013
chemotaxisblow-up behaviorquasilinear degenerate Keller-Segel systems\(\epsilon\)-regularity theorem
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) 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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- Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion
- Blow-up behavior of solutions to a degenerate parabolic-parabolic Keller-Segel system
- Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.
- Asymptotic profile of blow-up solutions of Keller-Segel systems in super-critical cases.
- Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data
- Initiation of slime mold aggregation viewed as an instability
- \(\varepsilon \)-regularity theorem and its application to the blow-up solutions of Keller-Segel systems in higher dimensions
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Finite-time blow-up for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
- Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$
- Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Partial regularity and blow-up asymptotics of weak solutions to degenerate parabolic systems of porous medium type
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Blow-up in a chemotaxis model without symmetry assumptions
- The Parabolic-Parabolic Keller-Segel System with Critical Diffusion as a Gradient Flow in ℝd,d ≥ 3
- BREZIS–MERLE INEQUALITIES AND APPLICATION TO THE GLOBAL EXISTENCE OF THE CAUCHY PROBLEM OF THE KELLER–SEGEL SYSTEM
- Finite-time blow-up in a quasilinear system of chemotaxis
- On $\varepsilon$-Regularity Theorem and Asymptotic Behaviors of Solutions for Keller–Segel Systems
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Chemotactic collapse in a parabolic system of mathematical biology
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