Boundedness of solutions to the critical fully parabolic quasilinear one‐dimensional Keller–Segel system-Reference-Cited by-同舟云学术

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

Published:2018-12-03 Issue:4 Volume:292 Page:724-732
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Math. Nachr.

Author:

Bieganowski Bartosz¹,Cieślak Tomasz²,Fujie Kentarou³,Senba Takasi⁴

Affiliation:

1. Faculty of Mathematics and Computer ScienceNicolaus Copernicus Universityul. Chopina 12/18 87‐100 Toruń Poland

2. Institute of MathematicsPolish Academy of SciencesŚniadeckich 8 00‐656 Warsaw Poland

3. Department of MathematicsTokyo University of ScienceTokyo 162‐8601 Japan

4. Faculty of ScienceFukuoka UniversityFukuoka 814‐0180 Japan

Funder

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.201800175

Reference12 articles.

1. Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel system

2. Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions

3. No critical nonlinear diffusion in 1D quasilinear fully parabolic chemotaxis system

4. T.CieślakandK.Fujie Global existence in the 1D quasilinear parabolic‐elliptic chemotaxis system with critical nonlinearity arXiV:1705.08541.

5. Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system

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1. A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects;Journal of Evolution Equations;2024-03-15

2. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems;Journal of Differential Equations;2023-11

3. Slow Grow-up in a Quasilinear Keller–Segel System;Journal of Dynamics and Differential Equations;2022-05-16

4. A family of mass‐critical Keller–Segel systems;Proceedings of the London Mathematical Society;2022-02

5. Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System;Geometric Properties for Parabolic and Elliptic PDE's;2021

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