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

DOI10.1002/MANA.201800175zbMath1414.35106arXiv1712.07876OpenAlexW3098897370WikidataQ128895385 ScholiaQ128895385MaRDI QIDQ5378432

Kentarou Fujie, Takasi Senba, Bartosz Bieganowski, Tomasz Cieślak

Publication date: 29 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07876

zbMATH Keywords

chemotaxisboundedness of solutionsLyapunov-like functional

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (4)

Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity ⋮ Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems ⋮ A family of mass‐critical Keller–Segel systems ⋮ Energy-Like Functional in a Quasilinear Parabolic Chemotaxis System

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