A \((1+2)\)-dimensional simplified Keller-Segel model: Lie symmetry and exact solutions. II

DOI10.3390/sym9010013zbMath1412.35018OpenAlexW4214848306MaRDI QIDQ2415033

Maksym Didovych, Roman M. Cherniha

Publication date: 20 May 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym9010013

zbMATH Keywords

exact solutionCauchy problemKeller-Segel modelLie symmetrynonlinear boundary-value problemalgebra of invariance

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of Lie groups to the sciences; explicit representations (22E70) Cell movement (chemotaxis, etc.) (92C17) Symmetries, invariants, etc. in context of PDEs (35B06) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Symmetry reductions of a (2 + 1)‐dimensional Keller–Segel model ⋮ Group methods applied to a reaction-diffusion system generalizing \textit{Proteus mirabilis} models ⋮ Conservation laws, symmetry reductions, and exact solutions of some Keller-Segel models

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