Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model

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Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model

A generalisation of the Lie symmetry method is applied to classify a coupled system of reaction-diffusion equations wherein the nonlinearities involve arbitrary functions in the limit case in which one equation of the pair is quasi-steady but the other is not. A complete Lie symmetry classification,...

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Bibliographic Details
Main Authors:	Cherniha, Roman, Davydovych, Vasyl, King, John R.
Format:	Article
Published:	MDPI 2018
Subjects:	Lie symmetry classification; Exact solution; Nonlinear reaction-diffusion system; Tumour growth model; Moving-boundary problem
Online Access:	https://eprints.nottingham.ac.uk/52221/

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