The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 20-594
Full Name: Maria Luz Gandarias
Position: Professor
Age: ON
Sex: Female
Address: Dpto Matematicas Facultad de Ciencias
Country: SPAIN
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E-mail address: marialuz.gandarias@uca.es
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Title of the Paper: A subclass of quasi self adjoint lubrication equations: conservations laws
Authors as they appear in the Paper: M.L. Gandarias,M.S. Bruzon
Email addresses of all the authors: marialuz.gandarias@uca.es,m.bruzon@uca.es
Number of paper pages: 8
Abstract: In \cite{ibra1} a general theorem on conservation laws for arbitrary differential equation has been proved. This new theorem is based on the concept of adjoint equations for non-linear equations. The notion of self-adjoint equations and quasi self adjoint has been also extended to non-linear equations. In this paper we consider a generalized fourth-order nonlinear partial differential equation which arises in modelling the dynamics of thin liquid films. We use the free software MAXIMA program symmgrp2009.max derived by W. Heremann to calculate the determining equations for the classical symmetries of the modified lubrication equation. We determine the subclasses of this equations which are self-adjoint and quasi-self adjoint and we find conservation laws for some of these partial differential equations without classical Lagrangians.
Keywords: Symmetries, Partial Dfferential Equation, Exact solutions, Self-adjointness,Conservation laws
EXTENSION of the file: .pdf
Special (Invited) Session: Symmetries and conservation laws for a subclass of lubrication equations by using free software
Organizer of the Session: 650-509
How Did you learn about congress: Senthilvelan Murugaian <senv0000@gmail.com, Jesús Cuevas E-mail: jcuevas@us.es; Name: Mariano Torrisi E-mail: torrisi@dipmat.unict.it ; Name: Rita Tracina E-mail: tracina@dmi.unict.it
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