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Symmetry Analysis and Conservation Laws of a Generalization of the Kelvin-Voigt Viscoelasticity Equation

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URI: http://hdl.handle.net/10498/21722

DOI: 10.3390/sym11070840

ISSN: 2073-8994

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Author/s
Márquez Lozano, Almudena del PilarAuthority UCA; Bruzón Gallego, María de los SantosAuthority UCA
Date
2019-07
Department
Matemáticas
Source
Symmetry 2019, 11(7), 840
Abstract
In this paper, we study a generalization of the well-known Kelvin-Voigt viscoelasticity equation describing the mechanical behaviour of viscoelasticity. We perform a Lie symmetry analysis. Hence, we obtain the Lie point symmetries of the equation, allowing us to transform the partial differential equation into an ordinary differential equation by using the symmetry reductions. Furthermore, we determine the conservation laws of this equation by applying the multiplier method.
Subjects
viscoelasticity; Kelvin-Voigt equation; Lie symmetries; optimal system; group-invariant solutions; conservation laws; multiplier method
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This work is under a Creative Commons License Atribución 4.0 Internacional

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