RT info:eu-repo/semantics/article
T1 Symmetry Analysis and Conservation Laws of a Generalization of the Kelvin-Voigt Viscoelasticity Equation
A1 Márquez Lozano, Almudena del Pilar
A1 Bruzón Gallego, María de los Santos
A2 Matemáticas
K1 viscoelasticity
K1 Kelvin-Voigt equation
K1 Lie symmetries
K1 optimal system
K1 group-invariant solutions
K1 conservation laws
K1 multiplier method
AB In this paper, we study a generalization of the well-known Kelvin-Voigt viscoelasticityequation 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 partialdifferential 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.
PB MDPI
SN 2073-8994
YR 2019
FD 2019-07
LK http://hdl.handle.net/10498/21722
UL http://hdl.handle.net/10498/21722
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 17-ene-2021