Title :
To nonlinear dynamical processes for some piezo-electric and electrically conductive continuum media
Author :
Vashakmadze-Veronese, Diana ; Vashakmadze, Tamaz
Author_Institution :
Ivane Javakhishvili Tbilisi State Univ., Tbilisi, Georgia
Abstract :
In the first part, there are constructing an union form of three-dimensional (respect to spatial coordinates) nonlinear dynamical systems of partial differential equations (PDEs) which contains as particular cases Navier-Stokes´ equations and system of PDE theory of elasticity and, if on continuum media acts electro-magnetic fields, Maxwell´s dynamical systems too. In the second part, using an union form, there are discovered some nonlinear wave processes for elastic and piezo-electric and electrically conductive anisotropic elastic thin-walled structures.
Keywords :
Navier-Stokes equations; conducting materials; continuum mechanics; elasticity; nonlinear dynamical systems; partial differential equations; piezoelectric materials; Maxwell dynamical systems; Navier-Stoke equations; elasticity; electrically conductive continuum anisotropic elastic thin walled structure; electromagnetic fields; nonlinear wave processes; partial differential equations; piezoelectric conductive continuum anisotropic elastic thin walled structure; three-dimensional nonlinear dynamical systems; Differential equations; Elasticity; Equations; Mathematical model; Media; Perpendicular magnetic anisotropy; Solids;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4244-7790-6
Electronic_ISBN :
978-966-02-5654-5
