Geodesic
Friedrichs systems equivalent to the systems of wave equations
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 132-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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Description up to equivalence transformations is given for all evolutionary symmetric $t$-hyperbolic Friedrichs systems equivalent to the systems of two- and three-dimensional wave equations. We obtain the evolutionary symmetric $t$-hyperbolic Friedrichs systems that describe shear waves in a three-dimensional isotropic elastic medium both in the presence and absence of mass forces. Studying the group properties of some of these systems, we point out a system equivalent to the Maxwell equations for the electromagnetic field in vacuum that consists of the equations in involution under charge conservation of an evolutionary symmetric $t$-hyperbolic Friedrichs system and the Lorentz condition.
Keywords: Friedrichs system, wave equations, equivalent systems, shear wave in a three-dimensional isotropic elastic medium, Maxwell's equations, involution.
Mots-clés : equivalence transformation 
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Yu. A. Chirkunov. Friedrichs systems equivalent to the systems of wave equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 132-142. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a13/

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