Geodesic
Approximate symmetries in viscoelasticity
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 115-124

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In the framework of approximate symmetries, we investigate a perturbed system of partial differential equations for viscoelastic media with nonlinear dissipation. We completely classify the approximate symmetries and prove a theorem on the relation between the symmetries of two related models. In some physical cases, we find approximate solutions using the generator of the group of transformations taken in the first-order approximation.
Keywords: approximate symmetry, viscoelastic medium
Mots-clés : nonlocal transformation. 
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     author = {M. Ruggieri and M. P. Speciale},
     title = {Approximate symmetries in viscoelasticity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {115--124},
     publisher = {mathdoc},
     volume = {189},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_1_a8/}
}
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M. Ruggieri; M. P. Speciale. Approximate symmetries in viscoelasticity. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 115-124. http://geodesic.mathdoc.fr/item/TMF_2016_189_1_a8/