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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 1, Pages 115–124
DOI: https://doi.org/10.4213/tmf9080 (Mi tmf9080) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Approximate symmetries in viscoelasticity

M. Ruggieria, M. P. Specialeb

a Faculty of Engineering and Architecture, Kore University of Enna, Enna, Italy
b Department of Mathematics and Computer Science, University of Messina, Messina, Italy
Full-text PDF (440 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9080
Abstract: 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, nonlocal transformation.
Funding agency Grant number
Japan Society for the Promotion of Science
This research was supported by the G.N.F.M. of I.N.d.A.M. (Project “Formazione di pattern, insorgenza di fenomeni oscillatori e soluzioni localizzate in sistemi reazione-diffusione con diffusione non lineare,” 2015) and the Kore University of Enna (Research Project “Metodi per la ricerca di soluzioni esatte e numeriche per equazioni e sistemi di equazioni differenziali alle derivate parziali della fisica matematica” coord. prof. Antonino Valenti).
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 1, Pages 1500–1508
DOI: https://doi.org/10.1134/S0040577916100093
Bibliographic databases:
Language: Russian
Citation: M. Ruggieri, M. P. Speciale, “Approximate symmetries in viscoelasticity”, TMF, 189:1 (2016), 115–124; Theoret. and Math. Phys., 189:1 (2016), 1500–1508
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9080
  • https://www.mathnet.ru/eng/tmf/v189/i1/p115
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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