A review of results and open problems on mathematical models of motion of viscoelastic media of Jeffreys' type
| Autor: | Vorotnikov, Dmitry A., Zvyagin, Victor G. |
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| Jazyk: | ruština |
| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | D.A. Vorotnikov and V.G. Zvyagin, 2009, Vestnik VSU, Ser. phys.-math. no.2, pp. 30-50 |
| Druh dokumentu: | Working Paper |
| Popis: | The Jeffreys model (also associated with the names of Lethersich and Oldroyd) is one of the crucial conceptions in the theory of viscoelastic fluids. The models of Jeffreys type describe behaviour of bitumens, blood, polymers and their solutions, dough, the earth's crust, concrete, lubricants etc. Study of BVPs corresponding to their statics and dynamics meets a lot of mathematical difficulties, which turn out to be much harder than the ones that are related to the celebrated Navier-Stokes system. In this work, we make an attempt to review the recent results and main unsolved problems for equations of motion for the mediums of Jeffreys' type. Comment: 44 pages, in Russian |
| Databáze: | arXiv |
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