Mathematics – Analysis of PDEs
Scientific paper
2009-11-11
D.A. Vorotnikov and V.G. Zvyagin, 2009, Vestnik VSU, Ser. phys.-math. no.2, pp. 30-50
Mathematics
Analysis of PDEs
44 pages, in Russian
Scientific paper
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.
Vorotnikov Dmitry A.
Zvyagin Victor G.
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