44 citations · 145 across the 27 of their papers we have counts for
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math.AP2009
A review of results and open problems on mathematical models of motion of viscoelastic media of Jeffreys' type
Dmitry A. Vorotnikov, Victor G. Zvyagin
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 de…
math.AP2009★ 3 cited
The second boundary value problem for equations of viscoelastic diffusion in polymers
Dmitry A. Vorotnikov
The classical approach to diffusion processes is based on Fick's law that the flux is proportional to the concentration gradient. Various phenomena occurring during propagation of…
math.AP2009★ 2 cited
Anomalous diffusion in polymers: long-time behaviour
Dmitry A. Vorotnikov
We study the Dirichlet boundary value problem for viscoelastic diffusion in polymers. We show that its weak solutions generate a dissipative semiflow. We construct the minimal traj…