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- Title
WEAK SOLVABILITY OF FRACTIONAL VOIGT MODEL OF VISCOELASTICITY.
- Authors
Zvyagin, Victor; Orlov, Vladimir
- Abstract
In the present paper we establish the existence of weak solutions to one fractional Voigt type model of viscoelastic fluid. This model takes into account a memory along the motion trajectories. The investigation is based on the theory of regular Lagrangean flows, approximation of the problem under consideration by a sequence of regularized Navier-Stokes systems and the following passage to the limit.
- Subjects
MATHEMATICAL models; NUMERICAL analysis; DIFFERENTIAL equations; VOIGT reaction; BOUNDARY value problems
- Publication
Discrete & Continuous Dynamical Systems: Series A, 2018, Vol 38, Issue 12, p6327
- ISSN
1078-0947
- Publication type
Article
- DOI
10.3934/dcds.2018270