On the Weak Solvability of High-order Viscoelastic Fluid Dynamics Model.

Autor: Zvyagin, V. G., Zvyagin, A. V., Orlov, V. P., Turbin, M. V.
Zdroj: Lobachevskii Journal of Mathematics; Apr2024, Vol. 45 Issue 4, p1524-1543, 20p
Abstrakt: A model of a viscoelastic fluid with a high-order rheological relation and a memory along the trajectories of the velocity field is under consideration. The weak solvability to the corresponding initial-boundary value problem is established. The investigation is based on the approximation of the problem under consideration by a sequence of regularized problems, and the following passage to the limit. The theory of regular Lagrangian flows is used to study trajectories of a non-smooth velocity fields. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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