| Autor: |
Zvyagin, V. G., Orlov, V. P., Turbin, M. V. |
| Zdroj: |
Russian Mathematics; Jul2022, Vol. 66 Issue 7, p70-75, 6p |
| Abstrakt: |
In this paper we consider the solvability in the weak sense of the initial-boundary value problem for the high-order Oldroyd model. For the considered model through the Laplace transform, from the rheological relation, the stress tensor is expressed. After its substitution into the motion equations, the initial-boundary value problem is obtained for an integro-differential equation with a memory along trajectories of the velocity field. After that, through the approximating–topological approach to the study of hydrodynamic problems, the existence of a weak solution is proved. In the proof of the assertions, properties of regular Lagrangian flows are essentially used. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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