- Tytuł:
- The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization
- Autorzy:
- Kazhikenova, Saule Sh.
- Powiązania:
- https://bibliotekanauki.pl/articles/1409389.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
Navier-Stockes equations
hydrodynamic
approximations
mathematical models
incompressible melt - Opis:
- The article presents ε-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy-Kovalevsky equations with a small parameter ε. There was developed an algorithm for numerical modelling of the Navier-Stokes equations by the finite difference method.
- Źródło:
-
Archives of Control Sciences; 2021, 31, 2; 307-332
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł