The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization

• Autorzy: Kazhikenova Saule Sh.

Identyfikatory

DOI

10.24425/acs.2021.137420

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Navier-Stockes equations; hydrodynamic; approximations; mathematical models; incompressible melt

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 2
• Strony: 307--332
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wzory

Twórcy

autor

Kazhikenova Saule Sh.

• Department of Higher Mathematics, Karaganda Technical University, Kazakhstan

• https://orcid.org/0000-0002-6937-1577

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).