Unique solvability of global classical solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid

Undasyn Utegenovich Abylkairov, Serik Ersultanovich Aitzhanov, Zamira Abdikalikova

2021

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DOI 10.1145/3492547.3492643
Data confidence 70 medium
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Abstract

In this paper, we consider an initial-boundary value problem for the Stokes system of an inhomogeneous fluid. The considered system belongs to the class of equations containing the Euler equations of an ideal fluid. To study the problem, we use the theory and methods developed for the Euler equation. Existence and uniqueness of the classical solution of the initial-boundary value problem for the Stokes system of an inhomogeneous fluid is proved by the method of Gunter-Lichtenstein successive approximations.