Статья

A BOUNDARY VALUE PROBLEM FOR ONE OVERDETERMINED SYSTEM ARISING IN TWO–VELOCITY HYDRODYNAMICS

Х. Х. ИмомназаровИ. К. ИскандаровС.Б. КуйлиевСамаркандский государственный университет, Университетский бульвар, 15, Самарканд 140104, УзбекистанМ.В. Урев

Журнал «Математические заметки СВФУ»journal2022ru

ABI

Аннотация

In the half-plane R2 , we consider a stationary system of two-velocity hydrodynamics with one pressure and homogeneous divergent and boundary conditions for two velocities. The system is overdetermined. The solution to this system is reduced to a consistent solution of the two boundary value problems: the Stokes problem for one velocity and pressure and the overdetermined system for a diﬀerent velocity. For an appropriate choice of function spaces, the existence and uniqueness of the generalized solution with a corresponding stability estimate is proven.

Темы

Navier-Stokes equation solutions Advanced Mathematical Modeling in Engineering Differential Equations and Numerical Methods

Идентификаторы

DOI: 10.25587/svfu.2022.17.23.002

Цитирования и источники

Цитирований: 0Использованных источников: 10

Показатели — AkademScholar · Скоро