非线性指数可变的非局部双曲斯托克斯系统

Q3 Mathematics

Matematychni Studii Pub Date : 2023-12-18 DOI:10.30970/ms.60.2.173-179

O. Buhrii, O. Kholyavka, T. M. Bokalo

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引用次数: 0

摘要

本文研究了带有积分项的二阶非线性双曲斯托克斯系统问题。在有界域中找到了该问题弱解唯一性的充分条件。系统的非线性项包含一个非线性可变指数，它是空间变量的函数。该问题在普通 Sobolev 空间和广义 Lebesgue 空间中进行研究，这在这种情况下是非常自然的。

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Nonlocal hyperbolic Stokes system with variable exponent of nonlinearity

In this paper, we study the problem for a nonlinear hyperbolic Stokes system of the second order with an integral term.Sufficient conditions for the uniqueness of the weak solution of this problem are found in a bounded domain. The nonlinear term of the system contains a variable exponent of nonlinearity, which is a function of spatial variables.The problem is studied in ordinary Sobolev spaces and generalized Lebesgue spaces, which is quite natural in this case.

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来源期刊

Matematychni Studii Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal is devoted to research in all fields of mathematics.