g -Navier-Stokes方程速度涡量模型的弱解和强解

IF 0.8 4区数学 Q2 MATHEMATICS

Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI:10.55730/1300-0098.3457

ÖZGE KAZAR, MERYEM KAYA

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引用次数: 0

摘要

在这项工作中，我们考虑了$g$-Navier-Stokes方程的速度-涡量公式。该系统是将非线性的旋转公式与涡度方程的$g$ -Navier-Stokes方程所包含的速度-压力系统结合起来构建的。利用周期边界条件证明了该系统弱解和强解的存在唯一性。

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On the weak and strong solutions of the velocity-vorticity model of the $g$-Navier-Stokes equations

In this work, we consider a velocity-vorticity formulation for the $g$-Navier-Stokes equations. The system is constructed by combining the velocity-pressure system which is included by using the rotational formulation of the nonlinearity and the vorticity equation for the $g$ -Navier-Stokes equations. We prove the existence and uniqueness of weak and strong solutions of this system with the periodic boundary conditions.

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来源期刊

Turkish Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

161

审稿时长

6-12 weeks

期刊介绍： The Turkish Journal of Mathematics is published electronically 6 times a year by the Scientific and Technological Research Council of Turkey (TÜBİTAK) and accepts English-language original research manuscripts in the field of mathematics. Contribution is open to researchers of all nationalities.