ON ANALYTICAL SOLUTIONS OF THE CONFORMABLE TIME-FRACTIONAL NAVIER-STOKES EQUATION

被引：1

作者：

Cheng, Xiaoyu ^{[1
]}

Wang, Lizhen ^{[1
]}

Shen, Shoufeng ^{[2
]}

机构：

[1] Northwest Univ, Ctr Nonlinear Studies, Sch Math, Xian 710127, Peoples R China

[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2022年 / 89卷 / 03期

基金：

中国国家自然科学基金;

关键词：

conformable time-fractional Navier-Stokes equation; Lie symmetry analysis; q-ho-motopy analysis method; separation of variables method; fractional Laplace and finite Hankel transforms; PARTIAL-DIFFERENTIAL-EQUATIONS; LIE SYMMETRY ANALYSIS; BURGERS;

D O I：

10.1016/S0034-4877(22)00037-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the analytical solutions of conformable time-fractional Navier- Stokes equation (CTFNSE) in cylindrical coordinates. The solutions are constructed applying Lie symmetry analysis, separation of variables method, q-homotopy analysis method (q-HAM) and the fractional Laplace and finite Hankel transforms, respectively. In addition, based on the above symmetries, the conservation laws of CTFNSE are derived using new Noether theorem. The profiles of some exact solutions are presented for the purpose of visualization.

引用

页码：335 / 358

页数：24

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