Exact solutions of Burgers equation with moving boundary

被引：0

作者：

Petropoulou, Eugenia N. ^{[1
]}

Ferdows, Mohammad ^{[2
]}

Tzirtzilakis, Efstratios E. ^{[3
]}

机构：

[1] Univ Patras, Dept Civil Engn, Geotech Engn Lab, Patras 26500, Greece

[2] Univ Dhaka, Dept Appl Math, Res Grp Fluid Flow Modeling & Simulat, Dhaka 1000, Bangladesh

[3] Univ Peloponnese, Dept Mech Engn, Fluid Mech & Turbomachinery Lab, Patras 26334, Greece

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2024年 / 65卷 / 03期

关键词：

DISCRETE SYMMETRIES; SEMILINE SOLUTIONS; NUMERICAL-SOLUTION; FLUX;

D O I：

10.1063/5.0165161

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, new symmetry reductions and similarity solutions for Burgers equation with moving boundary are obtained by means of Lie's method of infinitesimal transformation groups, for a linearly moving boundary as well as a parabolically moving boundary. By using discrete symmetries, new analytical solutions for the problem under consideration are presented, for two cases of the moving boundary: one moving with constant velocity and another one rapidly oscillating.

引用

页数：16

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