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.
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页数：16
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