Optimal System of Subalgebras for the Reduction of the Navier-Stokes Equations

• 作者: Sopita Khamrod
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Optimal System INVARIANT SOLUTIONS PARTIALLY INVARIANT SOLUTIONS NAVIER-STOKES Equations
• 年，卷（期）: 2013,（1）
• 页码范围: 124-134
• 页数: 11页
• 分类号: O1

摘要

The purpose of this paper is to find the admitted Lie group of the reduction of the Navier-Stokes equationswhere using the basic Lie symmetry method. This equation is constructed from the Navier-Stokes equations rising to a partially invariant solutions of the Navier-Stokes equations. Two-dimensional optimal system is determined for symmetry algebras obtained through classification of their subalgebras. Some invariant solutions are also found.