Optimal systems of Lie subalgebras for a two-phase mass flow

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• 关键词：Lie symmetry ; Lie algebra ; Optimal system ; Two-phase mass flow ; Debris flow
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：88
• 期：Complete
• 页码：109-121
• 全文大小：893 K
• 卷排序：88

文摘

Lie symmetry method is applied to a system of nonlinear PDEs describing two-phase mass flows. Optimal systems of Lie subalgebras are constructed. Similarity forms are constructed using optimal systems of Lie subalgebras. Solutions are presented for symmetry reduced systems. Solutions describe interesting observable phenomena of two phase mass flow.