论文标题
与保形对称的完美流体方程的群体理论方法
The group-theoretic approach to perfect fluid equations with conformal symmetry
论文作者
论文摘要
非线性实现方法是构建谎言组动态实现的便捷工具，该工具仅依赖于相应的谎言代数的结构关系。这项工作的目的是讨论该方法的优势和局限性，在这里，该方法用于构建具有共形对称性的完美流体方程。详细研究了四个病例，其中包括Schrodinger组，L-符合形式的Galilei组，Lifshitz组和相对论的共形组。
The method of nonlinear realizations is a convenient tool for building dynamical realizations of a Lie group, which relies solely upon structure relations of the corresponding Lie algebra. The goal of this work is to discuss advantages and limitations of the method, which is here applied to construct perfect fluid equations with conformal symmetry. Four cases are studied in detail, which include the Schrodinger group, the l-conformal Galilei group, the Lifshitz group, and the relativistic conformal group.
