Applications of Group-Theoretical Methods in Hydrodynamics
Applications of Group-Theoretical Methods in Hydrodynamics
复制标题
群论方法在流体动力学中的应用
DOI：
10.1007/978-94-017-0745-9
复制
发表时间：
1998
影响因子：
3.7
通讯作者：
A. Rodionov
中科院分区：
文献类型：
--
作者：
V. Andreev;O. Kaptsov;V. V. Pukhnachov;A. Rodionov
前言。序言。1.平面和旋转对称条件下均匀或非均匀无粘性流体运动方程的群论分类。2.存在平面和旋转对称时非定常欧拉方程的精确解。3.非线性扩散方程与不变流形。4.定义方程的方法。5.理想流体中的定常涡结构。6.粘性导热液体运动方程的群论性质。7.粘性液体动力学方程的精确解。参考书目。主题索引。
Foreword. Preface. 1. Group-Theoretic Classification of the Equations of Motion of a Homogeneous or Inhomogeneous Inviscid Fluid in the Presence of Planar and Rotational Symmetry. 2. Exact Solutions to the Nonstationary Euler Equations in the Presence of Planar and Rotational Symmetry. 3. Nonlinear Diffusion Equations and Invariant Manifolds. 4. The Method of Defining Equations. 5. Stationary Vortex Structures in an Ideal Fluid. 6. Group-Theoretic Properties of the Equations of Motion for a Viscous Heat Conducting Liquid. 7. Exact Solutions to the Equations of Dynamics for a Viscous Liquid. Bibliography. Subject Index.