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13.2. Symmetry groups
13.3. Group-invariant solutions
References to Chapter 13
Chapter 14. Lie Algebra and Optimal System of One-Dimensional Subalgebras
of the Axially-Symmetric Equations
14.1. Problem formulation and basic equations
14.2. Optimal system Θ
1
of one-dimensional subalgebras of the Lie algebra
14.3. Group-invariant solutions corresponding to the one-dimensional
subalgebras
References to Chapter 14
Chapter 15. Symmetry Groups and Lie Algebra of Three-Dimensional Partial
Differential Equations of Perfect Plasticity
15.1. Problem formulation and basic equations
15.2. Symmetry groups of three-dimensional equations
15.3. Optimal system of one-dimensional subalgebras of a natural
finite-dimensional Lie subalgebra
15.4. An extension of a natural finite-dimensional Lie subalgebra
References to Chapter 15
Chapter 16. A Natural Finite-Dimensional Lie Subalgebra of Three-Dimensional
Partial Differential Equations
16.1. Problem formulation and basic equations
16.2. Construction of a natural finite-dimensional Lie subalgebra
16.3. Optimal system of one-dimensional subalgebras
References to Chapter 16
Chapter 17. Symmetry Groups of Partial Differential Equations of a Plane Strain
State
17.1. Problem formulation and basic equations
17.2. Symmetry groups of plane strain equations of perfect plasticity
17.3. Group-invariant solutions of plane strain equations
17.4. Optimal system Θ
1
of one-dimensional subalgebras of the Lie algebra
References to Chapter 17
Three Discussions on Mechanics
Пространственная задача математической теории пластичности, 3-е издание
