A Differential Geometric Foundation for Hamiltonian Continuum Mechanics
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概要
著者
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Mimura Fumitake
Department Of Mathematics Kyushu Institute Of Technology
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Mimura Fumitake
Department Of Mathematics Faculty Of Engineering Kyushu Institute Of Technology
関連論文
- A RELAXATION OF THE HOMOGENEITIES IMPOSED ON THE RELATING FUNCTIONS IN THE EXTREMAL PROBLEM FOR THE DERIVATION OF CONSERVED QUANTITIES
- NEW DERIVATION OF CONSERVED QUANTITIES FOR HIGHER ORDER DIFFERENTIAL SYSTEM
- Conserved Quantities in the Open-loop Nash Strategies
- A COMPOSITE MAXIMIZING PROBLEM FOR THE OPEN-LOOP NASH STRATEGIES
- CONSERVATION LAWS AND OPTIMAL PATHS IN A GROWTH MODEL WITH UTILITY POLYNOMIAL
- Conservation Laws and Optimal Paths in External Three-Sector Growth Model
- NEW DERIVATION OF CONSERVATION LAWS FOR MAXIMIZING PROBLEM UNDER CONSTRAINTS
- NEW DERIVATION OF CONSERVATION LAWS IN ONE AND TWO SECTOR GROWTH MODELS
- NEW DERIVATION OF CONSERVATION LAWS AND ITS APPLICATION TO MORE GENERAL NEOCLASSICAL OPTIMAL GROWTH MODELS
- NEW DERIVATION OF CONSERVATION LAWS FOR OPTIMAL ECONOMIC GROWTHS
- CONSERVATION LAWS IN A MODEL FOR CAPITAL ACCUMULATION WITH MANY EXHAUSTIBLE RESOURCES
- AN EQUIVALENT CLASS OF UTILITY FUNCTIONS IN A VON NEUMANN GROWTH MODEL
- Poisson Lie Algebra Structures Associated with Three-Dimensional Lie Algebras
- Symmetries of Generating Defferential Form in Continuum Mechanics
- Conservation Laws in Nonconservative Linear Elastodynamics
- Alternative Approach to the Inverse Problem of Lagrangian Dynamics in the Multiple Variational Principle
- Construction of Generalized Poisson Algebras
- Alternative Approach to the Generalized Poisson Algebras
- Generalized Contact Transformations
- Conservation Laws Derived From Equivalent Lagrangian Densities in Continuum Mechanics
- A New Conservation Law for a System of Second-Order Differential Equations
- Conservation Laws of One-Dimensional Nonconservative Motions
- LIE ALGEBRA STRUCTURES ON A MANIFOLD WITH A CONSTANT RANK CLOSED 2-FORM
- Structure of Generalized Poisson Algebras
- Dynamical Symmetries Ⅵ
- AN EXPLICIT DETERMINATION OF THE 1-FORM ASSOCIATED WITH NONDEGENERATE 2-FORM ON 4-DIMENSIONAL DIFFERENTIABLE MANIFOLD
- Dynamical Symmetries Ⅱ
- Contraction of Lie Algebras
- Contraction of Lie Algebra of the Motion Group of Three Dimensional Euclidean Space
- A COMPLETE CLASS OF NONSINGULAR 2-FORMS ON 4-DIMENSIONAL DIFFERENTIABLE MANIFOLD
- Generalized Gauge Groups
- A METHOD FOR DERIVING NEW CONSERVATION LAWS OF A SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
- Generalized Clifford Groups
- Structure of Contracted Lie Algebras
- LIE ALGEBRA STRUCTURES ON A MANIFOLD WITH A COUPLE OF DIFFERENTIAL FORMS
- A Determination of Motions in the Central Force Problem Through Conserved Quantities
- A Geometric Derivation of New Conservation Laws
- A Method for the Derivation of New Conservation Laws in Economic Growth Models
- Conservation Laws Derived From Equivalent Lagrangians and Hamiltonians in Particle Dynamics
- A Differential Geometric Foundation for Hamiltonian Continuum Mechanics
- A Method for Deriving New Conservation Laws
- Conservation Laws in a Behavior of a Complete Monopolist Ⅱ
- A Differential Geometric Foundation for Hamiltonian Continuum Mechanics Ⅱ
- Generalized Formalism of Mechanics
- Current Vector Fields in Classical Field Theories
- Equivalent Lagrangian Densities in Continuum Mechanics Associated with Dynamical Symmetries