Variational principles for multisymplectic second-order classical field theories

被引：3

作者：

Daniel Prieto-Martinez, Pedro ^{[1
]}

Roman-Roy, Narciso ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 4, ES-08034 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2015年 / 12卷 / 08期

关键词：

Second-order classical field theories; variational principles; unified; Lagrangian and Hamiltonian formalisms;

D O I：

10.1142/S0219887815600191

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We state a unified geometrical version of the variational principles for second-order classical field theories. The standard Lagrangian and Hamiltonian variational principles and the corresponding field equations are recovered from this unified framework.

引用

页数：7

共 16 条

[1] A NEW MULTISYMPLECTIC UNIFIED FORMALISM FOR SECOND ORDER CLASSICAL FIELD THEORIES
Daniel Prieto-Martinez, Pedro
Roman-Roy, Narciso
JOURNAL OF GEOMETRIC MECHANICS, 2015, 7 (02): : 203 - 253
[2] Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Roman-Roy, Narciso
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, 5
[3] Variational second-order estimates for nonlinear composites
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[4] Augmented variational principles and relative conservation laws in classical field theory
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[5] HIGHER-ORDER MECHANICS: VARIATIONAL PRINCIPLES AND OTHER TOPICS
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[7] Critical Analysis of the Equations of Statics in the Bending Theories of Composite Plates Obtained on the Basis of Variational Principles of Elasticity Theory 1. General Theories of High Order
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[8] A symmetric fully optimized second-order method for nonlinear homogenization
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ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2018, 98 (02): : 222 - 254
[9] Computing Second-Order Functional Derivatives with Respect to the External Potential
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De Proft, Frank
Ayers, Paul W.
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[10] Multiple periodic solutions for second-order discrete Hamiltonian systems
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