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Unconstrained Lagrangian Variational Principles for the Einstein Field Equations [PDF]
Entropy, 2023 This paper deals with the problem of establishing a systematic theoretical formulation of variational principles for the continuum gravitational field dynamics of classical General Relativity (GR).
Claudio Cremaschini, Massimo Tessarotto
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Variational principles and nonequilibrium thermodynamics. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Variational principles play a fundamental role in deriving the evolution equations of physics. They work well in the case of non-dissipative evolution, but for dissipative systems, the variational principles are not unique and not constructive.
Ván P, Kovács R.
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A-Variational Principles [PDF]
Milan Journal of Mathematics, 2023 Though the A-quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical curl-case. Our aim is to propose such a family of problems in the
Pedregal, Pablo, Bandeira, Luís
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Variational principles of micromagnetics revisited [PDF]
SIAM Journal on Mathematical Analysis, 2020 We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution to the energy, which is intrinsically nonlocal. Under minimal assumptions,
Muratov, Cyrill B. +11 more
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Variational principles and variational—iterative principles for a class of problems
Journal of Mathematical Analysis and Applications, 1981 Complementary variational principles are developed for linear equations in a function space and a variational-iterative scheme, based on these principles, is introduced for non-linear ...
Burrows, B.L, Perks, A.J
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Variational principles, variational identities, and supervariational principles for wavefunctions
Journal of Mathematical Physics, 1974 We develop variational principles and variational identities for bound state and continuum wavefunctions in a general context, paying particular attention to the proper choice of defining equations and boundary conditions which will lead to unique and ...
A. R. P. Rau +7 more
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Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Journal of Applied and Computational Mechanics, 2020 Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao +4 more
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The Principle of Covariance and the Hamiltonian Formulation of General Relativity
Entropy, 2021 The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed.
Massimo Tessarotto, Claudio Cremaschini
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Variational Principles for Two Compound Nonlinear Equations with Variable Coefficients [PDF]
Journal of Applied and Computational Mechanics, 2021 It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems.
Xiao-Qun Cao +4 more
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Variational Principles in Teleparallel Gravity Theories
Universe, 2021 We study the variational principle and derivation of the field equations for different classes of teleparallel gravity theories, using both their metric-affine and covariant tetrad formulations.
Manuel Hohmann
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