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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).
Massimo Tessarotto +1 more
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Variational principles for stochastic fluid dynamics [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 Darryl D Holm
exaly +2 more sources
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
doaj +1 more source
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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$${\mathcal {A}}$$-Variational Principles
Milan Journal of Mathematics, 2023 AbstractThough the $${\mathcal {A}}$$ A -quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical $${\text {curl}}$$ curl -case. Our aim is to propose such a family of
Luís Bandeira, Pablo Pedregal
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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
doaj +1 more source
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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The uncertainty principle: Variations on a theme [PDF]
Bulletin of the American Mathematical Society, 2021 We show how a number of well-known uncertainty principles for the Fourier transform, such as the Heisenberg uncertainty principle, the Donoho–Stark uncertainty principle, and Meshulam’s nonabelian uncertainty principle, have little to do with the structure of the Fourier transform itself.
Avi Wigderson, Yuval Wigderson
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Theory of variational quantum simulation [PDF]
Quantum, 2019 The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and ...
Xiao Yuan +4 more
doaj +1 more source
Applied Sciences, 2022 Columnar inclusion is a versatile and cost-effective technique for improving weak soils. Currently, most approaches are based on the “equal strain” assumption to calculate the deformation of soft ground reinforced by columnar inclusions. In this study, a
Zan Zhou +3 more
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