A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer [PDF]
Entropy, 2018 We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior.
François Gay-Balmaz, Hiroaki Yoshimura
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Entropy and Variational Formulation of Relativistic Fluid Dynamics [PDF]
EntropyIn this work, the earlier variational analysis of classical non-barotropic flows is extended to the special relativistic non-barotropic case. Specifically, we present a new Eulerian variational formulation for relativistic non-barotropic flows, based on ...
Asher Yahalom
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Addressing the curse of dimensionality in stochastic dynamics: a Wiener path integral variational formulation with free boundaries [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020 Ioannis Petromichelakis +1 more
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A General Purpose Variational Formulation for Boundary Value Problems of Orders Greater than Two [PDF]
Journal of Applied and Computational Mechanics, 2021 We develop a new general purpose variational formulation, particularly suitable for solving boundary value problems of orders greater than two. The functional related to this variational formulation requires only Η1 regularity in order to be well-defined.
Xuefeng Li
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Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
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Variational Derivation of Truncated Timoshenko-Ehrenfest Beam Theory [PDF]
Journal of Applied and Computational Mechanics, 2022 The beam theory allowing for rotary inertia and shear deformation and without the fourth order derivative with respect to time as well as without the slope inertia, as was developed by Elishakoff through the dynamic equilibrium consideration, is derived ...
Maria De Rosa +2 more
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Variational formulation of resolvent analysis [PDF]
Physical Review Fluids, 2022 The conceptual picture underlying resolvent analysis(RA) is that the nonlinear term in the Navier-Stokes(NS) equations provides an intrinsic forcing to the linear dynamics, a description inspired by control theory. The inverse of the linear operator, defined as the resolvent, is interpreted as a transfer function between the forcing and the velocity ...
Benedikt Barthel +2 more
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Variational Estimation Methods for Sturm–Liouville Problems
Mathematics, 2022 In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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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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Unconstrained Lagrangian Variational Principles for the Einstein Field Equations
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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