Results 21 to 30 of about 5,943,505 (321)

Onsager's variational principle in active soft matter. [PDF]

open access: yesSoft Matter, 2020
Onsagers variational principle (OVP) was originally proposed by Lars Onsager in 1931 [L. Onsager, Phys. Rev., 1931, 37, 405]. This fundamental principle provides a very powerful tool for formulating thermodynamically consistent models.
Haiqin Wang, T. Qian, Xinpeng Xu
semanticscholar   +1 more source

Around the variational principle for metric mean dimension [PDF]

open access: yesStudia Mathematica, 2020
We study variational principles for metric mean dimension. First we prove that in the variational principle of Lindenstrauss and Tsukamoto it suffices to take supremum over ergodic measures.
Yonatan Gutman, Adam Śpiewak
semanticscholar   +1 more source

Variational principle and periodic solution of the Kundu–Mukherjee–Naskar equation

open access: yesResults in Physics, 2020
Kundu–Mukherjee–Naskar equation admits many attractive solitary wave solutions as discussed by Biswas et al. (Results in Physics, Volume16, 2020, 102850).
Ji-Huan He
semanticscholar   +1 more source

Double variational principle for mean dimension [PDF]

open access: yesGeometric and Functional Analysis, 2019
We develop a variational principle between mean dimension theory and rate distortion theory. We consider a minimax problem about the rate distortion dimension with respect to two variables (metrics and measures).
E. Lindenstrauss, M. Tsukamoto
semanticscholar   +1 more source

Variational approach for resolving the flow of generalized Newtonian fluids in circular pipes and plane slits [PDF]

open access: yes, 2015
In this paper, we use a generic and general variational method to obtain solutions to the flow of generalized Newtonian fluids through circular pipes and plane slits.
Sochi, Taha
core   +4 more sources

A generalized form of Ekeland’s variational principle

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
doaj   +1 more source

Gaussian time-dependent variational principle for the finite-temperature anharmonic lattice dynamics

open access: yesPhysical Review Research, 2021
The anharmonic lattice is a representative example of an interacting, bosonic, many-body system. The self-consistent harmonic approximation has proven versatile for the study of the equilibrium properties of anharmonic lattices.
Jae-Mo Lihm, Cheol-Hwan Park
doaj   +1 more source

New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle

open access: yes, 2020
Any physical laws are scale-dependent, the same phenomenon might lead to debating theories if observed using different scales. The two-scale thermodynamics observes the same phenomenon using two different scales, one scale is generally used in the ...
Ji-Huan He, Q. Ain
semanticscholar   +1 more source

Variational Principle in Langevin Processes [PDF]

open access: yes, 2013
The recent work, Nemoto and Sasa [Phys. Rev. E, 83: 030105(R) (2011)], has shown that large deviations of the current characterizing a nonequilibrium system are obtained by observing the typical current for a modified system specified by a variational ...
Ohzeki, Masayuki, Sughiyama, Yuki
core   +3 more sources

Turbulent flows in channels and pipes

open access: yesVietnam Journal of Mechanics, 2007
A variational principle for channel and pipe flows of incompressible viscous fluid is proposed. For low Reynolds numbers this variational principle reduces to the principle of minimum dissipation. For high Reynolds numbers it enables one to calculate the
Khanh Le Chau
doaj   +1 more source

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