Results 31 to 40 of about 289,841 (186)

Variational approach to the construction of discrete mathematical model of the pendulum motion with vibrating suspension with friction [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2022
The main purpose of this work is, first, a construction of the indirect Hamilton’s variational principle for the problem of motion of a pendulum with a vibration suspension with friction, oscillating along a straight line making a small angle with ...
Savchin, Vladimir Mikhailovich, Trinh, Phuoc Toan   +1 more
doaj   +1 more source

Triangulation Method for Approximate Solving of Variational Problems in Nonlinear Elasticity

Известия Иркутского государственного университета: Серия "Математика", 2023
A variational problem for the minimum of the stored energy functional is considered in the framework of the nonlinear theory of elasticity, taking into account admissible deformations.
V. A. Klyachin, V. V. Kuzmin, E. V. Khizhnyakova   +2 more
doaj   +1 more source

Differential geometry, Palatini gravity and reduction [PDF]

, 2013
The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle $
Baez J., Bryant R. L., Cartan Ã. J., Dacorogna B., Dacorogna B., Dewitt-Morette C., García P. L., Gotay M. J., Griffiths P., Hsu L., Husemoller D., Kobayashi S., Moseley C. G., Nakahara M., S. Capriotti, Spivak M., Thirring W., Wald R. M.   +17 more
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Stability of λ-Harmonic Maps

Mathematics, 2018
In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are studied. Then, some properties of this kind of harmonic maps are presented and some examples are given.
Zahra Pirbodaghi, Morteza Mirmohammad Rezaii, Seyed Mehdi Kazemi Torbaghan   +2 more
doaj   +1 more source

Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator [PDF]

, 1995
For the scalar Wick-Cutkosky model in the particle representation we perform a similar variational calculation for the 2-point function as was done by Feynman for the polaron problem.
A. W. Schreiber, B. D. Serot, B. D. Serot, C. Alexandrou, C. Itzykson, G. Baym, I. K. Affleck, J. D. Bjorken, J. Iliopoulos, K. Mano, R. P. Feynman, R. Rosenfelder, R. Rosenfelder, T. Ericson   +13 more
core   +3 more sources

A Morse inequality for a fourth order elliptic equation on a bounded domain

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This article deals with the existence of multiple solutions of a fourth order elliptic equation with a critical nonlinearity on a bounded domain of $\mathbb{R}^n, n\geq 5$.
Khadijah Sharaf, Hichem Hajaiej
doaj   +1 more source

An alternative view on the Bateman-Luke variational principle [PDF]

, 2019
A new derivation of the Bernoulli equation for water waves in three-dimensional rotating and translating coordinate systems is given. An alternative view on the Bateman-Luke variational principle is presented.
Ardakani, Hamid Alemi
core   +2 more sources

A Geometric Variational Approach to Bayesian Inference [PDF]

, 2019
We propose a novel Riemannian geometric framework for variational inference in Bayesian models based on the nonparametric Fisher-Rao metric on the manifold of probability density functions.
Abhijoy Saha, Barber D., Bauer M., Bhattacharyya A, Bishop C. M, Broderick T., Chen T., Ghahramani Z., Hernández-Lobato J., Hoffman M., Hoffman M. D., Jaakkola T., Karthik Bharath, Kass R. E., Kingma D. P., Kucukelbir A., Lang S, Li Y., Minka T. P, Rao C. R, Rezende D., Rényi A, Saul L. K., Sebastian Kurtek, Sigillito V. G., Srivastava A., Tan L. S, Wang C., Yeung D.   +28 more
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Subelliptic variational problems [PDF]

Bulletin de la Société mathématique de France, 1990
Using the direct methods and the Moser's process, we prove the existence and \(C^{\mu}\) regularity of stationary points for the degenerate elliptic variational problem \(I(u)=\int_{\Omega}F(x,u,Xu)dx\) where \(X=(X_ 1,...,X_ m)\) is a system of real smooth vector fields which satisfy the Hörmander's condition. The assumptions imposed on F(x,u,\(\xi)\)
openaire   +2 more sources

Variational approach to transport in quantum dots

, 2011
We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads.
A. C. Hewson, G. L. Sewell, Nicola Lanatà   +2 more
core   +1 more source