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   Articles with "variational approach" as a keyword



A Variational Approach to Solitary Gravity–Capillary Interfacial Waves with Infinite Depth

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recommendations! Published in 2019 at "Journal of Nonlinear Science"

DOI: 10.1007/s00332-019-09553-4

Abstract: We present an existence and stability theory for gravity–capillary solitary waves on the top surface of and interface between two perfect fluids of different densities, the lower one being of infinite depth. Exploiting a classical… read more here.

Keywords: solitary gravity; infinite depth; gravity capillary; variational approach ... See more keywords

Variational Approach for Learning Markov Processes from Time Series Data

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recommendations! Published in 2020 at "Journal of Nonlinear Science"

DOI: 10.1007/s00332-019-09567-y

Abstract: Inference, prediction, and control of complex dynamical systems from time series is important in many areas, including financial markets, power grid management, climate and weather modeling, or molecular dynamics. The analysis of such highly nonlinear… read more here.

Keywords: series data; time; time series; markov processes ... See more keywords

A Hu-Washizu variational approach to self-stabilized quadrilateral Virtual Elements: 2D linear elastodynamics

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recommendations! Published in 2024 at "Computational Mechanics"

DOI: 10.1007/s00466-023-02438-0

Abstract: A recent mixed formulation of the Virtual Element Method in 2D elastostatics, based on the Hu-Washizu variational principle, is here extended to 2D elastodynamics. The independent modeling of the strain field, allowed by the mixed… read more here.

Keywords: virtual elements; washizu variational; variational approach; self stabilized ... See more keywords

Light propagation along a helical waveguide: variational approach

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recommendations! Published in 2020 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-020-02382-w

Abstract: We investigate numerically and analytically light propagation in a single spiral waveguide formed in a nonlinear dielectric medium, in the regime of low spatial frequency of the waveguide rotation. We present a general variational approach… read more here.

Keywords: light propagation; waveguide; propagation along; variational approach ... See more keywords

A variational approach for the dynamics of unsteady point vortices

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recommendations! Published in 2018 at "Aerospace Science and Technology"

DOI: 10.1016/j.ast.2018.05.010

Abstract: Abstract A Lagrangian formulation for the dynamics of unsteady point vortices is introduced and implemented. The proposed Lagrangian is related to previously constructed Lagrangian of point vortices via a gauge-symmetry in the case of vortices… read more here.

Keywords: point vortices; proposed lagrangian; unsteady point; point ... See more keywords

Incomplete financial markets model with nominal assets: Variational approach

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.03.051

Abstract: Abstract We deal with the analysis of the general equilibrium model with incomplete financial markets and nominal assets. We assume that there are 2 periods of time, say today and tomorrow. We define a consumption,… read more here.

Keywords: nominal assets; analysis; variational approach; approach ... See more keywords

Variational approach for Stokes flow through a two-dimensional non-uniform channel

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recommendations! Published in 2024 at "Scientific Reports"

DOI: 10.1038/s41598-024-66500-4

Abstract: A variational approach is proposed to study the Stokes flow in a two-dimensional non-uniform channel. By using the stationarity of the Lagrangian, the Euler-Lagrange equations are established which leads to a simple set of ordinary… read more here.

Keywords: flow two; stokes flow; variational approach; two dimensional ... See more keywords
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Variational approach to stationary and pulsating dissipative optical solitons

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recommendations! Published in 2017 at "Iet Optoelectronics"

DOI: 10.1049/iet-opt.2017.0121

Abstract: The trial function approach is a useful technique to modelling soliton solutions for equations that cannot be solved exactly. The authors use the variational approach to find approximate solutions for the dissipative solitons described by… read more here.

Keywords: pulsating dissipative; stationary pulsating; approach stationary; dissipative optical ... See more keywords

Variational approach to powder-binder separation in Poiseuille and Couette flows

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recommendations! Published in 2017 at "Physics of Fluids"

DOI: 10.1063/1.4977745

Abstract: To predict the time-evolution of powder separation in the Phillips model, we derive an essential condition under a viscosity model for non-Newtonian fluids which considers the effects of shear rate and particle volume fraction. Under… read more here.

Keywords: powder separation; approach powder; separation; powder ... See more keywords

A Geometric Variational Approach to Bayesian Inference

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recommendations! Published in 2020 at "Journal of the American Statistical Association"

DOI: 10.1080/01621459.2019.1585253

Abstract: Abstract 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. Under the square-root density representation, the manifold can… read more here.

Keywords: bayesian inference; geometric variational; geometry; variational approach ... See more keywords

A variational approach to the semi-wave solutions of a free boundary problem with a multistable nonlinearity

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recommendations! Published in 2025 at "Nonlinearity"

DOI: 10.1088/1361-6544/ae11f2

Abstract: We propose a variational approach to study the semi-wave solutions of the Stefan type free boundary problem introduced by Du and Lin (2010 SIAM J. Math. Anal. 42 377–405) and provide a variational description of… read more here.

Keywords: problem; wave solutions; variational approach; nonlinearity ... See more keywords