A Variational Approach to Solitary Gravity–Capillary Interfacial Waves with Infinite Depth
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
Light propagation along a helical waveguide: variational approach
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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
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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 to stationary and pulsating dissipative optical solitons
Sign Up to like & getrecommendations! 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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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
Sign Up to like & getrecommendations! 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
Quantum phase transitions in the spin-boson model: Monte Carlo method versus variational approach à la Feynman
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DOI: 10.1103/physrevb.101.180408
Abstract: The effectiveness of the variational approach \`a la Feynman is proved in the spin-boson model, i.e., the simplest realization of the Caldeira-Leggett model able to reveal the quantum phase transition from delocalized to localized states… read more here.
Keywords: quantum phase; model; variational approach; phase ... See more keywords
Covariant variational approach to Yang-Mills Theory: Thermodynamics
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DOI: 10.1103/physrevd.96.054029
Abstract: The thermodynamics of $SU(2)$ Yang-Mills theory in the covariant variational approach is studied by relating the free action density in the background of a non-trivial Polyakov loop to the pressure of the gluon plasma. The… read more here.
Keywords: yang mills; thermodynamics; variational approach; mills theory ... See more keywords
Variational approach to N -body interactions in finite volume
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DOI: 10.1103/physrevd.98.094502
Abstract: We explore variational approach to the finite-volume $N$-body problem. The general formalism for N non-relativistic spinless particles interacting with periodic pair-wise potentials yields N-body secular equations. The solutions depend on the infinite-volume N-body wave functions.… read more here.
Keywords: volume; finite volume; variational approach; volume body ... See more keywords