Results 41 to 50 of about 3,553,452 (205)

Discrete Hamilton-Jacobi Theory

, 2011
We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in time.
Anthony M. Bloch, Elnatanov N. A., Melvin Leok, Tomoki Ohsawa   +3 more
core   +2 more sources

Covariant GUP Deformed Hamilton-Jacobi Method

Advances in High Energy Physics, 2017
We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
doaj   +1 more source

Solving the Hamilton-Jacobi equation for general relativity. [PDF]

Physical Review D, Particles and fields, 1993
We demonstrate a systematic method for solving the Hamilton-Jacobi equation for general relativity with the inclusion of matter fields. The generating functional is expanded in a series of spatial gradients.
Parry, Salopek, Stewart
semanticscholar   +1 more source

Covariant Hamilton–Jacobi Formulation of Electrodynamics via Polysymplectic Reduction and Its Relation to the Canonical Hamilton–Jacobi Theory

Mathematics
The covariant Hamilton–Jacobi formulation of electrodynamics is systematically derived from the first-order (Palatini-like) Lagrangian. This derivation utilizes the De Donder–Weyl covariant Hamiltonian formalism with constraints incroporating generalized
Cecile Barbachoux, Monika E. Pietrzyk, Igor V. Kanatchikov, Valery A. Kholodnyi, Joseph Kouneiher   +4 more
doaj   +1 more source

A Hamilton-Jacobi Equation for the Continuum Limit of Nondominated Sorting [PDF]

SIAM Journal on Mathematical Analysis, 2013
We show that nondominated sorting of a sequence $X_1,\dots,X_n$ of independent and identically distributed random variables in $\mathbb{R}^d$ has a continuum limit that corresponds to solving a Hamilton--Jacobi equation involving the probability density ...
J. Calder, S. Esedoglu, A. Hero
semanticscholar   +1 more source

3D Reconstruction of Non-Lambertian Surfaces by Perspective Shape-From-Shading With Fast Viscosity Solution

Frontiers in Physics, 2022
Shape-from-shading (SFS) is an important method to reconstruct three-dimensional (3D) shape of a surface in photometry and computer vision. Lambertian surface reflectance and orthographic camera projection are two fundamental assumptions which generally ...
Guohui Wang, Hao Zheng
doaj   +1 more source

Singular stochastic control model for algae growth management in dam downstream

Journal of Biological Dynamics, 2018
A stochastic control model for finding an ecologically sound, fit-for-purpose dam operation policy to suppress bloom of attached algae in its downstream is presented. A singular exactly solvable and a more realistic regular-singular cases are analysed in
Hidekazu Yoshioka, Yuta Yaegashi
doaj   +1 more source

Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization

, 2011
We develop Hamilton-Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transforms nonholonomic systems into Hamiltonian systems.
Abraham, Anthony M. Bloch, Bates, Bloch, Bloch, Bloch, Cantrijn, Cariñena, Chaplygin, de León, Dmitry V. Zenkov, Ehlers, Fedorov, Fedorov, Fedorov, Fernandez, Hochgerner, Iglesias-Ponte, Kobayashi, Koiller, Koiller, Koon, Kozlov, Kozlov, Marsden, Marsden, Ohsawa, Oscar E. Fernandez, Planas-Bielsa, Stanchenko, Tomoki Ohsawa, Zenkov, Zenkov   +32 more
core   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, EarlyView.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

ON CONNECTIONS BETWEEN GENERALIZED SOLUTIONS OF PDE'S OF THE FIRST ORDER

Ural Mathematical Journal, 2015
The paper is devoted to investigation of connections between generalized solutions of the Cauchy problemfor the Hamilton-Jacobi-Bellman equation and the corresponding quasilinear equation of the first order in theof case n-dimentional state ...
Ekaterina A. Kolpakova
doaj   +1 more source