Results 21 to 30 of about 1,473,150 (249)

Stochastic homogenization of non-local Hamilton-Jacobi equations

open access: yes, 2016
We study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities.
Hajej, Ahmed
core   +5 more sources

Entropy in the Sense of Boltzmann and Poincare, Boltzmann Extremals, and the Hamilton-Jacobi Method in Non-Hamiltonian Context

open access: yesСовременная математика: Фундаментальные направления, 2018
In this paper, we prove the H-theorem for generalized chemical kinetics equations. We consider important physical examples of such a generalization: discrete models of quantum kinetic equations (Uehling-Uhlenbeck equations) and a quantum Markov process ...
Victor V Vedenyapin   +2 more
doaj   +1 more source

Singularities of Solutions of Hamilton–Jacobi Equations [PDF]

open access: yesMilan Journal of Mathematics, 2021
AbstractThis is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton–Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Riemannian geometry, Hamiltonian dynamical systems and partial differential equations.
Piermarco Cannarsa, Wei Cheng
openaire   +5 more sources

Hamiltonian approach to GR – Part 1: covariant theory of classical gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2017
A challenging issue in General Relativity concerns the determination of the manifestly covariant continuum Hamiltonian structure underlying the Einstein field equations and the related formulation of the corresponding covariant Hamilton–Jacobi theory ...
Claudio Cremaschini, Massimo Tessarotto
doaj   +1 more source

Some non monotone schemes for Hamilton-Jacobi-Bellman equations [PDF]

open access: yesESAIM: Proceedings and Surveys, 2019
We extend the theory of Barles Jakobsen [3] for a class of almost monotone schemes to solve stationary Hamilton Jacobi Bellman equations. We show that the monotonicity of the schemes can be relaxed still leading to the convergence to the viscosity ...
Warin Xavier
doaj   +1 more source

Optimal Propagating Fronts Using Hamilton-Jacobi Equations

open access: yesMathematics, 2019
The optimal handling of level sets associated to the solution of Hamilton-Jacobi equations such as the normal flow equation is investigated. The goal is to find the normal velocity minimizing a suitable cost functional that accounts for a desired ...
Angelo Alessandri   +3 more
doaj   +1 more source

Covariant GUP Deformed Hamilton-Jacobi Method

open access: yesAdvances 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

The Hamilton-Jacobi equation and holographic renormalization group flows on sphere

open access: yesJournal of High Energy Physics, 2020
We study the Hamilton-Jacobi formulation of effective mechanical actions associated with holographic renormalization group flows when the field theory is put on the sphere and mass terms are turned on.
Nakwoo Kim, Se-Jin Kim
doaj   +1 more source

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core   +7 more sources

On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]

open access: yesOpuscula Mathematica, 2007
The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska   +1 more
doaj  

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