Results 11 to 20 of about 1,473,150 (249)

Hamilton–Jacobi equations for nonholonomic dynamics [PDF]

Journal of Mathematical Physics, 2005
We derive generalized Hamilton–Jacobi equations for dynamical systems subject to linear velocity constraints. As long as a solution of the generalized Hamilton–Jacobi equation exists, the action is actually minimized (not just extremized).
Michele Pavon, PAVON, MICHELE
openaire   +3 more sources

On solutions of Hamilton-Jacobi equations with exponential dependence on momentum

Современная математика: Фундаментальные направления
Three initial problems for one-dimensional Hamilton-Jacobi equations of evolutionary type are considered on a bounded time segment. In all problems, the Hamiltonians depend on the coordinate and momentum variables.
L. G. Shagalova
doaj   +3 more sources

A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]

, 2007
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]

, 2004
We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich), Tyukov, Alexei E., Schilling, René L., Vassili Kolokol'tsov, Alexei Tyukov, Schilling, RL, Tyukov, AE, Tyukov, A.E., Kolokoltsov, VN, Kolokol'tsov, V.N., René Schilling   +10 more
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Efficient Higher Order Time Discretization Schemes For Hamilton-Jacobi-Bellman Equations Based On Diagonally Implicit Symplectic Runge-Kutta Methods

, 2022
S.97-128We consider a semi-Lagrangian approach for the computation of the value function of a Hamilton-Jacobi-Bellman equation. This problem arises when one solves optimal feedback control problems for evolutionary partial differential equations.
Kalmykov, Ilja, Garcke, Jochen
core   +1 more source

Junction Conditions for Hamilton–Jacobi Equations for Solving Real-Time Traffic Flow Problems

IEEE Access, 2019
In this paper, we propose junction conditions for discontinuities due to local perturbation, diverging, merging, and multi-in-multi-out junctions. Traffic flows on junctions can be described by a system of coupled Hamilton-Jacobi equations.
Linfeng Zhang, Hongfei Jia, Nicolas Forcadel, Bin Ran   +3 more
doaj   +1 more source

Hypercontractivity of Hamilton–Jacobi equations

Journal de Mathématiques Pures et Appliquées, 2001
Using the equivalence of logarithmic Sobolev inequalities and hypercontractivity of the associated heat semigroup proved by \textit{L. Gross} [Am. J. Math. 97(1975), 1061--1083 (1976; Zbl 0318.46049)], the authors show that logarithmic Sobolev inequalities are similarly related to hypercontractivity of the solutions of Hamilton-Jacobi equations.
Bobkov, Sergey G, Gentil, Ivan, Ledoux, Michel   +2 more
openaire   +2 more sources

Quantum Hamilton-Jacobi Equation [PDF]

Physical Review Letters, 1998
The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing ...
openaire   +2 more sources

Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations

Boundary Value Problems, 2009
We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations ...
Shilin Zhang, Daxiong Piao
doaj   +2 more sources

An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]

, 2006
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru, Sakamoto, N., Sakamoto, Noboru,, van der Schaft, Arjan, Schaft, Arjan J. van der, Noboru Sakamoto, Schaft, Arjan J. van der,, Schaft, Arjan J. van der; id_orcid, van der Schaft, AJ; id_orcid, Arjan J. van der Schaft, van der Schaft, AJ   +10 more
core   +4 more sources