Results 11 to 20 of about 42,410 (200)

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   +4 more sources

The Quantum Hamilton–Jacobi Equation and the Link Between Classical and Quantum Mechanics

Quanta, 2022
We study how the classical Hamilton's principal and characteristic functions are generated from the solutions of the quantum Hamilton–Jacobi equation.
Mario Fusco Girard
doaj   +1 more source

Hamilton-Jacobi Theory for Degenerate Lagrangian Systems with Holonomic and Nonholonomic Constraints [PDF]

, 2012
We extend Hamilton-Jacobi theory to Lagrange-Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints.
Abraham R., Bloch A. M., Cortés J., Diana Sosa, Dirac P. A. M., Ehlers K. M., Gotay M. J., Gotay M. J., Henneaux M., Ibort A., Kobayashi S., Künzle H. P., Melvin Leok, Montgomery R., Murphey T. D., Tomoki Ohsawa, Tulczyjew W. M., Tulczyjew W. M., van der Schaft A. J.   +18 more
core   +1 more source

Hamilton-Jacobi equations [PDF]

, 2015
Voce in ...
Cristiani, E.
  +6 more sources

Dirac equation of spin particles and tunneling radiation from a Kinnersly black hole

European Physical Journal C: Particles and Fields, 2017
In curved space-time, the Hamilton–Jacobi equation is a semi-classical particle equation of motion, which plays an important role in the research of black hole physics.
Guo-Ping Li, Zhong-Wen Feng, Hui-Ling Li, Xiao-Tao Zu   +3 more
doaj   +1 more source

A kinetic eikonal equation [PDF]

, 2012
We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit $(t,x)\to (t/\eps,x/\eps)$. We derive a new type of limiting Hamilton-Jacobi equation, which is analogous to the classical eikonal ...
Bouin, Emeric, Calvez, Vincent
core   +6 more sources

A junction condition by specified homogenization and application to traffic lights [PDF]

, 2015
Given a coercive Hamiltonian which is quasi-convex with respect to the gradient variable and periodic with respect to time and space at least "far away from the origin", we consider the solution of the Cauchy problem of the corresponding Hamilton-Jacobi ...
Galise, Giulio, Imbert, Cyril, Monneau, Régis   +2 more
core   +4 more sources

Hamilton Jacobi Equations with Obstacles [PDF]

Archive for Rational Mechanics and Analysis, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Lellis, Camillo, Robyr, R
openaire   +2 more sources

Hamilton-Jacobi approach to Berezinian singular systems [PDF]

, 1997
In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra.
B.M. Pimentel, Berezin, Carathéodory, Gitman, Güler, Güler, Güler, Güler, Güler, Hanson, J.L. Tomazelli, Pimentel, R.G. Teixeira, Rabei, Rabei, Sudarshan, Sundermeyer, Whittaker   +17 more
core   +2 more sources

Hamilton-Jacobi Method for Mechanical Systems on Time Scales

Complexity, 2018
This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
doaj   +1 more source