Results 81 to 90 of about 1,550,172 (171)

Hamilton-Jacobi theory applied to Vlasov's equation

, 1966
Solutions of Vlasov's equation are given in terms of the Hamilton-Jacobi function S for the characteristics. Such solutions are appropriate in order to derive equations for macroscopic quantities which are of interest, for instance, in turbulence ...
D. Pfirsch
core   +1 more source

Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation

Symmetry, Integrability and Geometry: Methods and Applications, 2008
In a previous work the concept of quantum potential is generalized into extended phase space (EPS) for a particle in linear and harmonic potentials.
Sadolah Nasiri, Samira Bahrami
doaj   +1 more source

Optimal investment models with vintage capital: Dynamic Programming approach [PDF]

The Dynamic Programming approach for a family of optimal investment models with vintage capital is here developed. The problem falls into the class of infinite horizon optimal control problems of PDE's with age structure that have been studied in various
Silvia Faggian, Fausto Gozzi
core  

The Dual Hamilton–Jacobi Equation and the Poincaré Inequality

Mathematics
Following the equivalence between logarithmic Sobolev inequalities and hypercontractivity shown by L. Gross, and applying the ideas and methods of the work by Bobkov, Gentil and Ledoux, we would like to establish a new connection between the logarithmic ...
Rigao He, Wei Wang, Jianglin Fang, Yuanlin Li   +3 more
doaj   +1 more source

Relaxation of Hamilton-Jacobi equations

, 2003
We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the following phenomenon: the pointwise supremum over a certain collection of subsolutions, in the almost everywhere sense, of a Hamilton-Jacobi equation yields a ...
LORETI, Paola, Hitoshi Ishii
core   +1 more source

A stochastic control problem

Electronic Journal of Differential Equations, 2004
In this paper, we study a specific stochastic differential equation depending on a parameter and obtain a representation of its probability density function in terms of Jacobi Functions.
William Margulies, Dean Zes
doaj  

Bohm's potential, classical/quantum duality and repulsive gravity

Physics Letters B, 2019
We propose the notion of a classical/quantum duality in the gravitational case (it can be extended to other interactions). By this one means exchanging Bohm's quantum potential for the classical potential VQ↔V in the stationary quantum Hamilton–Jacobi ...
Carlos Castro Perelman
doaj   +1 more source

Nonholonomic and Discrete Hamilton-Jacobi Theory. [PDF]

The first part of the thesis discusses an extension of Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. The major advantage of our result is that it provides us
Ohsawa, Tomoki
core   +5 more sources

Advancements in Quadrotor UAVs: Trajectory Tracking and Energy Optimal Control Using PINN and HJ Formalism for Quadrotor UAV Dynamics

Guidance, Navigation and Control
This paper presents a comprehensive dynamic analysis of Quadrotor unmanned aerial vehicles (UAVs) using the Hamilton–Jacobi (HJ) formalism for energy-efficient trajectory tracking and stabilization of quadrotor UAVs by unifying Hamilton–Jacobi–Bellman ...
Benaly Mohamed, Benaly Ayoub, Abdelkader Mezouari, Abdelkader Hadjoudja, Laamari Hlou, Rachid El Gouri   +5 more
doaj   +1 more source

An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples

Examples and Counterexamples
We consider a Cauchy–Dirichlet problem for a semilinear advection–diffusion equation with a generalized advection term. Specific examples include an incision–diffusion landscape evolution model and a viscous Hamilton–Jacobi equation with an absorbing ...
Tetyana Malysheva, Luther W. White
doaj   +1 more source