Results 131 to 140 of about 9,739 (169)

The Hamilton–Jacobi equation

2020
Abstract This chapter discusses the motion of particles which are scattered by and fall towards the center of the dipol, the motion of a particle in the Coulomb and the constant electric fields, and a particle inside a smooth elastic ellipsoid.
Gleb L. Kotkin, Valeriy G. Serbo
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Solution of Hamilton Jacobi Bellman equations

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
We present a method for the numerical solution of the Hamilton Jacobi Bellman PDE that arises in an infinite time optimal control problem. The method can be of higher order to reduce "the curse of dimensionality". It proceeds in two stages. First the HJB PDE is solved in a neighborhood of the origin using the power series method of Al'brecht (1961 ...
C. L. Navasca, Arthur J. Krener
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Homogenization of Metric Hamilton–Jacobi Equations

Multiscale Modeling & Simulation, 2009
In this work we provide a novel approach to homogenization for a class of static Hamilton–Jacobi (HJ) equations, which we call metric HJ equations. We relate the solutions of the HJ equations to the distance function in a corresponding Riemannian or Finslerian metric.
Adam M. Oberman, Ryo Takei, Alexander Vladimirsky   +2 more
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3-geometries and the Hamilton–Jacobi equation

Journal of Mathematical Physics, 2004
In the first part of this work we show that on the space of solutions of a certain class of systems of three second-order PDE’s, uαα=Υ(α,β,u,uα,uβ), uββ=Ψ(α,β,u,uα,uβ) and uαβ=Ω(α,β,u,uα,uβ), a three-dimensional definite or indefinite metric, gab, can be constructed such that the three-dimensional Hamilton–Jacobi equation, gabu,au,b=1 holds ...
García-Godínez, Patricia, Newman, Ezra Ted, Silva-Ortigoza, Gilberto   +2 more
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R-separation for the Hamilton?Jacobi equation

Letters in Mathematical Physics, 1982
We present a non-trivial example of the occurrence of R-separation for the Hamilton—Jacobi equation on a complex Riemannian manifold. In our example the R-separation functions depends on a free parameter, this gives rise to a one-parameter family of R-separable solutions of the corresponding Helmholtz equation.
Kalnins, E. G., Reid, G. J.
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On the extension of the solutions of Hamilton–Jacobi equations

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Hamilton–Jacobi–Bellman Equations

SIAM Journal on Control and Optimization, 1992
Summary: This paper studies the following form of nonlinear stochastic partial differential equation: \[ \begin{multlined} -d\Phi_ t=\inf_{v\in U}\left\{\frac12 \sum_{i,j}[\sigma\sigma^*]_{ij}(x,v,t)\partial_{x_ ix_ j}\Phi_ t(x)+\sum_ i b_ i(x,v,t)\partial_{x_ i}\Phi_ t(x)+L(x,v,t)+\right. \\ \left.+\sum_{i,j}\sigma_{ij}(x,v,t)\partial _{x_ i}\Psi_{j,t}
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Hamilton-Jacobi equations

2012
unknown ...
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Quantization and the Classical Hamilton-Jacobi Equation

Physical Review, 1962
In this paper, a formalism for quantization is developed which starts out from the Hamilton-Jacobi expression, $\frac{\ensuremath{\partial}S}{\ensuremath{\partial}t}+H(\frac{\ensuremath{\partial}S}{\ensuremath{\partial}q}, q)$, and which leads to its usual quantum-mechanical operator equivalent by means of straightforward algebra.
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Hamilton–Jacobi Equations

2023
Mi-Ho Giga, Yoshikazu Giga
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