Results 161 to 170 of about 40,007 (203)

Regularity of perturbed Hamilton–Jacobi equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
The Hamilton-Jacobi equations \[ \begin{cases} u_t+ F(\nabla u)= 0,\quad & x\in\mathbb{R}^N,\;t\geq 0,\\ u(x,0)= u_0(x),\quad & x\in\mathbb{R}^N,\end{cases}\tag{1} \] where \(\nabla\) is the spatial gradient, \(F\in C^2(\mathbb{R}^N)\) is weakly convex and normalized to satisfy \(F(0)= 0\), and all functions are real valued, is considered. The operator
Goldstein, Jerome A., Soeharyadi, Yudi
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Hamilton-Jacobi equations

2012
unknown ...
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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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Homogenization for¶Stochastic Hamilton-Jacobi Equations

Archive for Rational Mechanics and Analysis, 2000
Homogenization results for the Hamilton-Jacobi equation \[ \partial_{t}u^\varepsilon + H({x\over\varepsilon},Du^\varepsilon, \omega) = 0 \;\text{in \(\mathbb{R}^{d}\times \left]0,\infty\right[\)}, \quad u^\varepsilon(0,\cdot) = g \;\text{on \(\mathbb{R}^{d}\)}, \tag{1} \] with a random Hamiltonian \(H\) are studied. Let \((\tau_{x}, x\in \mathbb{R}^{d})
Rezakhanlou, Fraydoun, Tarver, James E.
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The Fractional Hamilton-Jacobi-Bellman Equation

Journal of Applied Nonlinear Dynamics, 2017
Summary: In this paper we initiate the rigorous analysis of controlled Continuous Time Random Walks (CTRWs) and their scaling limits, which paves the way to the real application of the research on CTRWs, anomalous diffusion and related processes. For the first time the convergence is proved for payoff functions of controlled scaled CTRWs and their ...
Veretennikova, M., Kolokoltsov, V.
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Hamilton–Jacobi Equations

2023
Mi-Ho Giga, Yoshikazu Giga
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Extended Hamilton–Jacobi Equation

2009
In the context of the extended canonical transformation theory, we may derive an extended version of the Hamilton–Jacobi equation.
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Splitting methods for Hamilton‐Jacobi equations

Numerical Methods for Partial Differential Equations, 2005
AbstractWe explain how the exploitation of several kinds of operator splitting methods, both local and global in time, lead to simple numerical schemes approximating the solution of nonlinear Hamilton‐Jacobi equations. We review the existing local methods which have been used since the early 80's and we introduce a new method which is global in time ...
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Viscous Hamilton-Jacobi equations

2007
Lavoro accettato per la pubblicazione, in corso di ...
CAPUZZO DOLCETTA, Italo, LEONI, Fabiana, PORRETTA A.   +2 more
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly