Results 21 to 30 of about 1,033 (162)
Geometric Hamilton-Jacobi theory for higher-order autonomous systems [PDF]
, 2013 The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formalisms.
Prieto Martínez, Pedro Daniel +7 more
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Derivation of the Schrödinger equation from the Hamilton–Jacobi equation in Feynman's path integral formulation of quantum mechanics [PDF]
European Journal of Physics, 2010 It is shown how the time-dependent Schrödinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrödinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi ...
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, 2022 It is well known that, by taking a limit of Schrödinger’s equation, we may recover Hamilton-Jacobi’s equation which governs one of the possible formulations of classical mechanics. Conversely, we may start from the Hamilton-Jacobi’s equation and, by using a lifting principle, we may reach a set of nonlinear generalized Schrödinger’s equations.
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Variational Time Integrators in Computational Solid Mechanics [PDF]
, 2003 This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
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SBV regularity for Hamilton-Jacobi equations in ℝ^n [PDF]
, 2010 We study the regularity of viscosity solutions to the following Hamilton-Jacobi equations ∂ t u+H(D x u)=0inΩ⊂ℝ×ℝ n · In particular, under the assumption that the Hamiltonian H∈C 2 (ℝ n ) is uniformly convex, we prove that D x u and ∂ t u belong to the ...
De Lellis, Camillo; https://orcid.org/ +9 more
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Unified formalism for the generalized kth-order Hamilton-Jacobi problem [PDF]
, 2013 The geometric formulation of the Hamilton-Jacobi theory enables u s to generalize it to systems of higher-order ordinary differential equations. In this w ork we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacob
Prieto Martínez, Pedro Daniel +3 more
core +2 more sources
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
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, EarlyView.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
The companion equations and the moyal-nahm equations [PDF]
, 2000 The first part of this thesis is concerned with the companion equations. These are equations of motion for the companion Lagrangian which is proposed to be the Lagrangian for a field theory associated with strings and branes, similar to the Klein-Gordon ...
Baker, Linda Margaret
core
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang +3 more
wiley +1 more source