Results 11 to 20 of about 1,071 (239)
Symmetries of the Hamilton–Jacobi equation [PDF]
Journal of Mathematical Physics, 1977 We present a detailed discussion of the infinit esimal symmetries of the Hamilton-Jacobi equation (an arbitrary first order partial equation) Our presentation clucidates the role played by the characteristic system in determining the symmetries. We then specialize to the case of a free particle in one space and one time dimension, and study of local ...
Boyer, C.P., Kalnins, Ernie G.
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Hamilton Jacobi Equations with Obstacles [PDF]
Archive for Rational Mechanics and Analysis, 2010 We consider a problem in the theory of optimal control proposed for the first time by Bressan. We characterize the associated minimum time function using tools from geometric measure theory and we obtain, as a corollary, an existence theorem for a related variational problem.
De Lellis, Camillo, Robyr, R
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Shock and Vibration, 1993 Early derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages.
L. Meirovitch
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Optimal control of systems with time delays
Vietnam Journal of Mechanics, 1992 Hamilton's canonical equations and an algorithm of the conjugate gradient method are developed for systems with time delays. The results are applied to one concrete system.
Nguyen Nhat Le
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Passivity Analysis of Nonlinear Euler-Bernoulli Beams [PDF]
Modeling, Identification and Control, 2002 The Lagrangian equations for distributed-parameter systems based on Hamilton's principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their
Mehrdad P. Fard
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Hamilton’s gradient estimates and Liouville theorems for porous medium equations
Journal of Inequalities and Applications, 2016 Let ( M n , g ) $(M^{n}, g)$ be an n-dimensional Riemannian manifold. In this paper, we derive a local gradient estimate for positive solutions of the porous medium equation u t = Δ ( u p ) , 1 < p < 1 + 1 n − 1 , $$u_{t}=\Delta\bigl(u^{p}\bigr),\quad 1<
Guangyue Huang, Ruiwei Xu, Fanqi Zeng
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New Analytical Model Used in Finite Element Analysis of Solids Mechanics
Mathematics, 2020 In classical mechanics, determining the governing equations of motion using finite element analysis (FEA) of an elastic multibody system (MBS) leads to a system of second order differential equations.
Sorin Vlase +2 more
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Resurgence in a Hamilton-Jacobi equation [PDF]
Annales de l'Institut Fourier, 2003 We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution ...
Olivé, Carme +2 more
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Hamilton–Jacobi equations on an evolving surface [PDF]
Mathematics of Computation, 2019 We consider the well-posedness and numerical approximation of a Hamilton--Jacobi equation on an evolving hypersurface in $\mathbb R^3$. Definitions of viscosity sub- and supersolutions are extended in a natural way to evolving hypersurfaces and provide uniqueness by comparison. An explicit in time monotone numerical approximation is derived on evolving
Klaus Deckelnick +3 more
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THE HAMILTON–JACOBI EQUATION ON LIE AFFGEBROIDS [PDF]
International Journal of Geometric Methods in Modern Physics, 2006 The Hamilton–Jacobi equation for a Hamiltonian section on a Lie affgebroid is introduced and some examples are discussed.
Marrero, J. C., Sosa, D.
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