Results 21 to 30 of about 2,154 (279)
Long-term stability of cylindrical shells of viscoelastic composites
Lietuvos Matematikos Rinkinys, 2002 On the grounds of Hamilton's principle the system of linear integral equations has been obtained for the solution of stability problems of cylindrical shells made of viscoelastic composite materials by the finite element method.
Vaclovas Sirius
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Theory of Generalized Canonical Transformations for Birkhoff Systems
Advances in Mathematical Physics, 2020 Transformation is an important means to study problems in analytical mechanics. It is often difficult to solve dynamic equations, and the use of variable transformation can make the equations easier to solve. The theory of canonical transformations plays
Yi Zhang
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Fluids, 2022 Hamiltonian variational principles have provided, since the 1960s, the means of developing very successful wave theories for nonlinear free-surface flows, under the assumption of irrotationality.
Constantinos P. Mavroeidis +1 more
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Hypercontractivity of Hamilton–Jacobi equations
Journal de Mathématiques Pures et Appliquées, 2001 Using the equivalence of logarithmic Sobolev inequalities and hypercontractivity of the associated heat semigroup proved by \textit{L. Gross} [Am. J. Math. 97(1975), 1061--1083 (1976; Zbl 0318.46049)], the authors show that logarithmic Sobolev inequalities are similarly related to hypercontractivity of the solutions of Hamilton-Jacobi equations.
Bobkov, Sergey G +2 more
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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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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 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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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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