Lagrangian for Circuits with Higher-Order Elements
The necessary and sufficient conditions of the validity of Hamilton’s variational principle for circuits consisting of (α,β) elements from Chua’s periodical table are derived.
Zdenek Biolek +2 more
doaj +1 more source
We establish an $h$-principle for exact Lagrangian embeddings with concave Legendrian boundary. We prove, in particular, that in the complement of the unit ball $B$ in the standard symplectic $\R^{2n}, 2n\geq 6$, there exists an embedded Lagrangian $n ...
Eliashberg, Yakov, Murphy, Emmy
core +2 more sources
On a stability of polar symmetrical deformation of bodies from softening materials
Special case of continuum mechanical systems is considered. It is believed that deforming is carried out under conditions of polar symmetry of stresses and strains.
Valery V Struzhanov, Kirill V Berdnikov
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Stochastic models of Lagrangian acceleration of fluid particle in developed turbulence [PDF]
Modeling statistical properties of motion of a Lagrangian particle advected by a high-Reynolds-number flow is of much practical interest and complement traditional studies of turbulence made in Eulerian framework.
Aringazin, A. K., Mazhitov, M. I.
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Lagrangian Constant Cycle Subvarieties in Lagrangian Fibrations [PDF]
Abstract We show that the image of a dominant meromorphic map from an irreducible compact Calabi–Yau manifold X whose general fiber is of dimension strictly between 0 and $\dim X$ is rationally connected. Using this result, we construct for any hyper-Kähler manifold X admitting a Lagrangian fibration a Lagrangian constant cycle ...
openaire +2 more sources
A novel soot concentration field estimator applied to sooting ethylene/air laminar flames
Soot formation modeling, when incorporated into computational fluid dynamics of industrial devices, can be numerically prohibitive. Nonetheless, there remains a significant push to predict soot formation, so as to aid in environmentally sustainable ...
L. Zimmer, S. Kostic, S. B. Dworkin
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Aspects of reduction and transformation of Lagrangian systems with symmetry [PDF]
This paper contains results on geometric Routh reduction and it is a continuation of a previous paper where a new class of transformations is introduced between Lagrangian systems obtained after Routh reduction.
Andrés, E. García-Toraño +2 more
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Variational problem, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation [PDF]
The goal of this article is to compute conservation law, Lagrangian and $\mu$-conservation law of the generalized Rosenau-type equation using the homotopy operator, the $\mu$-symmetry method and the variational problem method.
Khodayar Goodarzi
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Lifting Lagrangian immersions in $\mathbb{C} P^{n-1}$ to Lagrangian cones in $\mathbb{C}^n$
In this paper we show how to lift Lagrangian immersions in $\mathbb{C} P^{n-1}$ to produce Lagrangian cones in $\mathbb{C} ^n$, and use this process to produce several families of examples of Lagrangian cones and special Lagrangian cones.
Baldridge, Scott +2 more
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Local Lagrangian Approximations for the Evolution of the Density Distribution Function in Large-Scale Structure [PDF]
We examine local Lagrangian approximations for the gravitational evolution of the density distribution function. In these approximations, the final density at a Lagrangian point q at a time t is taken to be a function only of t and of the initial density
Protogeros, Zacharias A. M. +1 more
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