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Showing 1 to 11 of 11 for “"euler-lagrange equations"”.
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Invariant Euler-Lagrange Equations for Variational Problems Defined over Framed Curves in Two and Three Dimensions
… on deriving and understanding the invariant Euler-Lagrange equations for variational problems defined over framed curves in two and three dimensions. We make use of the moving frame machinery developed by Fels and Olver ([FO99]) along with the structure of the invariant variational complex as …
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Geometric discretization schemes and differential complexes for elasticity
… on this configuration manifold. The discrete Euler-Lagrange equations are obtained without using Lagrange multipliers.
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Tipping Points in Stochastically Perturbed Linear Filippov Systems
… functional using solutions to the corresponding Euler-Lagrange equations and a gradient flow applied to the functional. We also prove an extension of Kramer's law to determine bounds for the expected tipping time. Using these methods, we determine the most probable transition path from a frozen …
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Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem
Relativistic Vlasov-Boltzmann kinetic equations are constructed from quantum field theory for scalar bosons and Dirac fermion fields. Lie's principle of differential invariance is extended to the case of non-linear integro-differential equations for both scalar and matrix distribution functions, …
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Lagrangian structures and multidimensional consistency
… equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable). Multidimensional consistency is a key integrability property of certain discrete systems; it implies that we are dealing with infinite …
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Development of a nonlinear predictive control algorithm and its application to flotation
… solving optimal control problems, applying the Euler-Lagrange equations to transofrm the optimal control problem into a two-point boundary value problem (BVP). Conventionally these problems have been solved using the multiple shooting differential equation solver, or variants of it. In this work …
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Interplay of Geometry and Mechanics: Disordered Spring Networks and Shape-changing Cerebella
… The softening mechanism is independent of Euler-buckling instabilities. Introduction of area-conserving regular polygons as inclusions in the semiflexible network introduces non-affinities in the elastic response of the system. The non-affine bending of filaments leads to compression …
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Taming the Inverse and Forward Problems in Density Functional Theory
… Towards this end, the associated Euler-Lagrange equations, i.e. the Kohn-Sham equations, are often solved in practice, which demand a procedure that iterates an initial guess density to a \textit{self-consistent} density (the solution). A new framework is presented for evaluating …
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Residual-based turbulence models for incompressible flows in domains with moving boundaries
… formulation is cast in an Arbitrary Lagrangian-Eulerian (ALE) frame of reference. Multiple models of increasing degree of mathematical and algorithmic sophistication are presented. In all the cases, we assume a multiscale decomposition of the solution fields into overlapping components of …
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An analytical and experimental investigation of the response of elliptical composite cylinders
… analysis, based on Donnell’s nonlinear shell equations, is developed to study the prebuckling responses of geometrically perfect cylinders. In this analysis the circumferentially-varying radius of curvature of the cylinder is expanded in a cosine series. While elliptical sections are studied …
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A Long-Range Energy Model Aimed to Maximize Utility
Made available in DSpace on 2017-07-06T18:55:11Z (GMT). No. of bitstreams: 3 Luo_Jianding_MS.pdf: 38517059 bytes, checksum: f30acef3deccbd1e9315466a85aa4750 (MD5) Luo_Jianding_MS_ABS.pdf: 460590 bytes, checksum: d5edbdb7d9ed45d15af3ae6f01de992d (MD5) license.txt: 4813 bytes, checksum: …