TITLE

Extended least action principle for steady flows under a prescribed flux

AUTHOR(S)
Wolansky, G.
PUB. DATE
March 2008
SOURCE
Calculus of Variations & Partial Differential Equations;Mar2008, Vol. 31 Issue 3, p277
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The extended principle of minimal action is described in the presence of prescribed source and sink points. Under the assumption of zero net flux, it leads to an optimal Monge–Kantorovich transport problem of metric type. We concentrate on action corresponding to a mechanical Lagrangian. The optimal solution turns out to be a measure supported on a graph composed of geodesic arcs connecting pairs of sources and sinks.
ACCESSION #
27960662

 

Related Articles

  • Longtime existence of the Lagrangian mean curvature flow. Knut Smoczyk // Calculus of Variations & Partial Differential Equations;May2004, Vol. 20 Issue 1, p25 

    Given a compact Lagrangian submanifold in flat space evolving by its mean curvature, we prove uniform $C^{2,\alpha}$ -bounds in space and C 2-estimates in time for the underlying Monge-Amp�re equation under weak and natural assumptions on the initial Lagrangian submanifold. This implies...

  • New Language Multipliers Rules for Constrained Quasidifferentiable Optimization. Yan Gao // Vietnam Journal of Mathematics;Mar2002, Vol. 30 Issue 1, p55 

    New first-order necessary optimality conditions with Lagrange multipliers for quasidifferentiable optimization with equality and inequality constraints are proposed. Kuhn-Tucker sufficient optimality conditions are also developed. Two kinds of differences for two convex compact sets, proposed by...

  • An invariant variational principle for canonical flows on Lie groups. Muzsnay, Zoltán // Journal of Mathematical Physics;Nov2005, Vol. 46 Issue 11, p112902 

    In this paper we examine the existence of Lie groups, whose canonical geodesic flows are variational with respect to a left-invariant regular—but not necessarily quadratic (i.e., metric)—Lagrange function. We give effective necessary and sufficient conditions for the existence of...

  • Formulation of the Post-Newtonian Equations of Motion of the Restricted Three Body Problem. El-Salam, Fawzy A. Abd; El-Bar, Sobhy Abd // Applied Mathematics;Feb2011, Vol. 2 Issue 2, p155 

    In the present work the geodesic equation represents the equations of motion of the particles along the geodesics is derived. The deviation of the curved space-time metric tensor from that of the Minkowski tensor is considered as a perturbation. The quantities is expanded in powers of c-2. The...

  • SINGULAR SETS IN THE CALCULUS OF VARIATIONS. O'Neil, Toby C. // Real Analysis Exchange;Jun2006 Conference, Vol. 32, p101 

    The article focuses on the singular sets in the calculus of variations. It notes that one of the problems in the 1-dimensional calculus of variations is to find conditions on an L: ℝsup3; → ℝ It cites conditions that qualify the function L: ℝsup;3 → as a...

  • Symmetry Groups and Non-Planar Collisionless Action-Minimizing Solutions of the Three-Body Problem in Three-Dimensional Space. Ferrario, Davide L. // Archive for Rational Mechanics & Analysis;Mar2006, Vol. 179 Issue 3, p389 

    Periodic and quasi-periodic solutions of the n-body problem can be found as minimizers of the Lagrangian action functional restricted to suitable spaces of symmetric paths. The main purpose of this paper is to develop a systematic approach to the equivariant minimization for the three-body...

  • Augmented Lagrangian functions for constrained optimization problems. Zhou, Y.; Yang, X. // Journal of Global Optimization;Jan2012, Vol. 52 Issue 1, p95 

    In this paper, in order to obtain some existence results about solutions of the augmented Lagrangian problem for a constrained problem in which the objective function and constraint functions are noncoercive, we construct a new augmented Lagrangian function by using an auxiliary function. We...

  • Convergence to Second-Order Stationary Points of a Primal-Dual Algorithm Model for Nonlinear Programming. Di Pillo, Gianni; Lucidi, Stefano; Palagi, Laura // Mathematics of Operations Research;Nov2005, Vol. 30 Issue 4, p897 

    We define a primal-dual algorithm model (second-order Lagrangian algorithm, SOLA) for inequality constrained optimization problems that generates a sequence converging to points satisfying the second-order necessary conditions for optimality. This property can be enforced by combining the...

  • Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. Birgin, Ernesto; Martínez, J. // Computational Optimization & Applications;Apr2012, Vol. 51 Issue 3, p941 

    At each outer iteration of standard Augmented Lagrangian methods one tries to solve a box-constrained optimization problem with some prescribed tolerance. In the continuous world, using exact arithmetic, this subproblem is always solvable. Therefore, the possibility of finishing the subproblem...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics