Results 91 to 100 of about 1,352,114 (197)
Using Euler-Lagrange Equation In Solving Isoperimetric Problems
, 2023 Many applications of calculus of variation lead to problems in which not only boundary conditions, but also conditions called subsidiary are imposed on the extreme curve. These problems are known as Isoperimetric problems.
Muhammed D.Al-Alasadi
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Poisson Structures for PDEs Associated with Diffeomorphism Groups [PDF]
, 2004 We study Poisson and Lie-Poisson structures on the diffeomorphism groups with a smooth metric spray in connection with dynamics of nonlinear PDEs. In particular, we provide a precise analytic sense in which the time t map for the Euler equations of an ...
Vasylkevych, Sergiy
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Image Restoration using a Nonlinear Second-order Parabolic PDE-based Scheme
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 A novel anisotropic diffusion-based image denoising and restoration approach is proposed in this paper. A variational model for image restoration is introduced first, then the corresponding Euler-Lagrange equation being determined.
Barbu Tudor, Moroşanu Costică
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Capability and Limitations of a Tuned Mass Damper for a 15‐MW Semisubmersible Floating Wind Turbine
Wind Energy, Volume 29, Issue 11, November 2026.ABSTRACT Large floating offshore wind turbines (FOWTs) under coupled aerodynamic and hydrodynamic loading exhibit broadband low‐frequency response in addition to the platform‐pitch resonance. Tuned mass dampers (TMDs) have been studied for a range of applications, but their net benefit under fully coupled operational conditions has not been quantified.
Yu Gao +3 more
wiley +1 more source
Rocking and Rolling of Rigid Polygons Under Seismic Excitation
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3161-3180, 10 October 2026.ABSTRACT We present an event driven analytical framework for rigid cyclic polygons subjected to horizontal ground excitation in which uplift, impact, and successive pivot switching are treated within a unified non‐smooth dynamical description. Rolling is defined as a sequence of energetically admissible transitions between neighbouring vertices tied to
Atif Rasheed +1 more
wiley +1 more source
A NEW TYPE OF DISCRETE EULER-LAGRANGE EQUATION WITH APPLICATIONS IN OPTIMAL CONTROL [PDF]
, 2014 A new type of discrete Euler-Lagrange equation, suitable for generalization, is presented in this paper. Several forms of this equation can be found in references. They have different differential operators as well as combinations of them.
Perić, Staniša Lj +4 more
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Euler- Lagrange Equation for Fractional Variational Problems
, 2017 This thesis introduces three new operators and presents some of their properties. It defines a new class of variational problems in terms of these operators and derives Euler-Lagrange equations for this class of problems.
Diriba, Hailu Daba
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Deformation minimal bending of compact manifolds: case of simple closed curves [PDF]
Opuscula Mathematica, 2008 The problem of minimal distortion bending of smooth compact embedded connected Riemannian \(n\)-manifolds \(M\) and \(N\) without boundary is made precise by defining a deformation energy functional \(\Phi\) on the set of diffeomorphisms \(\text{Diff}(M ...
Oksana Bihun, Carmen Chicone
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Journal of Field Robotics, Volume 43, Issue 7, Page 4475-4514, October 2026.ABSTRACT As a crucial puzzle piece of deep space exploration, exploring small bodies can provide significant scientific insights and valuable mineral resources. Unlike missions to the Moon and Mars, small‐body missions pose distinct technical challenges, including communication delays, weak gravity, and uncertain environments. This paper reviews a full
Xin Zhang +3 more
wiley +1 more source
On the Euler-Lagrange Equation of a functional by Pólya and Szegö
, 2016 We study the regularity properties of generalized solutions of the Euler-Lagrange equation of a functional involving capacity and perimeter, related to a conjecture of Polya and Szeg
Zhong, Xiao, FUSCO, NICOLA
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