Geometric Lagrangian approach to the physical degree of freedom count in field theory [PDF]
, 2017 To circumvent some technical difficulties faced by the geometric Lagrangian approach to the physical degree of freedom count presented in the work of Diaz, Higuita, and Montesinos [J. Math. Phys.
Bogar Díaz Jiménez +2 more
semanticscholar +1 more source
Precipitation Moisture Sources of Ethiopian River Basins and Their Role During Drought Conditions
Frontiers in Earth Science, 2022 In this study, we identified and investigated the annual climatological moisture sources for the Ethiopian river basins during 1980–2018. First, according to cluster analysis, the 12 river basins of this country were grouped into four regions: northeast (
Milica Stojanovic +6 more
doaj +1 more source
Competing Lagrangians for incompressible and compressible viscous flow [PDF]
Royal Society Open Science, 2019 A recently proposed variational principle with a discontinuous Lagrangian for viscous flow is reinterpreted against the background of stochastic variational descriptions of dissipative systems, underpinning its physical basis from a different viewpoint ...
F. Marner +3 more
doaj +1 more source
A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles [PDF]
, 1998 New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is used to derive the corresponding Hamiltonian formulation.
Abraham +9 more
core +2 more sources
Self dual models and mass generation in planar field theory [PDF]
, 2001 We analyse in three space-time dimensions, the connection between abelian self dual vector doublets and their counterparts containing both an explicit mass and a topological mass.
A. Coste +25 more
core +1 more source
The Fundamental Lepage Form in Two Independent Variables: A Generalization Using Order-Reducibility
Mathematics, 2022 A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting on (i) an equivalence relation “Lepage differential 2-form is closed if and
Zbyněk Urban, Jana Volná
doaj +1 more source
Updated Lagrangian for Compressible Hyperelastic Material with Frictionless Contact
Applied Mechanics, 2022 The Updated Lagrangian method for nonlinear elasticity with contact is presented. First, we describe the Total Lagrangian for a compressible Neo-Hookean material.
Cornel Marius Murea
doaj +1 more source
Extended Lagrangian approach for the defocusing nonlinear Schrödinger equation
Studies in applied mathematics (Cambridge), 2018 We study the defocusing nonlinear Schrödinger (NLS) equation written in hydrodynamic form through the Madelung transform. From the mathematical point of view, the hydrodynamic form can be seen as the Euler–Lagrange equations for a Lagrangian submitted to
Firas Dhaouadi, N. Favrie, S. Gavrilyuk
semanticscholar +1 more source
Differentially Private and Fair Deep Learning: A Lagrangian Dual Approach [PDF]
AAAI Conference on Artificial Intelligence, 2020 A critical concern in data-driven decision making is to build models whose outcomes do not discriminate against some demographic groups, including gender, ethnicity, or age.
Cuong Tran +2 more
semanticscholar +1 more source
Geometric Approaches to Lagrangian Averaging
Annual Review of Fluid MechanicsLagrangian averaging theories, most notably the generalized Lagrangian mean (GLM) theory of Andrews and McIntyre, have been primarily developed in Euclidean space and Cartesian coordinates. We reinterpret these theories using a geometric, coordinate-free formulation. This gives central roles to the flow map, its decomposition into mean and perturbation
Gilbert, AD, Vanneste, J
openaire +3 more sources