Results 1 to 10 of about 1,763 (162)
Counting components in the Lagrange multiplier formulation of teleparallel theories [PDF]
European Physical Journal C: Particles and Fields, 2018 We investigate the Lagrange multiplier formulation of teleparallel theories, including f(T) gravity, in which the connection is not set to zero a priori and compare it with the pure frame theory.
Yen Chin Ong, James M. Nester
doaj +3 more sources
Lagrange formalism of memory circuit elements: Classical and quantum formulations
Physical Review B, 2012 The general Lagrange-Euler formalism for the three memory circuit elements, namely, memristive, memcapacitive, and meminductive systems, is introduced. In addition, {\it mutual meminductance}, i.e. mutual inductance with a state depending on the past evolution of the system, is defined.
Massimiliano Di Ventra +2 more
exaly +4 more sources
Solutions behavior of mechanical oscillator equations with impulsive effects under Power Caputo fractional operator and its symmetric cases [PDF]
Scientific ReportsThis study investigates the qualitative behavior of mechanical oscillator equations with impulsive effects using the generalized Power Caputo fractional operator, encompassing several known derivatives (such as Caputo–Fabrizio and Atangana–Baleanu) as ...
Hicham Saber +5 more
doaj +2 more sources
Variational Principles for Two Compound Nonlinear Equations with Variable Coefficients [PDF]
Journal of Applied and Computational Mechanics, 2021 It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems.
Xiao-Qun Cao +4 more
doaj +1 more source
Relativistic Lagrange formulation [PDF]
Journal of Mathematical Physics, 2001 It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of physical interest, in particular, those for various material
Geroch, Robert, Nagy, G., Reula, O.
openaire +3 more sources
Euler‐Lagrange Equation in Free Coordinates
Journal of Mathematics, 2022 In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
Mastourah M. Alotaibi, Sami H. Altoum
doaj +1 more source
Mathematical Modelling and Analysis, 2022 A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle ...
Mariana Chivu Cojocaru, Andaluzia Matei
doaj +1 more source
LAGRANGE FORMULATION OF THE SYMMETRIC TELEPARALLEL GRAVITY [PDF]
International Journal of Modern Physics D, 2006 We develop a symmetric teleparallel gravity model in a space–time with only the nonmetricity as nonzero, in terms of a Lagrangian quadratic in the nonmetricity tensor. We present a detailed discussion of the variations that may be used for any gravitational formulation. We seek Schwarzschild-type solutions because of its observational significance and
Adak, Muzaffer, Kalay, M., Sert, Özcan
openaire +6 more sources
The quasi-bi-Hamiltonian formulation of the Lagrange top [PDF]
Journal of Physics A: Mathematical and General, 2002 Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the possible reductions of the Poisson tensors, the vector field and its Hamiltonian functions on a four-dimensional space. We show that the vector field of the Lagrange top possesses, on the reduced phase space, a quasi-bi-Hamiltonian ...
MOROSI C, TONDO, GIORGIO SALVATORE
openaire +4 more sources
Different Groups of Variational Principles for Whitham-Broer-Kaup Equations in Shallow Water [PDF]
Journal of Applied and Computational Mechanics, 2020 Because the variational theory is the theoretical basis for many kinds of analytical or numerical methods, it is an essential but difficult task to seek explicit functional formulations whose extrema are sought by the nonlinear and complex models. By the
Xiao-Qun Cao +4 more
doaj +1 more source