Results 101 to 110 of about 32,160 (207)
, 2006 Adjoint consistency - in addition to consistency - is the key requirement for discontinuous Galerkin (DG) discretizations to be of optimal order in L2 as well as measured in terms of target functionals.
Hartmann, Ralf
core
Utilization of Euler-Lagrange Equations in Circuits with Memory Elements [PDF]
Radioengineering, 2016 It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system.
Z. Biolek, D. Biolek, V. Biolkova
doaj
Optimal control of nonsmooth system governed by quasi-linear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.
Gong Liutang, Fei Pusheng
doaj +1 more source
On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS
. We study very weak solutions to scalar Euler-Lagrange equations associated with quadratic convex functionals. We investigate whether W1,1 solutions are necessarily W 1,2 Nash and Schauder applicable.
Johansson, Carl Johan Peter
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On Lagrangians with Reduced-Order Euler-Lagrange Equations
, 2018 If a Lagrangian defining a variational problem has order k, then its Euler-Lagrange equations generically have order 2k. This paper considers the case where the Euler-Lagrange equations have order strictly less than 2k, and shows that in such a case the ...
Saunders, D.
core +1 more source
Phase Space of Rolling Solutions of the Tippe Top
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit ...
S. Torkel Glad +2 more
doaj
Work Versus Force: Simultaneous Processes for Describing Interactions
Advanced Physics Research, Volume 5, Issue 6, June 2026.ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies +2 more
wiley +1 more source
On global regularity of 2D generalized magnetohydrodynamic equations
, 2013 In this article we study the global regularity of 2D generalized magnetohydrodynamic equations (2D GMHD), in which the dissipation terms are –ν(–Δ)αu and –κ(–Δ)βb. We show that smooth solutions are global in the following three cases: α≥1/2, β≥1; 0≤α≤1/2,
Tran, Chuong Van +2 more
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Fractional Euler–Lagrange Equations Under Periodic and Antiperiodic Boundary Conditions
Fractal and FractionalIn this work, we derive necessary optimality conditions for a class of fractional variational problems involving Caputo-type derivatives. We consider functionals defined on appropriate spaces of absolutely continuous functions and study both periodic and
Ricardo Almeida
doaj +1 more source