Results 61 to 70 of about 1,923 (167)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9207-9224, 30 May 2025.ABSTRACT We consider a Maxwell system on ℝ3$$ {\mathbb{R}}^3 $$ with highly oscillating periodic coefficients. It is known that the solutions converge in the weak‐ ∗$$ \ast $$ topology of L∞(0,T;L2(ℝ3))$$ {L}^{\infty}\left(0,T;\kern0.3em {L}^2\left({\mathbb{R}}^3\right)\right) $$ to the solution of a similar problem with constant coefficients given as ...
Juan Casado‐Díaz +2 more
wiley +1 more source
Variational approach to multimode nonlinear optical fibers
Nanophotonics, Volume 14, Issue 6, Page 805-813, April 2025.Abstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Francesco Lorenzi, Luca Salasnich
wiley +1 more source
Intelligibilité et historicité (Science, rationalité, histoire) [PDF]
, 2000 Conférence à la séance de clôture sur "l'Histoire des sciences dans le patrimoine mondial", du Colloque Les grands rendez-vous de la science et de l'histoire, Palais de la Découverte et UNESCO, Paris, 20-25 mars 2000 (le 25.3), et à la séance sur ...
Paty, Michel
core +2 more sources
Wave detected by LIGO is not gravitational wave [PDF]
General Relativity defines gravity like the metric of a Lorentzian manifold. Einstein formulated spacetime as quality structural of gravity, i.e, circular definition between gravity and spacetime, also Einstein denoted "Space and time are modes by which ...
Guillen Gomez, Alfonso Leon
core
In-Vehicle Visible Light Communications Data Transmission System Using Optical Fiber Distributed Light: Implementation and Experimental Evaluation. [PDF]
Sensors (Basel), 2022 Beguni C +8 more
europepmc +1 more source
Electronic Journal of Differential Equations, 2016 Summary: We give necessary and sufficient conditions for the periodicity of solutions of mild solutions to the iterated higher-order differential equation \[ \prod_{j=1}^{n}(\frac{d}{dt}-A_j)u(t)=f(t), \quad 0 \leq t\leq T, \] in a Hilbert space. Our results are illustrated with examples and applications.
Nezam Iraniparast, Lan Nguyen
openaire +2 more sources
Controlled Lagrangians and Stabilization of the Discrete Cart-Pendulum System [PDF]
, 2006 Matching techniques are developed for discrete mechanical systems with symmetry. We describe new phenomena that arise in the controlled Lagrangian approach for mechanical systems in the discrete context.
Bloch, Anthony M. +3 more
core
Boundary-value problems for wave equations with data on the whole boundary
Electronic Journal of Differential Equations, 2016 In this article we propose a new formulation of boundary-value problem for a one-dimensional wave equation in a rectangular domain in which boundary conditions are given on the whole boundary.
Makhmud A. Sadybekov +1 more
doaj
ESA's Cometary Mission Rosetta-Re-Characterization of the COSAC Mass Spectrometry Results. [PDF]
Angew Chem Int Ed Engl, 2022 Leseigneur G +14 more
europepmc +1 more source
"Audacity or Precision": The Paradoxes of Henri Villat's Fluid Mechanics in Interwar France [PDF]
, 2010 In Interwar France, Henri Villat became the true leader of theoretical researches on fluid mechanics. Most of his original work was done before the First World War; it was highly theoretical and its applicability was questioned.
David, Aubin
core +2 more sources