Results 1 to 10 of about 101 (54)
Dynamics and Stability of Low-Reynolds-Number Swimming Near a Wall [PDF]
SIAM Journal on Applied Dynamical Systems, 2011 The locomotion of microorganisms and tiny artificial swimmers is governed by low-Reynolds-number hydrodynamics, where viscous effects dominate and inertial effects are negligible.
Yizhar Or, Richard M Murray
exaly +3 more sources
Ain Shams Engineering Journal, 2021 This research explores the complex and physical behavior, using four different theoretical methods, of water wave propagation with surface tension. A modern Benneye-Luke (BL) algorithm is used to identify a variety of unobtained distinct wave solution ...
Mostafa M.A. Khater +3 more
doaj +1 more source
The agreement between novel exact and numerical solutions of nonlinear models
Partial Differential Equations in Applied Mathematics, 2023 Nonlinear models (NLMs), being an important topic in mathematical physics, have attracted a lot of attention in the international research community because they have numerous uses in human life. These NLMs are typically implemented to illuminate various
Md. Nur Alam, S. M. Rayhanul Islam
doaj +1 more source
Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
doaj +1 more source
On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians [PDF]
, 2023 The author is grateful to H. Eliasson, T. Seara, and F. Trujillo for valuable discussions and to the referee for useful comments. This work has been supported by the Juan de la Cierva-Formación Program (FJC2021-044720-I) and the Severo Ochoa and María de
Farré Puiggalí, Gerard
core +1 more source
On the dynamics of coupled oscillators and its application to the stability of suspension bridges [PDF]
, 2022 We describe and provide a computer assisted proof of the bifurcation graph for a system of coupled nonlinear oscillator described in a model of a bridge.
Gianni Arioli
core +1 more source
Perihelion librations in the secular three--body problem [PDF]
, 2020 A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the averaged, planar three--body problem, the existence of a plenty of motions ...
Pinzari, Gabriella
core +2 more sources
Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium [PDF]
, 2016 The paper deals with the problem of existence of a convergent "strong" normal form in the neighbourhood of an equilibrium, for a finite dimensional system of differential equations with analytic and time-dependent non-linear term.
Alessandro Fortunati +9 more
core +3 more sources
Global Kolmogorov tori in the planetary N-body problem. Announcement of result [PDF]
, 2014 We improve a result in [L. Chierchia and G. Pinzari, Invent. Math. 2011] by proving the existence of a positive measure set of $(3n-2)$--dimensional quasi--periodic motions in the spacial, planetary $(1+n)$--body problem away from co--planar, circular ...
Pinzari, Gabriella
core +3 more sources
Mini-Workshop: Mathematics of Dissipation – Dynamics, Data and Control (hybrid meeting) [PDF]
, 2021 Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting via port-Hamiltonian systems ...
core +2 more sources