Results 71 to 80 of about 1,078,761 (224)

Singular viscoelastic perturbation to soft lubrication

Physical Review Research
Soft lubrication has been shown to drastically affect the mobility of an object immersed in a viscous fluid in the vicinity of a purely elastic wall. In this theoretical article, we develop a minimal model incorporating viscoelasticity, carrying out a ...
Bharti, Quentin Ferreira, Aditya Jha, Andreas Carlson, David S. Dean, Yacine Amarouchene, Tak Shing Chan, Thomas Salez   +7 more
doaj   +1 more source

Existence of Solitary Waves and Periodic Waves to a Perturbed Generalized KdV Equation

Mathematical Modelling and Analysis, 2014
In this paper, the existence of solitary waves and periodic waves to a perturbed generalized KdV equation is established by applying the geometric singular perturbation theory and the regular perturbation analysis for a Hamiltonian system.
Weifang Yan, Zhengrong Liu, Yong Liang
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Canard Cycles and Poincar\'e Index of Non-Smooth Vector Fields on the Plane

, 2010
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a subclass of non-smooth vector fields we provide necessary and sufficient conditions for the existence of canard kind solutions.
C. A. Buzzi, CA Buzzi, CA Buzzi, J Llibre, J Sotomayor, J Sotomayor, MA Teixeira, N Fenichel, P Szmolyan, P. R. da Silva, T. de Carvalho, VS Kozlova   +11 more
core   +1 more source

AN INTRODUCTION TO SINGULAR PERTURBATIONS

Natural Resource Modeling, 2000
ABSTRACT. In this article we discuss the asymptotic analysis of so‐called singularly perturbed differential equations. We begin by discussing some very simple nonmathematical examples, and then proceed to two mathematical examples, namely, the well‐known example of Friedrichs and a problem of John Mahony's.
openaire   +2 more sources

A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems

International Journal of Differential Equations, 2011
This paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of ideas and methods of singular perturbation theory.
Manoj Kumar, Parul
doaj   +1 more source

Singular perturbations for a subelliptic operator [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2018
We study some classes of singular perturbation problems where the dynamics of the fast variables evolve in the whole space obeying to an infinitesimal operator which is subelliptic and ergodic. We prove that the corresponding ergodic problem admits a solution which is globally Lipschitz continuous and it has at most a logarithmic growth at infinity ...
Paola Mannucci, Claudio Marchi, Nicoletta Tchou   +2 more
openaire   +4 more sources

Computational singular perturbation analysis of brain lactate metabolism.

PLoS ONE, 2019
Lactate in the brain is considered an important fuel and signalling molecule for neuronal activity, especially during neuronal activation. Whether lactate is shuttled from astrocytes to neurons or from neurons to astrocytes leads to the contradictory ...
Dimitris G Patsatzis, Efstathios-Al Tingas, Dimitris A Goussis, S Mani Sarathy   +3 more
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The failure of cosmological perturbation theory in the new ekpyrotic and cyclic ekpyrotic scenarios

, 2002
Cosmological perturbation theory fails in the new ekpyrotic and cyclic ekpyrotic scenarios, before the scale factor of the Universe reaches zero. As a result, a recently-proposed recipe for evolving the curvature perturbation through the bounce in these ...
Bardeen, Bardeen, Brandenberger, Brustein, Buonanno, David H. Lyth, Enqvist, Guth, Kallosh, Khoury, Khoury, Khoury, Kodama, Lidsey, Lyth, Lyth, Lyth, Lyth, Lyth, Lyth, Mukhanov, Olson, Sasaki, Steinhardt, Steinhardt, Veneziano   +25 more
core   +1 more source

A study of the application of singular perturbation theory [PDF]

A hierarchical real time algorithm for optimal three dimensional control of aircraft is described. Systematic methods are developed for real time computation of nonlinear feedback controls by means of singular perturbation theory. The results are applied
Carroll, J. V., Mehra, R. K., Sajan, S., Washburn, R. B.   +3 more
core   +1 more source

Axiomatic Approach in the Analytic Theory of Singular Perturbations

Axioms, 2020
Introduced by S.A. Lomov, the concept of a pseudoanalytic (pseudoholomorphic) solution laid the foundation for the development of the singular perturbation analytical theory.
Margarita Besova, Vasiliy Kachalov
doaj   +1 more source