Results 51 to 60 of about 104,752 (294)
Singular perturbation of optimal control problems on multi-domains [PDF]
, 2013 International audienceThe goal of this paper is to study a singular perturbation problem in the framework of optimal control on multi-domains. We consider an optimal control problem in which the controlled system contains a fast and a slow variables ...
Forcadel, Nicolas, Rao, Zhiping
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Advanced Functional Materials, EarlyView.Butterfly wing scales are intricate cuticular functional nanosctructures. This perspective suggests that spatially varying material properties, cytoskeletal constraints, and growth‐driven mechanical instabilities shape the resulting nanoscale architectures created from single cells.
Anupama Prakash +10 more
wiley +1 more source
Multi‐Scale Interface Engineering of MXenes for Multifunctional Sensory Systems
Advanced Functional Materials, EarlyView.MXenes, as two‐dimensional transition metal carbides and nitrides, demonstrate remarkable capabilities for multifunctional sensing applications. This review systematically examines multi‐scale interface engineering approaches that enhance sensing performance, enable diverse detection functionalities, and improve system‐level compatibility in MXene ...
Jiaying Liao, Sin‐Yi Pang, Jianhua Hao
wiley +1 more source
Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain
Advances in Nonlinear Analysis, 2017 In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain.
Jung Chang-Yeol +2 more
doaj +1 more source
IEEE Access, 2020 The fuzzy controller design method for coal-fired power generation systems (CFPGSs) based on the singular perturbation theory is proposed in this paper. By analyzing the characteristics of two-time-scale, nonlinearity and input saturation for CFPGSs and ...
Yifang Yan, Chunyu Yang, Xiaoping Ma
doaj +1 more source
Solution of reduced equations derived with singular perturbation methods
, 2008 For singular perturbation problems in dynamical systems, various appropriate singular perturbation methods have been proposed to eliminate secular terms appearing in the naive expansion.
A. H. Nayfeh +6 more
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Nash--Moser iteration and singular perturbations [PDF]
, 2011 We present a simple and easy-to-use Nash--Moser iteration theorem tailored for singular perturbation problems admitting a formal asymptotic expansion or other family of approximate solutions depending on a parameter $\eps\to 0.$ The novel feature is to ...
Texier, Benjamin, Zumbrun, Kevin
core +2 more sources
Advanced Functional Materials, EarlyView.ABSTRACT Materials that can deform, sense, and autonomously generate power in response to wireless magnetic fields, through both magnetic‐actuated shape transformation and charge generation, are an emerging focus in advanced functional materials research.
Zhi Zhao, Xiaojia Shelly Zhang
wiley +1 more source
Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic Journal of Differential Equations, 2006 We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite +1 more
doaj
Homotopy perturbation method for the hypersingular integral equations of the first kind
Ain Shams Engineering Journal, 2018 Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an approximate solution of hyper-singular integral equations of the first kind. Convergence and error estimate of HPM are obtained.
Zainidin K. Eshkuvatov +3 more
doaj +1 more source