Results 51 to 60 of about 133,517 (285)

A singular perturbation result for a class of periodic-parabolic BVPs

Open Mathematics
In this article, we obtain a very sharp version of some singular perturbation results going back to Dancer and Hess [Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Lecture Notes in Mathematics, Vol. 1450, Springer-Verlag,
Cano-Casanova Santiago, Fernández-Rincón Sergio, López-Gómez Julián   +2 more
doaj   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

Singular perturbation problem for the incompressible Reynolds equation

Electronic Journal of Differential Equations, 2006
We study the asymptotic behavior of the solution of a Reynolds equation which describe the behavior of the fluid between two closes surfaces as the distance between the two surfaces locally tends to zero.
Ionel Ciuperca, Imad Hafidi, Mohammed Jai   +2 more
doaj  

Robust computing technique for reaction diffusion 2D parabolic problems with shift

Mathematical Modelling and Analysis
Higher dimensional singularly perturbed problems frequently appears in many mathematical modelling. Solving such higher dimensional problem is not as much easy as possible. So order reducing technique namely alternating direction method is one such good
Veerasamy Subburayan, Srinivasan Natesan
doaj   +1 more source

From Clinic to Computation: Multiscale Bioengineering Strategies for Durable Biological Aortic Valve Replacements

Advanced Functional Materials, EarlyView.
Bioprosthetic aortic valves have revolutionized the treatment of aortic stenosis, but their durability is limited by structural valve deterioration (SVD). This review focuses on the pericardial tissue at the heart of these valves, examining how its mechanical properties and calcification drive fatigue and failure.
Gabriele Greco, Pierfrancesco Gaziano, Serena Anglese, Simone Morganti, Carlo de Vincentiis, Ferdinando Auricchio, Michele Marino, Michele Conti   +7 more
wiley   +1 more source

Perturbation and stability theory for Markov control problems [PDF]

, 1992
A unified approach to the asymptotic analysis of a Markov decision process disturbed by an ε-additive perturbation is proposed. Irrespective of whether the perturbation is regular or singular, the underlying control problem that needs to be understood is
Abbad, Mohammed, Filar, Jerzy A
core  

Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?

Advanced Functional Materials, EarlyView.
This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee, Yunseo Kim, Hyeong‐ku Jo, Dongjoon Yoon, Byeonghyeok Im, WonJeong Yu, Eui‐Rim On, Changhwan Lee   +7 more
wiley   +1 more source

Positive Solutions for Resonant (p, q)-equations with convection

Advances in Nonlinear Analysis, 2020
We consider a nonlinear parametric Dirichlet problem driven by the (p, q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. A parametric one consisting of the sum of a singular term and of a drift
Liu Zhenhai, Papageorgiou Nikolaos S.
doaj   +1 more source

Aggregation-disaggregation algorithm for e2-singularly perturbed limiting average Markov control problems [PDF]

, 1991
In this paper we consider a singular perturbation of order 2 for a Markov decision process with the limiting average reward criterion. We define a singular perturbation of order 2 in the following sense: we assume that the underlying process is composed ...
Abbad, Mohammed, Filar, Jerzy A
core  

Interaction of sine-Gordon kinks with defects: The two-bounce resonance

, 2003
A model of soliton-defect interactions in the sine-Gordon equations is studied using singular perturbation theory. Melnikov theory is used to derive a critical velocity for strong interactions, which is shown to be exponentially small for weak defects ...
Anninos, Campbell, Campbell, Campbell, Delshams, Diminnie, Diminnie, Fei, Goodman, Goodman, Haberman, Haberman, Kruskal, Malomed, McLaughlin, Melnikov, Peyrard, Richard Haberman, Roy H. Goodman, Tan   +19 more
core   +1 more source