Başlık için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 218, listelenen: 35-54
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Contribution of higher order terms to the nonlinear shallow water waves
(Işık University Press, 2012-05-12)In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the ... -
Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case
(Pergamon-Elsevier Science, 2003-07)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, and then utilizing the modified reductive ... -
Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
(IOP Publishing Ltd, 2004-10-08)In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ... -
Cryptanalysis of Fridrich's chaotic image encryption
(World Scientific Publishing, 2010-05)We cryptanalyze Fridrich's chaotic image encryption algorithm. We show that the algebraic weaknesses of the algorithm make it vulnerable against chosen-ciphertext attacks. We propose an attack that reveals the secret ... -
Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
(Amer Inst Physics, 2018-04)We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations ... -
Dendrimers are the unique chemical trees with maximum spectral radius
(Univ Kragujevac, 2012)It is shown that dendrimers have maximum spectral radius and maximum Collatz-Sinogowitz index among all chemical trees of given size. The result is also generalized for the class of chemical trees with prescribed number ... -
Discovering cis-regulatory modules by optimizing barbecues
(Elsevier Science Bv, 2009-05-28)Gene expression in eukaryotic cells is regulated by a complex network of interactions, in which transcription factors and their binding sites on the genomic DNA play a determining role. As transcription factors rarely, if ... -
Discrete dynamical systems over double cross-product Lie groupoids
(World Scientific, 2021-03)Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on ... -
Dynamic extension of a compressible nonlinearly elastic membrane tube
(Oxford Univ Press, 2005-02)The dynamic response of an isotropic compressible hyperelastic membrane tube is considered when one end is fixed and the other is subjected to a suddenly applied dynamic extension. The equations governing dynamic axially ... -
The dynamic response of an incompressible non-linearly elastic membrane tube subjected to a dynamic extension
(Pergamon-Elsevier Science Ltd, 2004-06)The dynamic response of an isotropic hyperelastic membrane tube, subjected to a dynamic extension at its one end, is studied. In the first part of the paper, an asymptotic expansion technique is used to derive a non-linear ... -
The effect of a bump on wave propagation in a fluid-filled elastic tube
(Pergamon-Elsevier Science Ltd., 2004-01)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a ... -
Epidemiyolojideki kompartman modellerinin eşlenmiş Hamilton analizi
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 2021-01-13)Epidemiyolojideki SIR, SEIR, 2-SIR ve 2-SEIR modellerinin Hamilton formülasyonu verildi. Eşlenmiş Lie-Poisson sistemleri yazıldı. SIR ve SEIR modellerinin eşlenmiş Lie-Poisson sistemi oldukları gösterildi. Bir Lie cebiri ... -
Eshelby tensors for a spherical inclusion in microstretch elastic fields
(Elsevier Ltd, 2006-08)In the present work, microelastic and macroelastic fields are presented for the case of spherical inclusions embedded in an infinite microstretch material using the concept of Green's functions. The Eshelby tensors are ... -
Eşlenmiş Lie grupları üzerindeki Lagrange fark denklemleri
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 2021-03-09)Bu makalede, kesikli (discrete) dinamiğin Lagrange formülasyonu eşlenmiş (matched pair) Lie grupları üzerinde çalışılmıştır. Sonuç olarak, karşılıklı etkileşim altındaki iki sistemin kolektif davranışını belirleyen eşlenmiş ... -
Exact solution of perturbed Kdv equation with variable dissipation coefficient
(Ministry Communicatios & High Technologies Republic Azerbaijan, 2017)In the present work we study the integrability condition for a variable coefficient Korteweg-deVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables ... -
Extended reductive perturbation method and its relation to the re-normalization method
(Walter De Gruyter GMBH, 2013-10-25)In this work, by utilizing the extended reductive perturbation method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and formally obtained the governing evolution equations of various ... -
An extension of a boundedness result for singular integral operators
(Polska Akademia Nauk, 2016-03-30)We study some operators originating from classical Littlewood–Paley the- ory. We consider their modification with respect to our discontinuous setup, where the un- derlying process is the product of a one-dimensional ... -
Extension of mikhlin multiplier theorem to fractional derivatives and stable processes
(Walter De Gruyter GMBH, 2018-04-25)In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection ... -
Facility placement with sub-aisle design in an existing layout
(Elsevier Science BV, 2009-08-16)In this paper, we consider the integration of facility placement in an existing layout and the configuration of one or two connecting sub-aisles. This is relevant, for example, when placing a new machine/department on a ... -
Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
(Pergamon-Elsevier Science Ltd, 2009-11)In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate ...