Güncel Gönderiler: Matematik Bölümü / Department of Mathematics
Toplam kayıt 240, listelenen: 41-60
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Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid
(Wit Press, 2002)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 reductive perturbation ... -
Generalized circles in Weyl spaces and their conformal mapping
(Kossuth Lajos Tudomanyegyetem, Matematikai Intezet Nagyerdeikorut, 2002-02)In this paper, generalized circles in a Weyl space are defined and the system of differential equations satisfied by them is obtained. Furthermore, after having given the necessary and sufficient conditions for generalized ... -
On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case
(2005-06)By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some ... -
On complex solutions of the eikonal equation
(IEEE, 2007)In this paper a new approach of complex rays in an inhomogeneous medium is presented. Complex rays are complex solutions of the eikonal equation, the main equation of the geometical optics. It is shown that solving the ... -
Higher order approximations in reductive perturbation method: Strongly dispersive waves
(2005-08)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... -
“International conference on vibration problems” ICOVP-2007 and a short history
(Springer Science and Business Media, LLC, 2008)[No abstract available] -
Beam tracing theory in Minkowski space
(IEEE, 2011)This paper provides a novel approach to beam theory in homogeneous lossless mediun. The main idea is to interpret the classic eikonal equation in three dimensional Minkowski space. -
Linearization of second-order jump-diffusion equations
(Springer Berlin Heidelberg, 2013-03-01)We give the exact linearization criterion for the second-order jump-diffusion equations. We also present several illustrative examples. -
Notes on starlike log-harmonic functions of order α
(2013)For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike log-harmonic functions of order ? (0 ? ? < 1) are considered. The object of ... -
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... -
Close-to-convex functions defined by fractional operator
(2013)Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ C||z|<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ... -
Modulational instability of three dimensional waves in a plasma with vortex electron distribution
(Işık University Press, 2019-02-10)In the present work, employing the three dimensional equations of a plasma composed of a cold electron fluid, hot electrons obeying a trapped / vortex-like distribution, and stationary ions, we study the amplitude modulation ... -
On the third boundary value problem for parabolic equations in a non-regular domain of Rᴺ +1
(Işık University Press, 2016)In this paper, we look for sufficient conditions on the lateral surface of the domain and on the coefficients of the boundary conditions of a N−space dimensional linear parabolic equation, in order to obtain existence, ... -
Variable coefficient Korteweg-deVries equation in fluid-filled elastic tubes
(Technical University Liberec, 2011-09-05)In the present work, treating the arteries as a prestressed thin elastic tube with a stenosis and the blood as an inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium by use of the ... -
Asymptotic solutions of love wave propagation in a covered half-space with inhomogeneous initial stresses G(3)(1)
(Işık University Press, 2015)The dispersive behavior of Love waves in an elastic half-space substrate covered by an elastic layer under the effect of inhomogeneous initial stresses has been investigated. Classical linearized theory of elastic waves ... -
Cross-sectional thermoacoustic imaging using multi-layer cylindrical media
(IEEE, 2017-11-10)For cross-sectional two-dimensional thermoacustic imaging of breast and brain, we explored solution of the wave equation using layered tissue model consisting of concentric annular layers on a cylindrical cross-section. ... -
Topological Hopf algebras and their Hopf-cyclic cohomology
(Taylor and Francis, 2019-01-29)A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dimensional Lie algebras. Furthermore, the ... -
An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium
(Springer, 2019-02-20)We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multi-layer planar medium and defined initial conditions, continuity ... -
Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
(Elsevier B.V., 2019-06)In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the ... -
Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions
(Pergamon-Elsevier Science Ltd, 2019-04)In the present work, employing the nonlinear field equations of a hot dusty plasma in the presence of nonthermal electrons and trapped ions, we studied the amplitude modulation of nonlinear waves in such a plasma medium ...