FEF  Bildiri Koleksiyonu  Matematik Bölümü / Department of Mathematics
Recent Submissions

On pseudoumbilical rotational surfaces with pointwise 1type gauss map in E2(4)
(Istanbul Technical Univ, 20170101)In this work, we study two families of rotational surfaces in the pseudo Euclidean space 1E4 with profile curves lying in 2 dimensional planes. First, we obtain a classification of pseudo umbilical spacelike surfaces and ... 
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed kortewegde vries equation
(Springer Science and Business Media, LLC, 2008)In the present work, treating the artery as a prestressed thinwalled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ... 
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 ... 
“International conference on vibration problems” ICOVP2007 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. 
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 ... 
Variable coefficient KortewegdeVries equation in fluidfilled elastic tubes
(Technical University Liberec, 20110905)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 ... 
Crosssectional thermoacoustic imaging using multilayer cylindrical media
(IEEE, 20171110)For crosssectional twodimensional 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 crosssection. ... 
Thermoacoustic image reconstruction based on layered tissue model
(SPIEInt Soc Optical Engineering, 2017)We derived analytical forward and inverse solution of thermoacoustic wave equation for inhomogeneous multi layered planar and cylindrical mediums with the source distribution existing in all layers. These solutions are ... 
Çok katmanlı silindirik yapılar için termoakustik dalga denkleminin ters çözümü
(IEEE, 20170627)Termoakustik görüntüleme, elektromanyetik enerji uyarımı ile ultrason dalgaları oluşumunu sağlayan yeni bir yöntemdir. Bu sistemin görüntüleme işlemi termoakustik dalga denkleminin ters çözümüne dayanmaktadır. Ters çözümde ... 
Çok katmanlı düzlemsel ortam için termoakustik dalga denkleminin çözümü
(IEEE, 20170627)Bu çalışmada, farklı akustik parametrelere sahip çok katmanlı düzlemsel ortam için tüm katmanlarda kaynak dağılımı olduğu varsayımı altında termoakustik dalga denkleminin analitik olarak düz ve ters çözümü elde edilmiştir. ... 
A method for calculating profiles of a dielectric thick lenses
(IEEE, 2001)Hasanov and Polat (see International Journal of Electronics and Communications (AEO), vol.54, no.2, p.109113, 2000) investigated the transformation of a plane wavefront to another plane wavefront after passing through a ... 
Two reflector non symmetric shaped antenna systems
(IEEE, 2000)Two reflector antenna systems with non symmetric reflecting surfaces under GO approximation are investigated. It is shown, that the problem of forming desired far field pattern leades to solving the system of partial ... 
A function of direction in a Weyl subspace associated with a set of orthogonal vector fields
(World Scientific Publ Co Pte Ltd, 2003)Let Wm be an mdimensional subspace of an ndimensional Weyl space Wn. Suppose that (1)v, (2)v,..., (m)v are mutually orthogonal smooth vector fields in Wm and that v is a nontangential smooth vector field defined on ... 
Complex and real rays in three dimensional Minkowski space
(IEEE, 2002)A new approach to the theory of complex rays is proposed. It is shown that the Minkowski space is more appropriate for describing these rays than the usual, Euclidian spaces. Some illustrative examples are represented. 
Travelling waves in a prestressed elastic tube filled with a fluid of variable viscosity
(Springer, 2008)In this work, treating the artery as a prestressed thin elastic tube with variable radius and the blood as all incompressible Newtonian fluid with variable viscosity, the propagation of nonlinear waves ill Such a composite ... 
Nonlinear waves in fluidfilled elastic tubes: A model to large arteries
(Springer, 2007)In the present work, by treating the arteries as a prestressed thin walled elastic tube of variable radius and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in ... 
Quasiconformal harmonic mappings related to Janowski alphaspirallike functions
(Amer Inst Physics, 2014)Let f = h(z) + g(z) be a univalent sensepreserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... 
Bounded harmonic mappings related to starlike functions
(Amer Inst Physics, 20141217)Let f = h(z) + <(g(z))over bar> be a sensepreserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z)  M vertical ...