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Browsing Mathematics / Matematik by Author "Yılmaz, Oğuz"
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Asymptotic behavior of linear impulsive integrodifferential equations
Akhmet, Marat; Tleubergenova, M. A.; Yılmaz, Oğuz (Elsevier, 200808)Asymptotic equilibria of linear integrodifferential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integrodifferential equations are ... 
Hamiltonian dynamics of N vortices in concentric annular region
Pashaev, Oktay; Yılmaz, Oğuz (IOP Publishing, 201105)The problem of N vortex dynamics in annular domain is considered. The region is canonical one and allows by conformal mapping apply results to an arbitrary position of two cylinders in the plane. Using previous solution, ... 
The initial stage of dambreak flow
Korobkin, Alexandre; Yılmaz, Oğuz (Springer, 2009)The liquid flow and the free surface shape during the initial stage of dam breaking are investigated. The method of matched asymptotic expansions is used to derive the leadingorder uniform solution of the classical dambreak ... 
The initial stage of dambreak flow of two immiscible fluids. Linear analysis of global flow
Yılmaz, Oğuz; Korobkin, Alexander A.; Iafrati, Alessandro (Elsevier, 201308)Twodimensional impulsive flow of two immiscible fluids is studied within the potential flow theory. Initially the fluids of different depths and different densities are at rest and separated with a thin vertical plate. ... 
Linear wave interaction with a vertical cylinder of arbitrary cross section: An asymptotic approach
Dişibüyük, Nazile Buğurcan; Korobkin, A. A.; Yılmaz, Oğuz (American Society of Civil Engineers, 201709)An asymptotic approach to the linear problem of regular water waves interacting with a vertical cylinder of an arbitrary cross section is presented. The incident regular wave was onedimensional, water was of finite depth, ... 
Motion of vortices outside a cylinder
Tülü, Serdar; Yılmaz, Oğuz (American Institute of Physics Publishing, 201012)The problem of motion of the vortices around an oscillating cylinder in the presence of a uniform flow is considered. The Hamiltonian for vortex motion for the case with no uniform flow and stationary cylinder is constructed, ... 
A new dynamical model of brainstorming: Linear, nonlinear, continuous (simultaneous) and impulsive (sequential) cases
Coşkun, Hamit; Yılmaz, Oğuz (Elsevier, 200908)In this paper, we extended the linear dynamical model of [Brown, V., Paulus, P. B. (1996). A simple dynamic model of social factors in group brainstorming. Small Group Research, 27, 91114] on two accounts. First, we ... 
Powerseries solution for the twodimensional inviscid flow with a vortex and multiple cylinders
Pashaev, Oktay; Yılmaz, Oğuz (Springer, 2009)The problem of a point vortex and N fixed cylinders in a twodimensional inviscid fluid is studied and an analyticalnumerical solution in the form of an infinite power series for the velocity field is obtained using complex ... 
Second order diffraction of water waves by a bottom mounted vertical circular cylinder and some related numerical problems
Yılmaz, Oğuz (American Society of Mechanical Engineers, 200702)A Hankel transformation is used to obtain the second order diffraction solution of vertical cylinder of circular cross section. The improper integral over the free surface is tackled carefully. The singularity at the free ... 
Vortex images and qelementary functions
Pashaev, Oktay; Yılmaz, Oğuz (IOP Publishing, 200804)In the present paper, the problem of vortex images in the annular domain between two coaxial cylinders is solved by the qelementary functions. We show that all images are determined completely as poles of the qlogarithmic ...