Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Particle dynamics in the KdV approximation
(Elsevier Science BV, 201212)The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ... 
Positive solutions for a sumtype singular fractional integrodifferential equation with mpoint boundary conditions
(Politechnica University of Bucharest, 2017)We study the existence and uniqueness of positive solutions for a sumtype singular fractional integrodifferential equation with mpoint boundary condition. Also, we provide an example to illustrate our main result. 
Propagation of weakly nonlinear waves in fluidfilled thick viscoelastic tubes
(Elsevier Science Inc., 199910)In the present work, we studied the propagation of smallbutfiniteamplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the ... 
Propagation of weakly nonlinear waves in fluidfilled thin elastic tubes
(Elsevier Science, 20021125)In the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, ... 
Pseudospherical submanifolds with 1type pseudospherical gauss map
(Birkhauser Verlag AG, 20160528)In this work, we study pseudoRiemannian submanifolds of a pseudosphere with 1type pseudospherical Gauss map. First, we classify Lorentzian surfaces in a 4dimensional pseudosphere (Formula presented.) with index s, ... 
Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 201407)Let f = h(z) + <(g(z))over bar> be a univalent sensepreserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ... 
Revisiting the headon collision problem between two solitary waves in shallow water
(PergamonElsevier Science Ltd, 201503)Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ... 
Reducing a generalized DaveyStewartson system to a nonlocal nonlinear Schrodinger equation
(PergamonElsevier Science Ltd, 20090730)In the present study, we consider a generalized (2 + 1) DaveyStewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... 
Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians
(Amer Inst Physics, 201801)We present SkinnerRusk and Hamiltonian formalisms of second order degenerate Clement and SariogluTekin Lagrangians. The DiracBergmann constraint algorithm is employed to obtain Hamiltonian realizations of Lagrangian ... 
Reflection and transmission of nonlinear waves from arterial branching
(Elsevier Ltd, 200610)In this work, treating the arteries as a prestressed thin walled elastic tube and the blood as an inviscid fluid, we have studied the reflection and transmission of nonlinear waves from arterial branching, through the use ... 
Rotational Weingarten surfaces in hyperbolic 3space
(Birkhauser, 20200401)We study rotational Weingarten surfaces in the hyperbolic space H3( 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves ... 
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 202102)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... 
Semiregular trees with minimal Laplacian spectral radius
(Elsevier Inc, 20100415)A semiregular tree is a tree where all nonpendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter ... 
Slant curves in the Lorentzian warped product manifold  I× fE²
(Birkhauser, 20220315)In this work, we study slant curves in the 3dimensional Lorentzian warped product  I× fE², where E² is a 2dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... 
Solitary waves in a fluidfilled thin elastic tube with variable crosssection
(Elsevier B.V., 200708)The present work treats the arteries as a thin walled prestressed elastic tube with variable crosssection and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluidfilled elastic ... 
Solitary waves in a tapered prestressed fluidfilled elastic tube
(Birkhauser Verlag AG, 200403)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in ... 
Solitary waves in elastic tubes filled with a layered fluid
(PergamonElsevier Science, 200104)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... 
Solitary waves in fluidfilled elastic tubes: weakly dispersive case
(PergamonElsevier Science, 200103)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, the propagation of weakly nonlinear waves, in ... 
Some boundary Harnack principles with uniform constants
(Springer Science and Business Media B.V., 20210410)We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods.