Browsing by Author "Polat, Necat"

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Existence Results for a Nonlinear Timoshenko Equation With High Initial Energy
(Amer inst Physics, 2015) Taskesen, Hatice; Polat, Necat
The aim of the present paper is to study the initial -boundary value problem for a nonlinear Timoshenko equation with high energy initial data. Existence of global weak solutions is proved by sign preserving property of a new functional which is introduced for the potential well method.
Global Existence and Decay of Solutions for the Generalized Bad Boussinesq Equation
(Zhejiang Univ, Editorial Committee Applied Mathematics, 2013) Taskesen, Hatice; Polat, Necat; Ertas, Abdulkadir
In this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically to zero as (1 + t)(-(1/7)) when t approaches to infinity, provided the initial data are sufficiently small and regular.
On the Existence of Global Solutions for a Nonlinear Klein-Gordon Equation
(Univ Nis, Fac Sci Math, 2014) Polat, Necat; Taskesen, Hatice
The aim of this work is to study the global existence of solutions for the Cauchy problem of a Klein-Gordon equation with high energy initial data. The proof relies on constructing a new functional, which includes both the initial displacement and the initial velocity: with sign preserving property of the new functional we show the existence of global weak solutions.