Browsing by Author "Irkıl, Nazlı"

Blow up and global existence of solution for a riser problem with logarithmic nonlinearity

Irkıl, Nazlı; Pişkin, Erhan (Yıldız Technical University, 2021)

In this work, we analyze the influence of the logarithmic source term on solutions to quasilinear riser equation. Firstly, we prove blow up results. Later, we obtain that solutions are global with negative initial energy.

Doğrusal olmayan Timoshenko denkleminin çözümlerinin matematiksel davranışı

Irkıl, Nazlı (2017)

Bu tezin ilk bölümünde tezde kullanılacak olan kısaltma ve bazı notasyonlar verilmiştir. İkinci bölümde çözümlerin patlaması ile ilgili günümüze kadar yapılan çalışmalar tarihi gelişimiyle ele alınmıştır. Üçüncü bölümde ...

Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity

Pişkin, Erhan; Irkıl, Nazlı (Ankara University Faculty of Science, 2021)

Abstract. The main goal of this paper is to study for the local existence and decay estimates results for a high-order viscoelastic wave equation with logarithmic nonlinearity. We obtain several results: Firstly, by using ...

Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities

Irkıl, Nazlı; Pişkin, Erhan (Natl Inquiry Services Centre Pty Ltd., 2022)

In this paper, we aim to understand the characteristics of dynamical behaviour for a higher order Kirchhoff type systems with logarithmic nonlinearities. Based on the potential well method, the main ingredient of this study ...

Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Irkıl, Nazlı; Pişkin, Erhan; Agarwal, Praveen (Wiley, 2022)

This work deals with a system of Kirchhoff-type equations with viscoelastic term and logarithmic nonlinearity. First, we proved the global existence by combining the potential well method with Faedo-Galerkin's procedure. ...

Logaritmik kaynak terimli dalga denklemlerin çözümlerinin davranışı

Irkıl, Nazlı (Dicle Üniversitesi, Fen Bilimleri Enstitüsü, 2021)

Bu tezin ilk bölümünde hiperbolik tipten evolüsyon denklemlerin tarihsel gelişimi ile ilgili bilgiler verilmiştir. Ayrıca bu denklemlerin günlük hayatta ve fizikte kullanım alanları ele alınmıştır. İkinci bölümde, ...

Mathematical behaviour of solutions of the Kirchhoff type equation with logarithmic nonlinearity

Pişkin, Erhan; Irkıl, Nazlı (American Institute of Physics Inc., 2019)

In this work, we consider the Kirchhoff type equation with logarithmic nonlinearity. We obtain the global existence of the solutions by using the potential well method.

Qualitative analysis of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Pişkin, Erhan; Irkıl, Nazlı (American Institute of Physics, 2021)

In paper, we consider a system of Kirchhoff type with logarithmic nonlinearity. We prove the global existence of weak solutions by using the potential well method.

Well-posedness results for a sixth-order logarithmic boussinesq equation

Pişkin, Erhan; Irkıl, Nazlı (University of Nis, 2019)

The main goal of this paper is to study for a sixth-order logarithmic Boussinesq equation. We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved global existence ...