12 citations · 19 across the 4 of their papers we have counts for
5 papers
Equivalence Groups of Inhomogeneous Hyperelasticity
Saadet S. Özer
Equivalence groups associated with the field equations of arbitrary motions of inhomogeneous hyperelastic solids are investigated. The explicit forms of the infinitesimal generator…
Wave Selection at an -Hopf Bifurcation in Conservative Two-Component PDE Systems
Saadet S. Özer, Taylan Şengül, Burhan Tiryakioglu
At an -equivariant Hopf bifurcation a spatially periodic system selects between traveling waves and standing waves, and which branch appears and whether it is stable is decid…
Admissible Equivalence Transformations for Linearization of Nonlinear Wave Type Equations
Saadet S. Özer
In the present paper we consider a general family of two dimensional wave equations which represents a great variety of linear and nonlinear equations within the framework of the t…
Equivalence Groups and Differential Invariants for (2+1) dimensional Nonlinear Diffusion Equation
Saadet Özer
(2+1) dimensional diffusion equation is considered within the framework of equivalence transformations. Generators for the group are obtained and admissible transformations between…
Stability and transitions of the second grade Poiseuille flow
Saadet Ozer, Taylan Sengul
In this study we consider the stability and transitions for the Poiseuille flow of a second grade fluid which is a model for non-Newtonian fluids. We restrict our attention to flow…