1 citations · 2 across the 10 of their papers we have counts for
13 papers
The complex Ginzburg-Landau equation on a finite interval and chaos suppression via a finite-dimensional boundary feedback stabilizer
Dionyssios Mantzavinos, Türker Özsarı, Kemal Cem Yılmaz
In this paper, we study the well-posedness and boundary stabilization of the initial-boundary value problem for the complex Ginzburg-Landau (CGL) equation on a finite interval. Fir…
Fokas method for linear convection-diffusion equation with time-dependent coefficients and its extension to other evolution equations
Konstantinos Kalimeris, Türker Özsarı
In this paper, we study a linear convection-diffusion equation with time-dependent coefficients on a bounded interval, motivated by associated physical problems. We apply and adapt…
Stabilization of linear waves with inhomogeneous Neumann boundary conditions
Türker Özsarı, İdem Susuzlu
We study linear damped and viscoelastic wave equations evolving on a bounded domain. For both models, we assume that waves are subject to an inhomogeneous Neumann boundary conditio…
Low-Regularity Solutions of the Nonlinear Schrödinger Equation on the Spatial Quarter-Plane
Dionyssios Mantzavinos, Türker Ozsarı
The Hadamard well-posedness of the nonlinear Schrödinger equation with power nonlinearity formulated on the spatial quarter-plane is established in a low-regularity setting with So…
Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line
Türker Özsarı, Kıvılcım Alkan, Konstantinos Kalimeris
In this paper, we prove dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line. Proofs of such estimat…
Numerical computation of Neumann controls for the heat equation on a finite interval
Konstantinos Kalimeris, Türker Özsarı, Nikolaos Dikaios
This paper presents a new numerical method which approximates Neumann type null controls for the heat equation and is based on the Fokas method. This is a direct method for solving…