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math.AP2025
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…
math.AP2025
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…