Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Özsarı, Türker"'
Autor:
Özsarı, Türker, Susuzlu, İdem
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 condition on a portion of the domain's boundary. The analysis of these models
Externí odkaz:
http://arxiv.org/abs/2410.09994
We introduce a finite dimensional version of backstepping controller design for stabilizing solutions of PDEs from boundary. Our controller uses only a finite number of Fourier modes of the state of solution, as opposed to the classical backstepping
Externí odkaz:
http://arxiv.org/abs/2309.02196
We establish local well-posedness for the higher-order nonlinear Schr\"odinger equation, formulated on the half-line. We consider the scenario of associated coefficients such that only one boundary condition is required, which is assumed to be Dirich
Externí odkaz:
http://arxiv.org/abs/2305.18202
In this paper, we prove dispersion estimates for the boundary integral operator associated with the fourth order Schr\"odinger equation posed on the half line. Proofs of such estimates for domains with boundaries are rare and generally require highly
Externí odkaz:
http://arxiv.org/abs/2110.01223
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 problems originating from the control theory, which allows the realis
Externí odkaz:
http://arxiv.org/abs/2110.01036
Autor:
Özsarı, Türker, Yılmaz, Kemal Cem
Backstepping based controller and observer models were designed for higher order linear and nonlinear Schr\"odinger equations on a finite interval in Part I of this study where the controller was assumed to be acting from the left endpoint of the med
Externí odkaz:
http://arxiv.org/abs/2102.02095
Autor:
Köksal, Bilge, Özsarı, Türker
It was shown by the second author in (CPAA, 2019) for the biharmonic Schr\"odinger equation and most recently by Himonas and Mantzavinos (Nonlinearity, 2020) for 2D Schr\"odinger equation that Fokas method based formulas are capable of defining weak
Externí odkaz:
http://arxiv.org/abs/2101.05168
Autor:
Cavalcanti, Marcelo M., Cavalcanti, Valeria N. Domingos, Martinez, Victor H. Gonzalez, Özsarı, Türker
We study the stabilization and the wellposedness of solutions of the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation. The novelty of this paper is that we deal with the difficulty that the main equation do
Externí odkaz:
http://arxiv.org/abs/2011.13501
We obtain solution representation formulas for some linear initial boundary value problems posed on the half space that involve mixed spatial derivative terms via the unified transform method (UTM), also known as the Fokas method. We first implement
Externí odkaz:
http://arxiv.org/abs/2002.01057
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