Zobrazeno 1 - 10
of 730
pro vyhledávání: '"Nicaise, Serge"'
We study stability of abstract differential equations coupled by means of a general algebraic condition. Our approach is based on techniques from operator theory and systems theory, and it allows us to study coupled systems by exploiting properties o
Externí odkaz:
http://arxiv.org/abs/2403.15253
We study the free Schr\"odinger equation on finite metric graphs with infinite ends. We give sufficient conditions to obtain the $L^1$ to $L^\infty$ time decay rate at least $t^{-1/2}$. These conditions allow certain metric graphs with circles and/or
Externí odkaz:
http://arxiv.org/abs/2310.16628
In this paper, the stability of longitudinal vibrations for transmission problems of two smart-system designs are studied: (i) a serially-connected Elastic-Piezoelectric-Elastic design with a local damping acting only on the piezoelectric layer and (
Externí odkaz:
http://arxiv.org/abs/2303.05882
In this paper, we study the direct/indirect stability of locally coupled wave equations with local Kelvin-Voigt dampings/damping and by assuming that the supports of the dampings and the coupling coefficients are disjoint. First, we prove the well-po
Externí odkaz:
http://arxiv.org/abs/2203.01632
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Publikováno v:
In Journal of the Franklin Institute December 2024 361(18)
In this paper, we investigate the direct and indirect stability of locally coupled wave equations with local viscous damping on cylindrical and non-regular domains without any geometric control condition. If only one equation is damped, we prove that
Externí odkaz:
http://arxiv.org/abs/2111.14554
Autor:
Nicaise, Serge
In this paper, we obtain some stability results of (abstract) dissipative evolution equations with a nonautonomous and nonlinear damping using the exponential stability of the retrograde problem with a linear and autonomous feedback and a comparison
Externí odkaz:
http://arxiv.org/abs/2110.11122
Publikováno v:
In Journal of Computational and Applied Mathematics 15 May 2024 441
In this paper, we investigate the stabilization of a linear Bresse system with one discontinuous local internal viscoelastic damping of Kelvin-Voigt type acting on the axial force, under fully Dirichlet boundary conditions. First, using a general cri
Externí odkaz:
http://arxiv.org/abs/2012.08219