Analyticity of thermo-elastic semigroups with free boundary conditions
Irena Lasiecka, Roberto Triggiani (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Irena Lasiecka, Roberto Triggiani (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fritz John (1962-1963)
Séminaire Jean Leray
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Gimyong Hong, Hakho Hong (2022)
Applications of Mathematics
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We are concerned with a transmission problem for the Kirchhoff plate equation where one small part of the domain is made of a viscoelastic material with the Kelvin-Voigt constitutive relation. We obtain the logarithmic stabilization result (explicit energy decay rate), as well as the wellposedness, for the transmission system. The method is based on a new Carleman estimate to obtain information on the resolvent for high frequency. The main ingredient of the proof is some careful analysis...
Louis Tebou (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect...
Bucci, F., Lasiecka, I., Triggiani, R. (2002)
Abstract and Applied Analysis
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Sheng Zhang (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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For a plate subject to stress boundary condition, the deformation determined by the Reissner–Mindlin plate bending model could be bending dominated, transverse shear dominated, or neither (intermediate), depending on the load. We show that the Reissner–Mindlin model has a wider range of applicability than the Kirchhoff–Love model, but it does not always converge to the elasticity theory. In the case of bending domination, both the two models are accurate. In the case of transverse shear...
Ivan Hlaváček, Joachim Naumann (1974)
Aplikace matematiky
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