Decay rates for \(1-d\) heat-wave planar networks
type: Item
instance of: scholarly article
title: Decay rates for \(1-d\) heat-wave planar networks
zbMATH Open document ID: 1355.35023
author: Zhongjie Han
author: Enrique Zuazua
published in: Networks and Heterogeneous Media
publication date: 2016-12-07T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B07
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 78A05
Mathematics Subject Classification ID: 35R02
zbMATH DE Number: 6661754
zbMATH Keywords: hyperbolic-parabolic coupled system
zbMATH Keywords: star-shaped network
zbMATH Keywords: polynomial decay
zbMATH Keywords: logarithmic decay
zbMATH Keywords: irrationality conditions
zbMATH Keywords: frequency domain approach
MaRDI profile type: Publication
full work available at URL: nhm.2016013
OpenAlex ID: W2537589268
cites work: Stabilization of star-shaped networks of strings.
cites work: Remark on stabilization of tree-shaped networks of strings.
cites work: Stabilization of Bernoulli--Euler beams by means of a pointwise feedback force
cites work: The Lack of Exponential Stability in Certain Transmission Problems with Localized Kelvin--Voigt Dissipation
cites work: Q4226707
cites work: A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
cites work: Classical solvability of linear parabolic equations on networks
cites work: Optimal polynomial decay of functions and operator semigroups
cites work: Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
cites work: Q1817825
cites work: Riesz basis property and stability of planar networks of controlled strings
cites work: Spectrum and dynamical behavior of a kind of planar network of non-uniform strings with non-collocated feedbacks
cites work: Dynamical behavior of networks of non-uniform Timoshenko beams system with boundary time-delay inputs
cites work: Stability of an abstract system of coupled hyperbolic and parabolic equations
cites work: Modeling, analysis and control of dynamic elastic multi-link structures
cites work: Characterization of polynomial decay rate for the solution of linear evolution equation
cites work: Q4239302
cites work: A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves
cites work: Asymptotic stability of linear differential equations in Banach spaces
cites work: Spectrum of a network of Euler-Bernoulli beams
cites work: A characterization of a generalized \(C^{\infty}\)-notion on nets
cites work: Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Polynomial decay for a hyperbolic-parabolic coupled system
cites work: Q3900552
cites work: Stabilization of the Wave Equation on 1-d Networks
cites work: Abstract Second Order Hyperbolic System and Applications to Controlled Network of Strings
cites work: Polynomial decay and control of a 1D hyperbolic-parabolic coupled system
cites work: Control, observation and polynomial decay for a coupled heat-wave system
cites work: Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
cites work: Q3159191
DOI: 10.3934/NHM.2016013
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description: scientific article; zbMATH DE number 6661754