Decay rates for \(1-d\) heat-wave planar networks

DOI10.3934/nhm.2016013zbMath1355.35023OpenAlexW2537589268MaRDI QIDQ727495

Enrique Zuazua, Zhong-Jie Han

Publication date: 7 December 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2016013

zbMATH Keywords

frequency domain approachpolynomial decaylogarithmic decaystar-shaped networkhyperbolic-parabolic coupled systemirrationality conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Observability (93B07) Geometric optics (78A05) Axially symmetric solutions to PDEs (35B07) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (8)

Slow Decay and Turnpike for Infinite-Horizon Hyperbolic Linear Quadratic Problems ⋮ Sharp decay rates of degenerate hyperbolic-parabolic coupled system: rectangular domain vs one-dimensional domain ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ Thermoelastic stability of a composite material ⋮ Optimal rates of decay for operator semigroups on Hilbert spaces ⋮ Long-time behavior of partially damped systems modeling degenerate plates with piers ⋮ Spectrum and stability of a \(1-d\) heat-wave coupled system with dynamical boundary control ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients

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