Dissipative structure and global existence in critical space for Timoshenko system of memory type

DOI10.1016/J.JDE.2018.04.014OpenAlexW2800551605WikidataQ129858619 ScholiaQ129858619MaRDI QIDQ2109140

Naofumi Mori

Publication date: 20 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.014

zbMATH Keywords

initial value problemdecay propertyregularity-loss typepointwise estimate in the Fourier spaceexistence and decayTimoshenko system with memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order hyperbolic systems (35L55) Initial value problems for linear higher-order PDEs (35G10)

Related Items (7)

Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I ⋮ Decay property for a novel partially dissipative viscoelastic beam system on the real line ⋮ An S \& K mixed condition for symmetric hyperbolic systems with non-symmetric relaxations ⋮ Dynamical behavior of the indirectly and locally memory-damped Timoshenko system ⋮ Memory Effects on the Stability of Viscoelastic Timoshenko Systems in the Whole 1<i>D</i>-Space ⋮ Shearing Viscoelasticity in Partially Dissipative Timoshenko–Boltzmann Systems ⋮ New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation

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