Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory

DOI10.1016/j.na.2013.02.005zbMath1329.35064OpenAlexW2055246369MaRDI QIDQ388465

Yongqin Liu, Shuichi Kawashima

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.02.005

zbMATH Keywords

weak dissipationoptimal decay results

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Integro-partial differential equations (35R09)

Related Items (10)

The frequency-localization technique and minimal decay-regularity for Euler-Maxwell equations ⋮ An S \& K mixed condition for symmetric hyperbolic systems with non-symmetric relaxations ⋮ Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems ⋮ Asymptotic behavior of solutions to a nonlinear plate equation with memory ⋮ Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity ⋮ Global smooth flows for compressible Navier-Stokes-Maxwell equations ⋮ Decay estimate and asymptotic profile for a plate equation with memory ⋮ Global existence, asymptotic behavior and uniform attractors for a non-autonomous Timoshenko system of thermoelasticity of type III with a time-varying delay ⋮ \(L^p - L^q - L^r\) estimates and minimal decay regularity for compressible Euler-Maxwell equations ⋮ Dissipative structure and global existence in critical space for Timoshenko system of memory type

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