Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity

DOI10.1016/j.na.2018.03.019zbMath1403.35051OpenAlexW2795823092WikidataQ129972839 ScholiaQ129972839MaRDI QIDQ1750270

Naofumi Mori, Reinhard Racke

Publication date: 18 May 2018

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.2018.03.019

zbMATH Keywords

shear deformationglobal existencedecay estimateTimoshenko systemsCattaneo's lawregularity-lossweak dissipativityrotational inertia effect

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic systems (35L52) Initial value problems for higher-order hyperbolic systems (35L56)

Related Items (2)

Well-posedness and polynomial energy decay rate of a transmission problem for Rayleigh beam model with heat conduction ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III

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