Decay property for the timoshenko system with fourier's type heat conduction

Naofumi Mori, Shuichi Kawashima, P. G. LeFloch

    Research output: Contribution to journalArticlepeer-review

    28 Citations (Scopus)


    We study the Timoshenko system with Fourier's type heat conduction in the one-dimensional (whole) space. We observe that the dissipative structure of the system is of the regularity-loss type, which is somewhat different from that of the dissipative Timoshenko system studied earlier by Ide-Haramoto-Kawashima. Moreover, we establish optimal L2 decay estimates for general solutions. The proof is based on detailed pointwise estimates of solutions in the Fourier space. Also, we introuce here a refinement of the energy method employed by Ide-Haramoto-Kawashima for the dissipative Timoshenko system, which leads us to an improvement on their energy method.

    Original languageEnglish
    Pages (from-to)135-157
    Number of pages23
    JournalJournal of Hyperbolic Differential Equations
    Issue number1
    Publication statusPublished - Mar 2014

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Mathematics(all)


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