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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 11–19 (Mi tm271)  

This article is cited in 4 scientific papers (total in 4 papers)

Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data

A. A. Amosov

Moscow Power Engineering Institute (Technical University)
Full-text PDF (191 kB) Citations (4)
References:
Abstract: The existence of global weak solutions to initial–boundary value problems for a system of quasilinear differential equations describing the dynamics of a one-dimensional Voigt-type thermoviscoelastic body is established. The initial and boundary data may be discontinuous functions. Only physically natural requirements are imposed on the data. In particular, it is required that the initial velocity and initial temperature should be such that the full energy is finite. The density of heat sources and a boundary heat flux may be functions from $L_1$. The functions defining the properties of the body may also be discontinuous in $x$.
Received in November 2000
Bibliographic databases:
UDC: 517.958+533.7
Language: Russian
Citation: A. A. Amosov, “Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 11–19; Proc. Steklov Inst. Math., 236 (2002), 3–11
Citation in format AMSBIB
\Bibitem{Amo02}
\by A.~A.~Amosov
\paper Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 11--19
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm271}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931001}
\zmath{https://zbmath.org/?q=an:1034.74023}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 3--11
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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