Abstract:
A model of viscoelastic barotropic Maxwell fluid is investigated. The unique solvability theorem is proved for the corresponding initial-boundary value problem. The associated spectral problem is studied. We prove statements on localization of the spectrum, on the essential and discrete spectra, and on asymptotics of the spectrum.
Citation:
D. A. Zakora, “Model of the Maxwell compressible fluid”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 63, no. 2, Peoples' Friendship University of Russia, M., 2017, 247–265
\Bibitem{Zak17}
\by D.~A.~Zakora
\paper Model of the Maxwell compressible fluid
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2017
\vol 63
\issue 2
\pages 247--265
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd319}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-2-247-265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3717890}
Linking options:
https://www.mathnet.ru/eng/cmfd319
https://www.mathnet.ru/eng/cmfd/v63/i2/p247
This publication is cited in the following 2 articles:
Yu. A. Tikhonov, “On the Properties of a Semigroup of Operators Generated by a Volterra Integro-Differential Equation Arising in the Theory of Viscoelasticity”, Diff Equat, 58:5 (2022), 662
D. A. Zakora, “Asymptotics of solutions in the problem about small motions of a compressible Maxwell fluid”, Differ. Equ., 55:9 (2019), 1150–1163
Citation in format AMSBIB
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