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 the asymptotic behavior of the spectrum.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 63, No. 2, Proceedings of the Crimean Autumn Mathematical School-Symposium, 2017.
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Zakora, D.A. Model of the Maxwell Compressible Fluid. J Math Sci 250, 593–610 (2020). https://doi.org/10.1007/s10958-020-05030-6
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DOI: https://doi.org/10.1007/s10958-020-05030-6