We study a new mathematical model of locally nonequilibrium processes of heat, mass, and momentum transfer taking into account the relaxation phenomena based on hyperbolic and parabolic equations. We also propose a method aimed at getting a priori Schauder-type estimates. The unique solvability of the problem with inner-boundary nonlocal conditions is established.
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Translated from Neliniini Kolyvannya, Vol. 22, No. 4, pp. 548–559, October–December, 2019.
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Takhirov, J.O. On Relaxation Transport Models. J Math Sci 254, 305–317 (2021). https://doi.org/10.1007/s10958-021-05306-5
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DOI: https://doi.org/10.1007/s10958-021-05306-5