Abstract
We prove the existence and uniqueness of generalized solutions of initial- and boundary-value problems for the modified equations of motion of a viscous fluid, for the modified equations of heat convection, and for the modified equations of magnetohydrodynamics containing linear terms with derivatives of third order which are models in the description of the flow of some classes of fluids possessing relaxational properties (including the presence of heat and electromagnetic fields).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 52, pp. 128–157, 1975.
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Oskolkov, A.P. Some quasilinear systems occurring in the study of the motion of viscous fluids. J Math Sci 9, 765–790 (1978). https://doi.org/10.1007/BF01085327
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DOI: https://doi.org/10.1007/BF01085327