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Regularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids

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, , Citation S N Antontsev et al 2020 J. Phys.: Conf. Ser. 1666 012003 DOI 10.1088/1742-6596/1666/1/012003

1742-6596/1666/1/012003

Abstract

Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids are considered in this work. In this work, we establish the existence of weak solutions to the considered model. Sufficient conditions ensuring more regular solutions and its uniqueness are also considered.

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10.1088/1742-6596/1666/1/012003