Open AccessRegularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids
Author(s) -
S. N. Antont︠s︡ev,
H. B. de Oliveira,
Kh. Khompysh
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1666/1/012003
Subject(s) - uniqueness , compressibility , work (physics) , mathematical analysis , mathematics , weak solution , uniqueness theorem for poisson's equation , physics , classical mechanics , mechanics , thermodynamics
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.