Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids Full article
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ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV "MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS" 13-17 May 2019 , Новосибирск |
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Journal of Physics: Conference Series
ISSN: 1742-6588 |
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| Output data | Year: 2019, Volume: 1268, Number: 1, Pages: 012008 Pages count : 1 DOI: 10.1088/1742-6596/1268/1/012008 | ||||||||
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Abstract:
Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids are considered in this work. We assume that, in the momentum equation, the diffusion and relaxation terms are described by two distinct power-laws. Moreover, we assume that the momentum equation is perturbed by an extra term, which, depending on whether its signal is positive or negative, may account for the presence of a source or a sink within the system. For the associated initial-boundary value problem, we study the existence of weak solutions as well as the large time behavior of the solutions.
Cite:
Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2019. V.1268. N1. P.012008. DOI: 10.1088/1742-6596/1268/1/012008 Scopus РИНЦ OpenAlex
Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2019. V.1268. N1. P.012008. DOI: 10.1088/1742-6596/1268/1/012008 Scopus РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85073885999 |
| Elibrary: | 41808515 |
| OpenAlex: | W2959203265 |