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Approximation of the Navier–Stokes system with variable viscosity by a system of Cauchy–Kowaleska type
Author(s) -
de Araújo G. M.,
de Menezes S. B.,
Gúzman R. B.
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.979
Subject(s) - mathematics , bounded function , domain (mathematical analysis) , cauchy problem , variable (mathematics) , viscosity , type (biology) , mathematical analysis , cauchy distribution , initial value problem , navier–stokes equations , compressibility , physics , ecology , quantum mechanics , biology , thermodynamics
In this paper, we study the existence of weak solutions when n ⩽4 of the mixed problem for the Navier–Stokes equations defined in a bounded domain Q using approximation by a system of Cauchy–Kowaleska type. Periodical solutions are also analyzed. Copyright © 2008 John Wiley & Sons, Ltd.