Approximation of the Navier–Stokes system with variable viscosity by a system of Cauchy–Kowaleska type | Zendy

de Araújo G. M. | Zendy; de Menezes S. B. | Zendy; Gúzman R. B. | Zendy

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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.

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