Journal of Applied Analysis
Vol. 2, No. 1, pp. 79-104 (1996)
Initial - Boundary Value Problem for Equations of Generalized Newtonian Incompressible Fluid
E. ZadrzynskaInstitute of Mathematics
and Operation Research
Military University of Technology
S. Kaliskiego 2
01-489 Warsaw, Poland
Abstract: In the paper the existence theorem for a initial - boundary problem with the Neumann type boundary condition to equations of the motion of a generalized newtonian incompressible fluid is proved. Moreover, for a special case of a non-newtonian fluid uniqueness of a solution is proved, as well.
Keywords: Non-newtonian incompressible fluid, initial-boundary valueproblem, local and global existence
Classification (MSC2000): 35Q35, 76D99
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