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We investigate multidimensional model for incompressible non-Newtonianfluids. Using method of energy estimates we prove the property of finite speedof propagations of the solution support for this problem. We find sharp boundsof the propagations by $L^2$--norm and $L^1$--norm of initial data.

Euler equation for incompressible non-Newtonian fluids: finite speed of propagations and asymptotic behavior of weak solutions