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

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

2007-12-07

arxiv.org/abs/0712.1152v1

Mathematics

Analysis of PDEs

Scientific paper

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

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