Date | Apr 03, 2015 |
---|---|

Speaker | 배형옥 |

Dept. | 아주대학교 |

Room | 129-301 |

Time | 16:30-17:30 |

We first introduce various non-Newtonian fluids, and its motivation.

We then address the existence of strong solutions to

a system of equations of

motion of an incompressible non-Newtonian fluid.

Our aim is to prove the short-time existence of

strong solutions for the case of shear thickening viscosity,

which corresponds to the power law

nu(mathbfD)=|mathbfD| q−2
(2<q<+infty)
.

In particular, we find that global strong

solutions exist wheneverq>2.23cdots
.

The results are obtained by flattening the boundary

and by using the difference quotient method.

Near the boundary, we use weighted estimates in the normal direction.

We then address the existence of strong solutions to

a system of equations of

motion of an incompressible non-Newtonian fluid.

Our aim is to prove the short-time existence of

strong solutions for the case of shear thickening viscosity,

which corresponds to the power law

In particular, we find that global strong

solutions exist whenever

The results are obtained by flattening the boundary

and by using the difference quotient method.

Near the boundary, we use weighted estimates in the normal direction.

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