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홈 > 학술정보 >학술행사 > 세미나
2017 서울대학교 수리과학부 세미나

Title
Existence of regular solutions for non-Newtonian Navier-Stokes equations of power-law type
Speaker
강경근   (연세대 )
Date
2017-04-13 17:00:00
Host
SNU
Place
129-301
Abstract
We are concerned with non-Newtonian Navier-Stokes equations of a power law type with an exponent q in three dimensions. We establish the local existence of regular solutions for 2 < q locally in time, if initial data is sufficiently smooth. Furthermore, if initial data is sufficiently small, the regular solutions are extended globally in time. The method of proof also works for more general type of strain tensors as long as some structure conditions as long as some structure conditions are satisfied. This is a joint work with H.-K. Kim and J.-M. Kim.
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