The 15th PDE Real Analysis Seminar
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
Outline
- Organizers :
-
H.Arai (University of Tokyo)
Y.Giga (University of Tokyo/Hokkaido University)
- Board Members :
- H.Ishii (Waseda.U) T.Kawazoe (Keio.U) N.Kenmochi (Chiba.U) M.Sakai (Tokyo Metropolitan.U)
Y.Shibata (Waseda.U) K.Mochizuki (Chuo.U)
A.Miyachi(Tokyo Woman's Christian.U) M.Yamazaki (Waseda.U)
- Period :
- Jury 13, 2005 (Wednesday) 10:30-11:30
- Place :
- Graduate School of Mathematical Sciences the University of Tokyo, Room #122
Please note the difference from the usual room.
- Programme :
-
- Yonggeun Cho (Hokkaido University)
- "On classical solutions of the compressible Navier-Stokes equation with nonnegative density "
- ABSTRACT:
- In this talk, we discuss a recent progress on the regularity of solution of compressible Navier-Stokes equations with nonnegative density. The nonnegativity of density cauases a problem in using the usual parabolicity of momentum equations and hence in general makes it hard to gain a regularity of solution. To overcome the difficulty, we develop a natural compatibility condition. Then observing a smoothing effect for positive time, we obtain classical solutions of the compressible Navier-Stokes equations.
