Hideo Kozono


Address:

Mathematical Institute 
Tohoku University
Sendai  980-8578,  Japan 
Tel.& Fax. 81-22-217-5773 (office)
Tel. 81-22-217-6401 (secretary)
e-mail: kozono@math.tohoku.ac.jp


Education: 
1987 Doctor of Science at the department of mathematics, Hokkaido University


Research and professional experince: 
1987-1991 Assistant professor at Nagoya University
1991-1993 Associate professor at Kyushu University
1993-1999 Associate professor at Nagoya University
1999-present Professor at Tohoku University


Research field: Partial Differential Equations 


Publications in 5 years:

\begin{document}
\begin{enumerate}
\item 
Global solution for the Yang-Mills gradient flow on 4-manifolds,
Nagoya Math. J.,
{\bf 139} (1995) 93--128
(with Y. Maeda and  H. Naito).
\item 
Local and global unique solvability of the Navier-Stokes exterior problem
with Cauchy 
 data in the  space $L^{n,\infty}$, Huston Math. J. {\bf 21} (1995)
755--799 (with M.Yamazaki).
%
\item
The stability of small stationary solutions in Morrey spaces of the
Navier-Stokes equation, 
Indiana Univ. Math. J. {\bf 44} (1995), 1307--1336 (with M.Yamazaki).
%
\item
Periodic solutions of the Navier-Stokes equations in unbounded domains,  
Tohoku Math. J. {\bf 48} (1996), 33--50 (with M.Nakao).
%
\item
Remark on uniqueness of weak solutions to the Navier-Stokes equations, 
Analysis {\bf 16}  (1996), 255--271 (with H. Sohr).
%
\item
The Navier-Stokes equation with distributions as initial data and
application to self-similar 
solutions, New Trends in Microlocal Analysis, Bony, J.M. \& Morimoto, M.
ed., Tokyo
Berlin Heidelberg New York : Springer, (1996), 125--141(with M.Yamazaki).
%
\item
 Representation formula, net force and energy relation to the stationary 
Navier-Stokes equations in 3-dimensional exterior domains,
Kyushu J. Math. {\bf 51} (1997), 239--260 (with H.Sohr and M.Yamazaki).
%
\item
Regularity criterion on weak solutions  to the Navier-Stokes equations, 
Advances in Differential Equations {\bf 2}(1997), 535--554 (with H.Sohr).
%
\item
Exterior problem for the stationary Navier-Stokes equations in the Lorentz
space, 
Math. Ann. {\bf 310} (1998), 279-305 (with M.Yamazaki).
%
\item
On a larger class of stable solutions to the Navier-Stokes equations in
exterior domains, 
 Math. Z. {\bf 228} (1998), 751--785 (with M.Yamazaki).
%
\item
 Removable singularities of weak solutions to the Navier-Stokes equations,
 Communications in Partial Differential Equations {\bf 23} (1998), 949--966.
%
\item
$L^1$-solutions of the Navier-Stokes equations in exterior domains, 
Math. Ann. {\bf 312} (1998), 319--340.
%
\item
On global strong solution of the Navier-Stokes equations in 4 and 5
dimensional unbounded
domains,  Ann. Inst. Henri Poincar\'e Analyse Nonlin\'eaire {\bf 16}
(1999), 535--56
(with H. Sohr ).
\item  Uniqueness criterion of weak solutions to the stationary
Navier-Stokes equations 
in exterior domains,  Nonlinear Analysis, TMA {\bf 38}(1999), 959--970
(with M.Yamazaki).
%
\end{enumerate}
\end{document}