7月15日(木)  15:00 -- 16:00  卓 建宏 (中正大学, 台湾)
            ``Global and singular solutions to the generalized 
              Proudman-Johnson equation.''

＜研究発表要旨＞
We  consider the generalized Proudman?-ohnson equation
f_{xxt}+ff_{xxx}= a f_{x}f_{xx}, (x\in R, t>0), and show that there is 
a class of solutions which exist globally for all parameters a having 
the form ?(n+3)/(n+1) for n ∈ N, thereby extending a result of Bressan 
and Constantin (2005). Furthermore, we present new proofs of existence 
of solutions developing spontaneous singularities and compute the 
corresponding blow-up rates for a<-1 for the periodic case.