We consider the dynamic property of volume preserving mean curvature flow. This flow was introduced by Huisken (J Reine Angew Math 382:35–48, 1987) who also proved it converges to a round sphere same enclosed if initial hypersurface is strictly convex in Euclidean space. study stability this hyperbolic In particular, we prove that hyperbolically and close an umbilical $$L^2$$ -sense, then exist...

As previous years, Dip 5 will continue with the redefinition of what was formerly known as public space, trying to reactivate the physical realm of the common, nowadays kidnapped by economic and political agents. The origin of the word paradise gets back to ancient Persia, and to the Avestian term pairi-daêza, composed by pairi, "around" and diz "to construct", literally enclosed space, that wa...

OBJECTIVE Each year, children die from heat stroke after being left unattended in motor vehicles. In 2003, the total was 42, up from a national average of 29 for the past 5 years. Previous studies found that on days when ambient temperatures exceeded 86 degrees F, the internal temperatures of the vehicle quickly reached 134 to 154 degrees F. We were interested to know whether similarly high tem...