Namita Das†, Madhusmita Sahoov†
Abstract: In this paper we study the evolution of closed convex hypersurfaces under the mixed volume preserving curvature ow in Euclidean space with the speed given by reversed function that is symmetric and homogeneous of degree one. We prove that the hypersurfaces preserve convexity under the ow, the maximum existence time is in nite and the hypersurfaces asymptotically approach to sphere.
MSC: 53C44
keywords: Fully nonlinear Curvature ow, Maximum principle.
DOI 10.56082/annalsarscimath.2021.1-2.93
†gh.moazzaf@azaruniv.edu Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran
esabedi@azaruniv.ac.ir Faculty of Science, Azarbaijan Shahid Madani University, Tabriz, Iran
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 13 no 1-2, 2021
