ProV Logo
0
On the Type IIb solutions to mean curvat...
Cheng, Liang...

Free

On the Type IIb solutions to mean curvature flow by Cheng, Liang ( Author )
Lemonjar Open Access
Australian National University
29-08-2023
In this paper we study the Type IIb mean curvature flow. We first prove that if the convex entire graph $(y,u(|y|))$ over $\mathbb{R}^n$, $n\geq 2$, satisfying there exist positive constants $\epsilon$, $c$ and $N$ such that $ u'(r)\geq c r^{\epsilon} $ for $r\geq N$, the longtime solution to mean curvature flow with initial data $(y,u(|y|))$ must be Type IIb. We also study the asymptotic behavior of Type IIb mean curvature flow and show that the limit of suitable rescaling sequence for mean-convex Type IIb mean curvature flow satisfying $\delta$-Andrews' noncollapsing condition is translating soliton.
-
Article
pdf
30.00 KB
English
-
MYR 0.01
-
http://arxiv.org/abs/1603.06102
Share this eBook