arXiv subjects

Cheng Liang

Publications and source records attributed to Cheng Liang.

20 records · Page 2Linked to original sources

arXiv2014

On the extension to mean curvature flow in lower dimension

In this paper, we prove that if $M_t\subset \mathbb{R}^{n+1}$, $2\leq n\leq 6$, is the $n$-dimensional closed embedded $\mathcal{F}-$stable solution to mean curvature flow with mean curvature of $M_t$ is uniformly bounded on $[0,T)$ for $T<\infty$, then the flow can be smoothly extended over time $T$.

math.DG↗

arXiv2009

A non-local population model of logistic type equation

In this paper, we propose a new non-local population model of logistic type equation on a bounded Lipschitz domain in the whole Euclidean space. This model preserves the L^2 norm, which is called mass, of the solution on the domain. We show that this model has the global existence, stability and asymptotic behavior at time infinity.

math.AP↗