11 citations · 23 across the 13 of their papers we have counts for
7 papers · 1 filter
On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow
Zhou Gang
We consider one of the generic regimes of formation of singularities. We obtain a detailed description of a possibly small, but fixed, neighborhood of the blowup point, up to (and…
On the dynamics of formation of generic singularities of mean curvature flow
Zhou Gang
We study the formation of generic singularities of mean curvature flow by combining the different approaches, specifically the methods in studying blowup of nonlinear heat equation…
A Resonance Problem in Relaxation of Ground States of Nonlinear Schrodinger Equations
Zhou Gang
In this paper we consider a resonance problem, in a generic regime, in the consideration of relaxation of ground states of semilinear Schrodinger equations. Different from previous…
Equipartition of Mass in Nonlinear Schrödinger / Gross-Pitaevskii Equations
Zhou Gang, Michael I. Weinstein
We study the infinite time dynamics of a class of nonlinear Schrödinger / Gross-Pitaevskii equations. In our previous paper, we prove the asymptotic stability of the nonlinear grou…
Neck Pinching Dynamics Under Mean Curvature Flow
Zhou Gang, Israel Michael Sigal
In this paper we study motion of surfaces of revolution under the mean curvature flow. For an open set of initial conditions close to cylindrical surfaces we show that the solution…
Perturbation Expansion and N-th Order Fermi Golden Rule of the Nonlinear Schrödinger Equations
Zhou Gang
In this paper we consider generalized nonlinear Schrödinger equations with external potentials. we compute the forth and the sixed order Fermi Golden Rules (FGR), conjectured in ou…
Blow-up in Nonlinear Heat Equations
S. Dejak, Zhou Gang, I. M. Sigal +1
We study the blow-up problem of one-dimensional nonlinear heat equations. Our result shows that for a certain class of initial conditions, the solutions blow up in finite time and…