K. M. Hui

activity

20082025

most citedGlobal and touchdown behaviour of the generalized MEMS device equation

5 citations · 18 across the 25 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.AP2008★ 1 cited

Existence and dynamic properties of a parabolic nonlocal MEMS equation

Kin Ming Hui

Let $Ω \subset R^{n}$ be a $C^{2}$ bounded domain and $χ > 0$ be a constant. We will prove the existence of constants $λ_N\geλ_N^{\ast}\geλ^{\ast}(1+χ\int_Ω\frac{dx}{1-w_{\ast}})^…

math.AP2008

Growth rate and extinction rate of a reaction diffusion equation with a singular nonlinearity

Kin Ming Hui

We prove the growth rate of global solutions of the equation $u_{t} = Δ u - u^{- ν}$ in $R^{n} \times (0, \infty)$ , $u (x, 0) = u_{0} > 0$ in $R^{n}$ , where $ν > 0$ is a constant. More precisely for any…

math.AP2008★ 5 cited

Global and touchdown behaviour of the generalized MEMS device equation

Kin Ming Hui

We prove the local and global existence of solutions of the generalized micro-electromechanical system (MEMS) equation $u_{t} = Δ u + λ f (x) / g (u)$ , $u < 1$ , in $Ω \times (0, \infty)$ , $u(x,t)…