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 2015 · math.APShow all

2 papers · 2 filters

math.AP2015★ 1 cited

Asymptotic large time behavior of singular solutions of the fast diffusion equation

Kin Ming Hui, Soojung Kim

We study the asymptotic large time behavior of singular solutions of the fast diffusion equation $u_{t} = Δ u^{m}$ in $(R^{n} ∖ {0}) \times (0, \infty)$ in the subcritical ca…

math.AP2015

Singular limit of the generalized Burgers equation with absorption

Kin Ming Hui, Sunghoon Kim

We prove the convergence of the solutions $u_{m, p}$ of the equation $u_{t} + (u^{m})_{x} = - u^{p}$ in $R \times (0, \infty)$ , $u (x, 0) = u_{0} (x) \geq 0$ in $R$ , as $m \to \infty$ for any $p > 1$ and $u_…