1 citations · 4 across the 7 of their papers we have counts for
12 papers
Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters
G. K. Duong, T. E. Ghoul, N. I. Kavallaris +1
We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equation with power nonlinearity, where the nonlinear term is divided by some Sobolev no…
Gradient inequality and convergence of the normalized Ricci flow
Nikos I. Kavallaris, Takashi Suzuki
We study the problem of convergence of the normalized Ricci flow evolving on a compact manifold without boundary. In \cite{KS10, KS15} we derived, via PDE techniques, global-in…
Impacts of noise on quenching of some models arising in MEMS technology
Ourania Drosinou, Nikos I. Kavallaris, Christos V. Nikolopoulos
In the current work we study a stochastic parabolic problem. The underlying problem is actually motivated by the study of an idealized electrically actuated MEMS (Micro-Electro-Mec…
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system
G. Ky Duong, Nikos I. Kavallaris, Hatem Zaag
In the current paper, we provide a thorough investigation of the blowing up behaviour induced via diffusion of the solution of the following non local problem \begin{equation*} \le…
Bifurcation diagram of a Robin boundary value problem arising in MEMS
Jong-Shenq Guo, N. I. Kavallaris, Chi-Jen Wang +1
We consider a parabolic problem with Robin boundary condition which arises when the edge of a micro-electro-mechanical-system (MEMS) device is connected with a flexible nonideal su…
Entropy-driven cell-decision making predicts fluid-to-solid transition in multicellular systems
Arnab Barua, Simon Syga, Pietro Mascheroni +4
Cellular decision making allows cells to assume functionally different phenotypes in response to microenvironmental cues, without genetic change. It is an open question, how indivi…