51 citations · 289 across the 34 of their papers we have counts for
6 papers · 1 filter
The dynamics of localized spot patterns for reaction-diffusion systems on the sphere
Philippe H. Trinh, Michael J. Ward
In the singularly perturbed limit corresponding to a large diffusivity ratio between two components in a reaction-diffusion (RD) system, quasi-equilibrium spot patterns are often a…
An elastic plate on a thin viscous film
Philippe H. Trinh, Stephen K. Wilson, Howard A. Stone
We consider the steady-state analysis of a pinned elastic plate lying on the free surface of a thin viscous fluid, forced by the motion of a bottom substrate moving at constant spe…
Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves
Philippe H. Trinh
In a companion paper, Grimshaw (Asymptotic Methods in Fluid Mechanics, 2010, pp. 71-120) has demonstrated how techniques of Borel summation can be used to elucidate the exponential…
Exponential asymptotics and problems with coalescing singularities
Philippe H. Trinh, S. Jonathan Chapman
Problems in exponential asymptotics are typically characterized by divergence of the associated asymptotic expansion in the form of a factorial divided by a power. In this paper, w…
On the distinguished limits of the Navier slip model of the moving contact line problem
Weiqing Ren, Philippe H. Trinh, Weinan E
When a droplet spreads on a solid substrate, it is unclear what are the correct boundary conditions to impose at the moving contact line. The classical no-slip condition is general…
Curvature suppresses the Rayleigh-Taylor instability
Philippe H. Trinh, Hyoungsoo Kim, Naima Hammoud +3
The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the ra…