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Wrinkles, creases, and cusps in growing soft matter
The buckling of a soft elastic sample under growth or swelling has highlighted a new interest
in materials science, morphogenesis, and biology or physiology. Indeed, the change of …
in materials science, morphogenesis, and biology or physiology. Indeed, the change of …
Air entrainment through free-surface cusps
In many industrial processes, such as pouring a liquid or coating a rotating cylinder, air
bubbles are entrapped inside the liquid. We propose that this is due to air being drawn into …
bubbles are entrapped inside the liquid. We propose that this is due to air being drawn into …
Lightning Stokes solver
Gopal and Trefethen recently introduced “lightning solvers” for the 2D Laplace and
Helmholtz equations, based on rational functions with poles exponentially clustered near …
Helmholtz equations, based on rational functions with poles exponentially clustered near …
A cut finite element method for incompressible two-phase Navier–Stokes flows
We present a space–time Cut Finite Element Method (CutFEM) for the time-dependent
Navier–Stokes equations involving two immiscible incompressible fluids with different …
Navier–Stokes equations involving two immiscible incompressible fluids with different …
Quadrature domains and fluid dynamics
D Crowdy - Quadrature Domains and Their Applications: The …, 2005 - Springer
Few physical scientists interested in the mathematical description of fluid flows will know
what a quadrature domain is; just as few mathematicians interested in quadrature domain …
what a quadrature domain is; just as few mathematicians interested in quadrature domain …
A hybrid numerical method for interfacial fluid flow with soluble surfactant
We address a significant difficulty in the numerical computation of fluid interfaces with
soluble surfactant that occurs in the physically representative limit of large bulk Peclet …
soluble surfactant that occurs in the physically representative limit of large bulk Peclet …
Two-dimensional Stokes and Hele-Shaw flows with free surfaces
We discuss the application of complex variable methods to Hele-Shaw flows and two-
dimensional Stokes flows, both with free boundaries. We outline the theory for the former, in …
dimensional Stokes flows, both with free boundaries. We outline the theory for the former, in …
Influence of surfactant on rounded and pointed bubbles in two-dimensional Stokes flow
A simple plane flow model is used to examine the effects of surfactant on bubbles evolving
in slow viscous flow. General properties of the time-dependent evolution as well as exact …
in slow viscous flow. General properties of the time-dependent evolution as well as exact …
An efficient numerical method for studying interfacial motion in two-dimensional cree** flows
We present new methods for computing the motion of two-dimensional closed interfaces in a
slow viscous flow. The interfacial velocity is found through the solution to an integral …
slow viscous flow. The interfacial velocity is found through the solution to an integral …
Linear stability analysis of capillary instabilities for concentric cylindrical shells
Motivated by complex multi-fluid geometries currently being explored in fibre-device
manufacturing, we study capillary instabilities in concentric cylindrical flows of fluids with …
manufacturing, we study capillary instabilities in concentric cylindrical flows of fluids with …