Contents Introduction: Drop coalescence and applications; Effect of inter-phase mass transfer. • Inter-phase transport of solutes-convection-diffusion equations in the phases. Numerical method: • Boundary Integral Method for the Stokes equations in the drops; • Finite Difference Method for the flow in the film and the convection-diffusion equations.

This paper deals with approximate solutions to integral equations arising in boundary value problems for the biharmonic equation in simply connected piecewise smooth domains. The approximation method considered demonstrates excellent convergence even in the case of boundary conditions discontinuous at corner points. In an application we obtain very accurate approximations for some characteristi...

Every animal cell is filled with a cytoskeleton, dynamic gel made of inextensible fibers, such as microtubules, actin and intermediate filaments, all suspended in viscous fluid. Numerical simulation this challenging because the fiber aspect ratios can be large $10^4$. We describe new method for rapidly computing dynamics slender filaments periodically-sheared Stokes flow. The are governed by no...

This is an extended version of the paper hep-th/9802134. Dual QCD Lagrangian is derived by making use of the coordinate gauge of general type where the 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an (arbitrary) contour C. As another application a simple proof of the nonabelian Stokes theorem is given.

Boundary conditions for the vorticity form of two-dimensional Navier-Stokes equations are established. Integral equations system for the vorticity and its derivatives in the exterior of the compact domain and on its boundary is constructed. Randomization of this system leads to the stochastic algorithm solving the initial differential problem.

A new boundary integral formulation of the second kind for exterior Stokes flow is introduced. The formulation is stable, complete, singularity-free, and natural for bodies of complicated shape and topology. We prove an existence and uniqueness result for the formulation for arbitrary flows and illustrate its performance via several numerical examples using a Nyström method with Gauss–Legendre ...