A mathematical model for core-annular fluids with surfactants.
A note on the solution of the von Kármán equations using series and Chebyshev spectral methods.
A study of bifurcation of Kolmogorov flows with an emphasis on the singular limit.
An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section.
An approximate solution for flow between two disks rotating about distinct axes at different speeds.
Approximate ad hoc parametric solutions for nonlinear first-order PDEs governing two-dimensional steady vector fields.
Asymptotic analysis of the structure of a steady planar detonation: Review and extension.
Asymptotic and numerical modelling of flows in fractured porous media
This study concerns some asymptotic models used to compute the flow outside and inside fractures in a bidimensional porous medium. The flow is governed by the Darcy law both in the fractures and in the porous matrix with large discontinuities in the permeability tensor. These fractures are supposed to have a small thickness with respect to the macroscopic length scale, so that we can asymptotically reduce them to immersed polygonal fault interfaces and the model finally consists in a coupling between...
Asymptotic behaviors of internal waves
We present here a systematic method of derivation of asymptotic models for internal waves, that is, for the propagation of waves at the interface of two fluids of different densities. Many physical regimes are investigated, depending on the physical parameters (depth of the fluids, amplitude and wavelength of the interface deformations). This systematic method allows us to recover the many models existing in the literature and to derive some new models, in particular in the case of large amplitude...