A model for dip-coating of a two liquid mixture.
A new numerical scheme for non uniform homogenized problems: application to the nonlinear Reynolds compressible equation.
An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model
An upper bound on the attractor dimension of a 2D turbulent shear flow with a free boundary condition
We consider a free boundary problem of a two-dimensional Navier-Stokes shear flow. There exist a unique global in time solution of the considered problem as well as the global attractor for the associated semigroup. As in [1] and [2], we estimate from above the dimension of the attractor in terms of given data and the geometry of the domain of the flow. This research is motivated by a free boundary problem from lubrication theory where the domain of the flow is usually very thin and the roughness...
Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates.