A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics.
A Note on the Interpretation of Closed H-Surfaces in Physical Terms.
A note on the solution of the von Kármán equations using series and Chebyshev spectral methods.
A second-order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver
A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-finite domain.
A study of bifurcation of Kolmogorov flows with an emphasis on the singular limit.
A study of the waves and boundary layers due to a surface pressure on a uniform stream of a slightly viscous liquid of finite depth.
A variational approach to the theory of temperature boundary layer.
A Variational Principle For The Theory Of Laminar Boundary Layers In Incompressible Fluids
A variational principle for the theory of laminar boundary layers in incompressible fluids.
A zoology of boundary layers.
In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.
Boundary layer for Chaffee-Infante type equation
This article is concerned with the nonlinear singular perturbation problem due to small diffusivity in nonlinear evolution equations of Chaffee-Infante type. The boundary layer appearing at the boundary of the domain is fully described by a corrector which is “explicitly" constructed. This corrector allows us to obtain convergence in Sobolev spaces up to the boundary.
Boundary layers and time oscillations in rotating fluids
Contribution à l'Etude des Ecoulements d'Un Fluide-donducteur Avec Les "Conditions de Glissement" Parietales
Darcy-Brinkman free convection about a wedge and a cone subjected to a mixed thermal boundary condition.
Écoulement tangentiel sur une surface rugueuse et loi de Navier
Editorial comment on the paper Huashui Zhan, Junning Zhao: Some remarks on Prandtl system
Ekman boundary layers in rotating fluids
In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general initial data. We use dispersive effect to prove strong convergence to the solution of the bimensionnal Navier-Stokes equations modified by the Ekman pumping term.
Ekman boundary layers in rotating fluids
In this paper, we investigate the problem of fast rotating fluids between two infinite plates with Dirichlet boundary conditions and “turbulent viscosity” for general L2 initial data. We use dispersive effect to prove strong convergence to the solution of the bimensionnal Navier-Stokes equations modified by the Ekman pumping term.
Etude de formes d'equations universelles de type couche limite