A study associated with critical level resonance in 2D flow over isolated ridges.
A study of bifurcation of Kolmogorov flows with an emphasis on the singular limit.
A study of the inverse of a free-surface problem.
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 subcritical flow over a stepping bottom.
A subsidiary variational problem and existence criteria for capillary surfaces.
A survey of some new results in ferromagnetic thin films
A Survey on Mathematical Modelling of Deposition in Waxy Crude Oils
Waxy Crude Oils (WCO’s) are characterized by the presence of heavy paraffins in sufficiently large concentrations. They exhibit quite complex thermodynamical and rheological behaviour and present the peculiar property of giving rise to the formation of segregated wax deposits, when temperature falls down the so called WAT, or Wax Appearance Temperature. In extreme cases, segregated waxes may lead to pipeline occlusion due to deposition on cold walls....
A theoretical comparison between inner products in the shift-invert Arnoldi method and the spectral transformation Lanczos method.
A theory of nonlinear wave loading on offshore structures.
A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
A two-fluid hyperbolic model in a porous medium
The paper is devoted to the computation of two-phase flows in a porous medium when applying the two-fluid approach. The basic formulation is presented first, together with the main properties of the model. A few basic analytic solutions are then provided, some of them corresponding to solutions of the one-dimensional Riemann problem. Three distinct Finite-Volume schemes are then introduced. The first two schemes, which rely on the Rusanov scheme, are shown to give wrong approximations in some...
A two-level discretization method for the stationary MHD equations.
A unified convergence analysis for local projection stabilisations applied to the Oseen problem
The discretisation of the Oseen problem by finite element methods may suffer in general from two shortcomings. First, the discrete inf-sup (Babuška-Brezzi) condition can be violated. Second, spurious oscillations occur due to the dominating convection. One way to overcome both difficulties is the use of local projection techniques. Studying the local projection method in an abstract setting, we show that the fulfilment of a local inf-sup condition between approximation and projection spaces...
A uniqueness criterion for the solution of the stationary Navier-Stokes equations
A uniqueness criterion is given for the weak solution of the Navier-Stokes equations in the stationary case. Precisely, it is proved that, for a generic known term, there exists one and only one solution such that the mechanical power of the corresponding flow is maximum and that this maximum is "stable" in an appropriate sense.
A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum
We consider a continuum model describing steady flows of a miscible mixture of two fluids. The densities of the fluids and their velocity fields are prescribed at infinity: , . Neglecting the convective terms, we have proved earlier that weak solutions to such a reduced system exist. Here we establish a uniqueness type result: in the absence of the external forces and interaction terms, there is only one such solution, namely , , .
A uniqueness theorem for nonstationary Navier-Stokes flow past an obstacle
A uniqueness theorem for the approximable solutions of the stationary Navier-Stokes equations
It is proved that there can exist at most one solution of the homogeneous Dirichlet problem for the stationary Navier-Stokes equations in 3-dimensional space which is approximable by a given consistent and regular approximation scheme.
A uniqueness theorem for viscous flows on exterior domains with summability assumptions on the gradient of pressure.
In questa Nota si fornisce un teorema di unicità per soluzioni regolari delle equazioni di Navier-Stokes in domini esterni. Tale teorema non richiede che le velocità tendano ad un prefissato limite all'infinito, mentre il gradiente di pressione è supposto essere di -ma potenza sommabile nel cilindro spazio-temporale . Questo risultato non può essere ulteriormente generalizzato al caso , a causa di noti controesempi.
A Van Leer finite volume scheme for the Euler equations on unstructured meshes