Les équations de Kelvin-Helmotz. Un problème bien posé uniquement dans le cadre analytique
Lie group analysis of mixed convection flow with mass transfer over a stretching surface with suction or injection.
Linear instability implies nonlinear instability for various types of viscous boundary layers
Linear response of the gate system for protection of the Venice Lagoon. Note I: Transverse free modes
The free oscillations of the gate system proposed [1,2] to defend the Venice Lagoon from the phenomenon of high water are analyzed. Free transverse modes of oscillations exist which may be either subharmonic or synchronous with respect to typical waves in the Adriatic sea. This result points out the need to examine whether such modes may be excited as a result of a Mathieu type resonance occurring when the gate system is forced by incident waves. The latter investigation is performed in part 2 of...
Linear response of the gate system for protection of the Venice Lagoon. Note II: Excitation of transverse suhharmonic modes
We show that the transverse subharmonic modes characterizing the free oscillations of the gate system proposed to defend the Venice Lagoon from the phenomenon of high water (see Note I[1]) can be excited when the gate system is forced by plane monochromatic waves orthogonal to the gates with the typical characteristics of large amplitude waves in the Adriatic sea close to the lagoon inlets. A linear stability analysis of the coupled motion of the system sea-gates-lagoon reveals that for typical...
Linear stability results in a magnetothermoconvection problem.
Long-Wave Coupled Marangoni - Rayleigh Instability in a Binary Liquid Layer in the Presence of the Soret Effect
We have explored the combined long-wave Marangoni and Rayleigh instability of the quiescent state of a binary- liquid layer heated from below or from above in the presence of the Soret effect. We found that in the case of small Biot numbers there are two long- wave regions of interest k ~ Bi1/2 and k ~ Bi1/4. The dependence of both monotonic and oscillatory thresholds of instability in these regions on both the Soret and dynamic Bond numbers has been investigated. The complete linear stability...
Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid.