Alla Podolny

Learn More
We investigate bifurcations of stationary periodic solutions of a convective Cahn– Hilliard equation, ut+Duux+(u−u+uxx)xx = 0, describing phase separation in driven systems, and study the stability of the main family of these solutions. For the driving parameter D < D0 = √ 2/3, the periodic stationary solutions are unstable. For D > D0, the periodic(More)
The convective Cahn–Hilliard (CCH) equation, ut + (uxx + u− u)xx − (D/2)(u)x = 0, has been suggested recently for the description of several physical phenomena, including spinodal decomposition of (driven) phase separating systems in an external field, instability of steps moving on a crystal surface, and faceting of growing, thermodynamically unstable(More)
We consider a system which consists of a layer of an incompressible binary liquid with a deformable free surface, and a thick solid substrate subjected to a differential heating across it. We investigate the long-wave thermosolutal Marangoni instability in the case of asymptotically small Lewis and Galileo numbers for finite capillary and Biot numbers with(More)
  • 1