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- Michael A. Zaks, Alla Podolny, Alexander A. Nepomnyashchy, Alexander A. Golovin
- SIAM Journal of Applied Mathematics
- 2005

We investigate bifurcations of stationary periodic solutions of a convective Cahn--Hilliard equation, $u_t + Duu_x + (u - u^3 + u_{xx})_{xx} = 0$, describing phase separation in driven systems, and… (More)

We investigate the long-wave Marangoni instability in a binary-liquid layer in the limit of a small Biot number B. The surface deformation and the Soret effect are both taken into account. It is… (More)

The convective Cahn–Hilliard (CCH) equation, ut + (uxx + u − u 3 )xx − (D/2)(u 2 )x = 0, has been suggested recently for the description of several physical phenomena, including spinodal… (More)

We investigate the long-wave Marangoni instability in binary-liquid layers in the presence of the Soret effect in the case of finite Biot numbers. Linear stability theory reveals both long-wave… (More)

The stability of the main family of odd stationary periodic solutions of the convective Cahn-Hilliard equation is studied. The boundaries of the stability intervals are obtained numerically for… (More)

- Alla Podolny, Alexander A. Nepomnyashchy, Alexander Oron
- Physical review. E, Statistical, nonlinear, and…
- 2007

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… (More)

Abstract We consider a system that consists of a layer of an incompressible binaryliquid with a deformable free surface, and a solid substrate layer heated orcooled from below. The surface tension is… (More)