2014 We study the effect of the coupling between front deformation and solutal convection on the position of the bifurcation from the planar quiescent state of a dilute binary alloy submitted to directional solidification. We set up a perturbation treatment of the coupling between the « bare » (Mullins-Sekerka and solutal convective) bifurcations. We show that the shift of the Mullins-Sekerka b...

Mullins-Sekerka's instability at 3D self-similar growth of a spherical seed crystal in an undercooled fluid is discussed. The exact solution of the linearized stability problem is obtained. It is quite different from the conventional results of the quasisteady approximation. The instability occurs much weaker, so that instead of exponential growth in time, unstable modes exhibit just power-law-...

يتحدث البحث عن العلاقات السوفيتية – الباكستانية خلال عام 1980 الذي شهد تطورات مهمة على المستوى الإقليمي والدولي لاسيما بعد الاحتلال السوفيتي لأفغانستان في 27 كانون الاول 1979، الامر زاد من توتر ابان ذلك العام وخلق ازمة سياسية علاقات البلدين ظلت اثارها مستمرة لعدة سنوات ، وقد سلط طبيعة وما صاحبها مفاوضات جرت بينهما بشأن حل الازمة الأفغانية .
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Abstract The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling still challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives review on some widely used approaches, presents classification, proves their thermodynamic consistency, discusses reasonable modificati...

Abstract We study the sharp interface limit of two dimensional stochastic Cahn-Hilliard equation driven by types singular noise: a space-time white noise and divergence-type noise. show that with appropriate scaling solutions problems converge to determinisitic Mullins-Sekerka/Hele-Shaw problem.

An experiment was designed to compare the freezing of an aqueous solution in glass microcapillaries and in thin films. The velocity dependence of the ice front propagation in glass capillaries with radii of 87.5 microm-1.5 microm was observed. A critical capillary radius r(0), corresponding to certain thermal conditions, was obtained, below which the ice growth inside the capillaries was retard...

The Mullins-Sekerka sharp-interface model for phase transitions interpolates between attachment-limited and diffusion-limited kinetics if kinetic drag is included in the Gibbs-Thomson interface condition. Heuristics suggest that the typical length scale of patterns may exhibit a crossover in coarsening rate from l(t) ∼ t1/2 at short times to l(t) ∼ t1/3 at long times. We establish rigorous, uni...