V. V. Mansurov

Weakly nonlinear oscillations in bulk crystallization

The example of homogeneous crystallization is used to examine stationary almostharmonic oscillations due to instability in the formation and growth of new-phase elements in a matrix.

Self-oscillations, parametric modulation, and nonlinear parametric resonance in bulk crystallization processes

We consider several nonlinear effects, generated during stability breakdown of the formation process of discrete elements of a new phase (crystals, gas bubbles) in a metastable fluid.

Nonlinear oscillations in bulk crystallization processes

Nonlinear oscillations generated by losses of stability of steady-state bulk crystallization are investigated.

Oscillatory crystallization of a binary melt

A study is made of slightly nonlinear oscillations resulting from dynamic instability of a steady-state solidification process.

Toward a theory of shock boiling

A study is made of the instability of nucleation in a metastable medium and a model of significantly nonlinear relaxation self-oscillations which develop when there is an intense dependence of nucleation rate on temperature.

Instability of the steady-state solidification process

A new type of planar crystallization-front instability is found and studied: dynamic instability with respect to front-velocity perturbations, independent of morphological stability.

Instability in a self-modeling crystallization front in a one-component melt

Studies have been made on the stability of planar, cylindrical, and spherical crystallization fronts in a one-compound melt in the presence of small perturbations in the phase-transition surface.