Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field

The formation of singularities on a free surface of a conducting ideal fluid in a strong electric field is considered. It is found that the nonlinear equations of two-dimensional fluid motion can be solved in the small-angle approximation. This enables us to show that for almost arbitrary initial conditions the surface curvature becomes infinite in a finite time.Comment: latex, 6 pages, no figure

Sufficient integral criteria for instability of the free charged surface of an ideal liquid

Applying the method of integral estimates to the analysis of three-wave processes we derive the sufficient criteria for the hard loss of stability of the charged plane surface of liquids with different physical properties. The influence of higher-order wave interactions on the instability dynamics is also discussed.Comment: 9 page

Nonlinear waves on the surface of a dielectric liquid in a strong tangential electric field

The nonlinear dynamics of the free surface of an ideal dielectric liquid in a strong electric field is studied. The equation for the evolution of surface electrohydrodynamic waves is derived in the approximation of small surface-slope angles. It is established that the equation can be solved for liquids with sufficiently high values of the permittivity. This makes it possible to describe the interaction of the counter-propagating waves.Comment: 10 pages. accepted to Phys. Lett.

Green catalytic valorization of hardwood biomass into valuable chemicals with the use of solid catalysts

Results of the study on green valorization of hardwood biomass into valuable chemicals with the use of solid catalysts were described. The heterogeneous catalytic processes of hemicelluloses and cellulose hydrolysis, wood oxidative fractionation and lignin depolymerization in supercritical spirits are suggested to employ for the green biorefinery of hardwood to xylose, pure cellulose, glucose, alcohols and liquid hydrocarbons

Quantum and Classical Integrable Systems

The key concept discussed in these lectures is the relation between the Hamiltonians of a quantum integrable system and the Casimir elements in the underlying hidden symmetry algebra. (In typical applications the latter is either the universal enveloping algebra of an affine Lie algebra, or its q-deformation.) A similar relation also holds in the classical case. We discuss different guises of this very important relation and its implication for the description of the spectrum and the eigenfunctions of the quantum system. Parallels between the classical and the quantum cases are thoroughly discussed.Comment: 59 pages, LaTeX2.09 with AMS symbols. Lectures at the CIMPA Winter School on Nonlinear Systems, Pondicherry, January 199

First-principles study of the effect of charge on the stability of a diamond nanocluster surface

Effects of net charge on the stability of the diamond nanocluster are investigated using the first-principles pseudopotential method with the local density approximation. We find that the charged nanocluster favors the diamond phase over the reconstruction into a fullerene-like structure. Occupying the dangling bond orbitals in the outermost surface, the excess charge can stabilize the bare diamond surface and destabilize the C-H bond on the hydrogenated surface. In combination with recent experimental results, our calculations suggest that negative charging could promote the nucleation and further growth of low-pressure diamond.open8

Safety in Applying Binary Mixtures for Oil Production Stimulation

The article considers theoretically, on a qualitative level, the rates of filtration and decomposition of ammonium nitrate, depending on the time of heat release and on the rate of nitrate entry into the porous space of the reservoir near the perforations. It is assumed that field tests at different rates of nitrate solution injection into the well will yield quantitative data on filtration, heat transfer and kinetics of heat release in the reservoir. To estimate the temperature increase in the reservoir under the action of the binary mixture reaction (nitrate + oxidant), the temperature was calculated when the nitrate was decomposed in an aqueous solution (300 g of water per 1 kg of nitrate), taking into account the oxidation of a small fraction of oil in the reservoir near the well with oxygen released during the decomposition of nitrate

THE ROLE OF SINGLE-STEP IONIZATION BY THERMAL ELECTRON-ATOM COLLISIONS

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