Schauder estimates for higher-order parabolic systems with time irregular coefficients

We prove Schauder estimates for solutions to both divergence and non-divergence type higher-order parabolic systems in the whole space and a half space. We also provide an existence result for the divergence type systems in a cylindrical domain. All coefficients are assumed to be only measurable in the time variable and Hölder continuous in the spatial variables.     

A low-temperature electrolyte for lithium-ion batteries

In this paper, the electrochemical performance of a new low-temperature electrolyte, 0.9 mol L^?1 lithium oxalyldifluoroborate (LiODFB)/LiBF₄ (5.365:1, by mass) mixed salts in the ethylene carbonate (EC)/dimethyl sulfite (DMS)/ethyl methyl carbonate (EMC) mixed solvent (1:1:3, by volume, the same below), is studied to seek the promising candidate for advanced low-temperature lithium-ion batteries (LIBs). The results show that LIBs using this new electrolyte can be operable well at temperature below ?20 °C. This is useful to expand the application range of LIBs, especially at specific low-temperature environments, such as military and aerospace applications.     

Fatigue life enhancement by irradiation of 12Cr1MoV steel with a Zr<Superscript>+</Superscript> ion beam. Mesoscale deformation and fracture

The structure and properties of 12Cr1MoV steel irradiated with a zirconium ion beam were studied by optical microscopy, scanning electron microscopy, and micro- and nanoindentation. It is shown that the modification covers the entire cross-section of the irradiated specimens to a depth of 1 mm. The data on irradiation-induced structural changes are used to interpret the changes in mechanical properties of the irradiated specimens under static and cyclic loading. Particular attention is given to analysis of strain estimation by the digital image correlation method.     

Use of circular variance to quantify the deviation of a macromolecule from the spherical shape

It is shown that the extent of deviation of a molecular shape from spherical can be characterized by comparing the distribution of the circular variances, a measure originally proposed to quantify angular spread, of the vectors from each atom to the rest of the molecule to the circular variance of a collection of atoms filling the unit sphere. Different measures for quantifying the difference between distribution are proposed and compared.