I prove that the solutions of the phase-field equations, on a subsequence, converge to a weak solution of the Mullins-Sekerka problem with kinetic undercooling. The method is based on energy estimates, a monotonicity formula, and the equipartition of the energy at each time. I also show that for almost all t, the limiting interface is ( d 1)-rectifiable with a square-integrable mean-curvature v...

The Copernican principle remains largely unproven at Gpc radial scale and above. Generally, violations of this type cause a first-order anisotropic kinetic Sunyaev Zel'dovich (kSZ) effect. Here we show that, if large-scale radial inhomogeneities have amplitude large enough to explain the 'dark energy' phenomena, the induced kSZ power spectrum will be orders of magnitude larger than the Atacama ...

The theorem of Hochster and Roberts says that for any module V of a linearly reductive group G over a eld K the invariant ring KV ] G is Cohen-Macaulay. We prove the following converse: if G is a reductive group and KV ] G is Cohen-Macaulay for any module V , then G is linearly reductive.

A dynamic gate floating design is proposed to improve ESD robustness of the CMOS output buffers with small drive capability. By using this novel design, the human-body-model (machine-model) ESD failure threshold of a 2-mA CMOS output buffer has been practically improved from 1 KV (100 V) to greater than 8 KV (1500 V) in a 0.35m CMOS process.

Flow over a downstream-facing step is predicted using the F.E.M. A two-equation model of turbulence is employed where the transport of turbulence kinetic energy and dissipation rate are depicted using transport-type equations, i.e. the two-equation model of turbulence. The results obtained are compared with other models and experimental results. Generally, the model was found to be under-predic...

application of chemical pesticides has increased significantly worldwide and has raised serious concerns about environmental pollutions. one of the encouraging trends to minimize pesticide risk is production of resistant plants containing toxic proteins against insect pests. considering the importance of purification and characterization of digestive enzymes in the production of resistant plant...