We prove the existence of a solution to the degenerate parabolic Cauchy problem with a possibly unbounded Radon measure as an initial data. To accomplish this, we establish a priori estimates and derive a compactness result. We also show that the result is optimal in the Euclidian setting.

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...

The extraction of gold involves using cyanide which has the potential to impact the environment. Many studies have been done to reduce the environmental effects of cyanide. In this research, the cyanide adsorption on zeolite from gold processing plant tailing dam wastewater was investigated. Results indicated that the pH of the solution, contact time duration, temperature, zeolite amo...

We used gratings and shapes defined by relative motion to study selectivity for static kinetic boundaries in macaque V4 neurons. Kinetic gratings were generated by random pixels moving in opposite directions in the neighboring bars, either parallel to the orientation of the boundary (parallel kinetic grating) or perpendicular to the boundary (orthogonal kinetic grating). Neurons were also teste...

[Purpose] The purpose of the present study was to analyze the effects of open kinetic chain and closed kinetic chain exercises on the static and dynamic balance of ankle joints in young healthy women. [Subjects and Methods] Twenty women in their 20s were randomly assigned to two groups of ten women each: an open kinetic chain exercise group and a closed kinetic chain exercise group. Each group ...