Characteristic Equation of Crater Wear

Dry and Wet Wear Characteristic of TiO2 Thin Film Prepared by Magnetic Sputtering in Ringer Solution

In this research, a thin film of TiO2 was applied on AZ91D using the method of magnetic sputtering. Microstructure investigations were done using field emission scanning electron microscope (FESEM) and X-ray diffraction (XRD). Wear resistance for the coating was investigated using the pin on the disk in the form of dry and in the Ringer's solution. After this test, the worn surface of the sampl...

Characteristic Surface Data for the Eikonal Equation

A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauchy data, is extended to the case of data given on a characteristic surface. We find a beautiful relationship between the Cauchy and characteristic data for the same solution, namely they are related by a Legendre transformation. From the resulting solutions, we study and describe the wave-front si...

Characteristic Strichartz Estimates for the Wave Equation

Integral Equation Analysis with Characteristic Basis Functions

On the Stability of Characteristic Schemes for the Fermi Equation

We study characteristic schemes for a model problem for the Fermi pencil beam equation. The objective is twofold: (i) To design eecient and accurate numerical schemes based on the principle of solving a particle transport problem, exactly, on each collision free spatial segment combined with a projection on each collision site, from a pre collision angle and energy coordinates (AE) to a post co...