The Euler equations for a non-homogeneous, non-viscous ~ompressible fluid are shown to be well-posed for a short time interval~ using techniques of infinite dimensional geometry and a weighted Hodge theorem. Regularity and other properties of these solutions are pointed out as well. !. Introduction. In [2], D. Ebin and the author introduced a technique for solving the Euler equations for a perf...

Introduction Wavelet denoising has been widely used in signal processing to remove noise while preserving edges and spikes in the data, with minimal smoothing. A standard approach is wavelet shrinkage (WS) of the wavelet coefficients, dj, j = 1,...,n, [1,2] using a threshold t =σ 2 log n , a decision theoretic result based on risk minimization. Another approach is to treat thresholding as a hyp...

The chemical industry is under considerable pressure to replace many of the volatile organic compounds (VOCs) that are currently used as solvents in organic synthesis. The toxic and/or hazardous properties of many solvents, notably chlorinated hydrocarbons, combined with serious environmental issues, such as atmospheric emissions and contamination of aqueous effluents is making their use prohib...

Field trials have demonstrated that foamed gel is a very cost-effective technology for profile modification and water shut-off. However, the mechanisms of profile modification and flow behavior of foamed gel in non-homogeneous porous media are not yet well understood. In order to investigate these mechanisms and the interactions between foamed gel and oil in porous media, coreflooding and pore-...