Let R be a ring with 1 and D unitary left Module over R. In this paper, we present purely semi small compressible Modules. Also, give remarks examples, many properties of such Modules are investigated.

We give in this paper a short review of some recent achievements within the framework of multiphase flow modeling. We focus first on a class of compressible two-phase flow models, detailing closure laws and their main properties. Next we briefly summarize some attempts to model two-phase flows in a porous region, and also a class of compressible three-phase flow models. Some of the main difficu...

Despite their diversity, it is well known that traffic anomalies share a common characteristic: they introduce changes in the traffic behavioral aspects defined by certain traffic features, i.e. packet header fields. To apply traffic features for anomaly detection and identification, one promising class of approaches, which were proposed recently [1] [2] [3], have their basis on some analysis o...

Compressible vortex sheets are fundamental waves, along with shocks and rarefaction waves, in entropy solutions to multidimensional hyperbolic systems of conservation laws. Understanding the behavior of compressible vortex sheets is an important step towards our full understanding of fluid motions and the behavior of entropy solutions. For the Euler equations in two-dimensional gas dynamics, th...

The Euler-Maxwell equations as a hydrodynamic model of charge transport of semiconductors in an electromagnetic field are studied. The global approximate solutions to the initial-boundary value problem are constructed by the fractional Godunov scheme. The uniform bound and H−1 compactness are proved. The approximate solutions are shown convergent by weak convergence methods. Then, with some new...

Even if air and other gases appear to be quite compressible in our daily doings, we have until now only analyzed incompressible flow and sometimes applied it to gases. The reason is— as pointed out before—that a gas in steady flow “prefers to get out of the way” rather than become compressed when it encounters an obstacle. Unless one entraps the gas, for example in a balloon or bicycle tire, it...