<p style='text-indent:20px;'>After the pioneering work by Giovangigli on mathematics of multicomponent flows, several attempts were made to introduce global weak solutions for PDEs describing dynamics fluid mixtures. While incompressible case with constant density was enlighted well enough due results Chen and Jüngel (isothermal case), or Marion Temam, some open questions remain solution ...

This paper describes how the proper priority structure of non-linear goal programming (NLGP) model can be selected for obtaining economic order quantity(EOQ) of multi-item inventory problems. In the solution process, sensitivity analysis of the priority under the given weight structure of goals has been performed. A set of solution is obtained. From the solutions, the ideal solution is identifi...

In this paper, the cost of generation and system transmission losses have been considered as objectives for optimization. The multiobjective optimal power dispatch (MOPD) problem is formulated using weighting method and a number of noninferior solutions are generated in 2D space by varying weights for IEEE 5, 14 and 30 bus systems – manually using GA technique, by using GA toolbox of MATLAB R20...

We provide solutions to several problems of Foreman about ideals, several of which are closely related to Mitchell’s notion of strongly proper forcing. We prove: (1) Presaturation of a normal ideal implies projective antichain catching, enabling us to provide a solution to a problem from Foreman [8] about ideal projections which is more comprehensive and simpler than the solution obtained in [4...

Users can often naturally express their preferences in terms of ideal or non-ideal solutions. We show how to reason about logical combinations of distance constraints on ideals and non-ideals using a novel global constraint. We evaluate our approach on both randomly generated and real-world configuration problem instances.

Critical and private applications of smart and connected objects such as health-related objects are now common, thus raising the need to design these objects with strong security guarantees. Many recent works offer practical hardware-assisted security solutions that take advantage of a tight cooperation between hardware and software to provide system-level security guarantees. Formally and cons...

in this paper, we introduce a new generalization of weakly prime ideals called $i$-prime. suppose $r$ is a commutative ring with identity and $i$ a fixed ideal of $r$. a proper ideal $p$ of $r$ is $i$-prime if for $a, b in r$ with $ab in p-ip$ implies either $a in p$ or $b in p$. we give some characterizations of $i$-prime ideals and study some of its properties.  moreover, we give conditions  ...