We study the n-dimensional magnetohydrodynamic-α (MHD-α) model in the whole space. Various regularity criteria are established with n ≤ 8, in this paper. As a corollary, the strong solution to this model exists globally, as n ≤ 4. When n = 4, uniqueness of weak solutions is also proved.

objective: due to the high incidence of bacterial vaginosis (bv) and its resistance to chemical medications and considering the anti-bacterial and anti-fungal effects of myrtus communis, the present study aimed to compare the therapeutic effects of the vaginal gel of m. communis 2% (in metronidazole base) with metronidazole vaginal gel 0.75% alone on bv.materials and methods: this research was ...

The submodules with the property of the title ( a submodule $N$ of an $R$-module $M$ is called strongly dense in $M$, denoted by $Nleq_{sd}M$, if for any index set $I$, $prod _{I}Nleq_{d}prod _{I}M$) are introduced and fully investigated. It is shown that for each submodule $N$ of $M$ there exists the smallest subset $D'subseteq M$ such that $N+D'$ is a strongly dense submodule of $M$ and $D'bi...

This paper describes an approach to incorporating environmental risk evaluation criteria within IMO’s guidelines for Formal Safety Assessment (FSA). Such criteria are currently absent from FSA, and the discussion to include them has just started. Said criteria are relevant for evaluating on a cost-benefit basis Risk Control Options (RCOs) for reducing oil spill pollution risk. Oil pollution may...

This paper deals with constrained optimization of Markov Decision Processes with a countable state space, compact action sets, continuous transition probabilities, and upper semi-continuous reward functions. The objective is to maximize the expected total discounted reward for one reward function, under several inequality constraints on similar criteria with other reward functions. Suppose a fe...

background: there is a long lasting dilemma over the ideal screening and diagnostic method in gestational diabetes mellitus (gdm). even though universal screening is commonly practiced, selective screening based on risk factors is also practiced in some center. the aim of this study is to evaluate the most appropriate method to screen gdm in high‑risk pregnant women in sri lanka. methods: this ...

in this study, effective criteria on process of tourism areas selection were collected due to macro planning of capable areas to tourism sample regions in khorasan razavi province. then, their priority was carried out based on delphi method. after determining the relative weights and criteria priorities, the map of capable areas to planning tourism sample regions was obtained at the province le...