Existence and uniqueness of solutions for Hele-shaw moving boundary problem for power-law fluid is established in the framework of viscosity solutions.

In this paper we provide generalizations of Zubov’s equation to differential games without Isaacs’ condition. We show that both generalizations of Zubov’s equation (which we call min-max and max-min Zubov equation, respectively) possess unique viscosity solutions which characterize the respective controllability domains. As a consequence, we show that under the usual Isaacs condition the respec...

In this paper we study the generalized mean curvature flow of sets in the sub-Riemannian geometry of Carnot groups. We extend to our context the level sets method and the weak (viscosity) solutions introduced in the Euclidean setting in [29] and [14]. We establish two special cases of the comparison principle, existence, uniqueness and basic geometric properties of the flow.

The presence of systematic noise in images in high-throughput microscopy experiments can significantly impact the accuracy of downstream results. Among the most common sources of systematic noise is non-homogeneous illumination across the image field. This often adds an unacceptable level of noise, obscures true quantitative differences and precludes biological experiments that rely on accurate...

We evaluated the in vitro and in vivo activity of a novel topical myeloperoxidase-mediated antimicrobial, E-101 solution, against 5 multidrug-resistant Acinetobacter baumannii isolates recovered from wounded American soldiers. Time-kill studies demonstrated rapid bactericidal activity against all A. baumannii strains tested in the presence of 3% blood. The in vitro bactericidal activity of E-10...

conclusions it seems that there is no difference in the use of heparinized and normal saline solutions to prevent catheter occlusion of arterial and central venous pressure. patients and methods in the current randomized controlled trial, 100 patients, with an age range of 18 - 65 years of valve and coronary artery surgery were studied in rajaie heart center, tehran, iran. patients were randomi...

abstract background: the radiographic image accuracy depends on the x-ray film information visibility. good visibility is found by good contrast. radiation exposure parameters (kvp, mas) and film processing conditions have impact on contrast. in dentistry radiography machines, exposure time and processing procedure are set by radiographer. no optimized exposure time and processing conditions ma...

atropine (at) and oximes, alone or in combination, have been proven greatly valuable therapeutics in the treatment of organophosphates intoxications. an injectable mixture of at and obidoxime (ob) was formulated for administration by automatic self-injector. the aqueous single dose solution contained 275 mg obidoxime chloride and 2.5 mg atropine sulfate per 1 ml (220 mg and 2 mg per 0.8 effecti...