We revisit the local well-posedness theory of nonlinear Schrödinger and wave equations in Sobolev spaces Hs H˙s, 0<s≤1. The has been well established over past few decades under initial data regular with respect to all spatial variables. But here, we reveal that do not need have complete regularity like spaces, but only partially some variables is sufficient. To develop such a new theory, sugge...

BACKGROUND Penetrating aortic trauma remains one of the most challenging injuries with a high mortality rate if left untreated, or if the surgical treatment is delayed. We present an uncommon case of a late diagnosed abdominal firearm injury, in which the bullet partially penetrated the wall of the aorta, creating a plug that prevented immediate death due to massive bleeding. CASE PRESENTATIO...

PURPOSE Penetrating keratoplasty and epikeratoplasty have been utilized in the surgical treatment of keratoconus. Comparison of the relative efficacy of each procedure in achieving visual outcomes has not been achieved due to limited numbers of cases and follow-up in previous series. METHODS All patients who underwent either penetrating keratoplasty or epikeratoplasty for keratoconus between ...

Background. Gunshot injuries occupy one of the leading places in a number (combat injuries) that occur military conflicts.&#x0D; Aim. To study effect gunshot wounds chest (penetrating and non-penetrating), as well closed trauma on respiratory function.&#x0D; Materials methods. The included 78 patients with diagnosis combined trauma, including penetrating/non-penetrating wound or injuries. media...

BACKGROUND Double-blind evaluation of acupuncture treatment has not previously been reported. We investigated the possible advantage of analgesic effects of needle penetration compared with skin pressure using non-penetrating needles in a double-blind study. METHODS We conducted a double-blind crossover study of penetrating and non-penetrating (placebo) acupuncture trials. We recruited 56 hea...

Nanoparticles that readily penetrate mucosal layers are desirable for a variety of biomedical applications. Nevertheless, most nanoparticles tend to be immobilized in mucus via steric and/or adhesive interactions. Contrary to the established opinion that poly(vinyl alcohol) (PVA) is mucoadhesive, we discovered that coating otherwise mucoadhesive nanoparticles with certain partially hydrolyzed P...

The standard formulation of a block-centered finite-difference model, such as MODFLOW, uses the center of the cell as the location of a cell node. Simulations of a dynamic water table can be improved if the node of a cell containing the water table is located at the water table rather than at the center of the cell. The LPF package of MOD-FLOW-2000 was changed to position a cell's node at the w...

BACKGROUND Penetrating trauma of the neck and face is a frequent presentation to acute emergency, trauma and critical care units. There remains a steady incidence of both gunshot penetrating injury to the neck and face as well as non-missile penetrating injury-largely, but not solely, knife-related. Optimal imaging assessment of such injuries therefore remains an on-going requirement of the gen...

An approximate analytical solution to the advection-dispersion equation was derived to describe solute transport during spherical-flow conditions in single-well push-pull tests. The spherical-flow case may be applicable to aquifer tests conducted in packed intervals or partially penetrating wells. Using results of two-dimensional numerical simulations, we briefly illustrate the applicability of...

[1] New semianalytical solutions for evaluation of the drawdown near horizontal and slanted wells with finite length screens in unconfined aquifers are presented. These fully three-dimensional solutions consider instantaneous drainage or delayed yield and aquifer anisotropy. As a basis, solution for the drawdown created by a point source in a uniform anisotropic unconfined aquifer is derived in...