Schrödinger–Poisson system with zero mass and convolution nonlinearity in R 2

In this paper, we prove the existence of nontrivial solutions and ground state solutions for the following planar Schrödinger–Poisson system with zero mass − Δ u + ϕ u = ( I α ∗ F ( u ) ) f ( u ) , x ∈ R 2 , Δ ϕ = u 2 , x ∈ R 2 , where α ∈ ( 0 , 2 ), I α : R 2 → R is the Riesz potential, f ∈ C ( R , R ) is of subcritical exponential growth in the sense of Trudinger–Moser. In particular, some new ideas and analytic technique are used to overcome the double difficulties caused by the zero mass case and logarithmic convolution potential.

Rare cause of unexplained hypertension in an oligomenorrheic adolescent girl with adnexal mass: case report and review of literature

A 17-year-old girl with oligomenorrhoea was detected to have hypertension and right adnexal solid-cystic mass, 6×8 cm on ultrasound. Hormone profile was normal, CA-125 was 132.5 U/mL, other tumour markers were in normal range; though RMI-4 and ROMA index suggested malignancy. Patient underwent exploratory laparotomy, peritoneal wash cytology, right salpingo-oophorectomy, pelvic lymphadenectomy and omental biopsy. Intraoperative frozen-section revealed ovarian steroid cell tumour. Later, steroid cell tumour-not otherwise specified (SCT-NOS) was confirmed on histopathology and immunohistochemistry. When followed three months post-surgery, patient had resumed 30-32 days menstrual-cycle, and she was normotensive without medications. This case is being reported to emphasize that imaging though not recommended for evaluation of PCOS in adolescence; and measuring blood-pressure which is often skipped in young women; proved crucial in this patient.

Towards a Framework of Operational-Risk Assessment for a Maritime Autonomous Surface Ship

Global research interest in the domain of maritime autonomous surface ships (MASS) is dramatically increasing. With new prototypes planned to be set to the seas where various operational modes (OMs) are claimed, the issue of the safety evaluation of an MASS, and criteria for selecting the appropriate OM for given conditions remain open questions. This paper proposes a four-step risk-informed framework to assess risk in a scenario for an MASS operating at one of three OMs: manual control (MC), remote control (RC), and autonomous control (AC). To this end, the concept of risk priority numbers (RPNs), adopted from failure mode and effects analysis (FMEA), is utilized. The required parameters to defined RPNs are obtained in the course of analyzing a model MASS accident with expert knowledge. The applicability of the proposed framework is demonstrated via a model MASS case study. Results reveal that, in the same scenario, the risk of MASS varied across the analyzed OMs. On the basis of the aggregated results for each operational mode, suggestions for OM switching are put forward.

Forensic injury characteristics in explosive trauma mass case

The use of improvised explosive devices for terrorist purposes in crowded areas forms explosive trauma as a form of violent peacetime trauma. The forensic aspect of such events is associated with the reconstruction of explosion circumstances, in which the structure of organs and tissues damage of the body is important, as morphological equivalents of damaging factors impact. Based on the archival material of forensic medical examinations, identical mass cases of explosive trauma are summarized, in the assessment of which the characteristics of explosion damaging factors and the damage to the body corresponding to their effects are given, which can be used in forensic practice to establish the conditions and circumstances of the explosion, as well as the reconstruction of these events.