Fluid flow in pipes with discontinuous cross section or kinks is described through balance laws a non conservative product the source. At jump discontinuities pipes’ geometry, physics of problem suggests how to single out solution. On this basis, we present definition solution for general BV geometry and prove an existence result, consistent limiting procedure from piecewise constant geometries...

Exact measurements or modeling of human exposures to environmental pollutants are of crucial importance for a realistic evaluation of public health risks. Current concepts, however, often use assumptions that result in overly conservative assessments of public health risks. Too frequently the dose of the pollutant retained in the body is approximated by oversimplified predictions assuming that ...

As it is known that General Theory of Relativity does not explain the current acceleration universe, so there are many attempts to generalize this theory in order cosmic without introducing some dark components such as Dark Energy. Because crowd models literature, a need check according criteria arises. In study, we analyze two classes by means energy condition restrictions and illustrate analy...

A reduced fresh water supply, e.g. as a consequence of climate change, can cause an increased salinization (coastal) surface systems and accurate, robust computationally efficient models are needed to study these phenomena. While machine learning (ML) techniques rapidly gaining popularity, their application is not straightforward ‘black-box’ structure typically interpretable, making the unrelia...