We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all projectable symmetr...

Introduction: In order to deal with disastrous situations needing massive healthcare support, a new tool, financed by FEDER European funds (Interreg POCTEFA program) has been designed: the multipurpose mobile hospital Europe Occitanie (UMPEO). It is projectable, foldable, versatile and autonomous truck an interchangeable function from advanced medical post operational command center, for acute ...

The existence of lateral completions of `-groups is an old problem that was first solved, for conditionally complete vector lattices, by Nakano [5]. The existence and uniqueness of lateral completions of representable `-groups was first obtained as a consequence of the orthocompletions of Bernau [1], and later the proofs were simplified by Conrad [3], who also proved the existence and uniquenes...

The standard $\Lambda$CDM model despite its agreement with observational data still has some issues unaddressed, lie the problem of initial singularity. Solving that usually requires modifications general relativity. However, there appeared Ho\v{r}ava-Lifshitz (HL) theory gravity, in which equations governing cosmological evolution include a new term scaling similarly as dark radiation Friedman...

This paper reviews a cyclic scheduling model of repetitive manufacturing environments consisting of exible machines and multi-stage jobs. We explicitly model two system performance measures, throughput and ow time, while incorporating variability arising from uncertainty in operation processing times. We present an iterative approximation scheme to estimate the two moment behavior of our perfor...

We examine the relationships between the differential invariants of objects and of their images under a surjective map. We analyze both the case when the underlying transformation group is projectable and hence induces an action on the image, and the case when only a proper subgroup of the entire group acts projectably. In the former case, we establish a constructible isomorphism between the al...

We examine the relationships between the differential invariants of objects and of their images under a surjective maps. We analyze both the case when the underlying transformation group is projectable and hence induces an action on the image, and the case when only a proper subgroup of the entire group acts projectably. In the former case, we establish a constructible isomorphism between the a...