We establish global regularity and stability for the irrotational relativistic Euler equations with equation of state $$\bar{p}{}=K\bar{\rho }{}$$ , where $$0<K<1/3$$ small initial data in expanding direction FLRW spacetimes form $$(\mathbb R\times \mathbb T^3,-d\bar{t}{}^2+\bar{t}{}^2\delta _{ij} dx^i dx^j$$ ). This provides first case non-dust fluid stabilization by spacetime expansion rate i...

Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy p...

The differential cross-section in squared momentum transfer of $\rho$, $\rho^0$, $\omega$, $\phi$, $f_{0}(980)$, $f_{1}(1285)$, $f_{0}(1370)$, $f_{1}(1420)$, $f_{0}(1500)$, and $J/\psi$ produced high energy virtual photon-proton ($\gamma$$^{*} p$), ($\gamma proton-proton ($pp$) collisions measured by the H1, ZEUS, WA102 Collaborations are analyzed Monte Carlo calculations. In calculations, Erla...

Endothelial dysfunction in kidney vasculature is the initial and key element for nephropathy in diabetes mellitus. Accumulating evidence suggests the protective role of Rho kinase inhibitors in endothelial dysfunction via modulating eNOS activity and NO production. However, the role of Rho kinase in diabetes-related endothelial dysfunction in kidney vasculature and the relevant mechanisms remai...

A mapping $f:V^n longrightarrow W$, where $V$ is a commutative semigroup, $W$ is a linear space and $n$ is a positive integer, is called multi-additive if it is additive in each variable. In this paper we prove the Hyers-Ulam stability of multi-additive mappings in 2-Banach spaces. The corollaries from our main results correct some outcomes from [W.-G. Park, Approximate additive mappings i...

We present here the details of a method [A. B. Culver and N. Andrei, Many-body wavefunctions for quantum impurities out equilibrium, Phys. Rev. B 103, L201103 (2021)] calculating time-dependent many-body wavefunction that follows local quench. apply to voltage-driven nonequilibrium Kondo model find exact time-evolving following quench where dot is suddenly attached leads at $t=0$. The method, w...

AIM To determine lipid species that change in response to a change in dairy consumption. In addition, to investigate whether dairy associated lipid species are correlated with changes in measures of vascular structure and function. METHODS A 12-mo randomised controlled trial was conducted to determine the effect of increased consumption of fruit, vegetables and dairy, compared to usual diet, ...

Binding of the urokinase-type plasminogen activator (uPA) to its receptor activates diverse cell signaling pathways. How these signals are integrated so that cell physiology is altered remains unclear. In this study, we demonstrated that migration of MCF-7 breast cancer cells and HT-1080 fibrosarcoma cells on serum-coated surfaces is stimulated by agents that activate ERK, including uPA, epider...

In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...

We study the spin-exotic $J^{PC} = 1^{-+}$ amplitude in single-diffractive dissociation of 190 GeV$/c$ pions into $\pi^-\pi^-\pi^+$ using a hydrogen target and confirm $\pi_1(1600) \to \rho(770) \pi$ amplitude, which interferes with nonresonant $1^{-+}$ amplitude. demonstrate that conflicting conclusions from previous studies on these amplitudes can be attributed to different analysis models tr...