We consider a chain of nonlinear oscillators with long-range interaction of the type 1l(1+alpha), where l is a distance between oscillators and 0<alpha<2. In the continuous limit, the system's dynamics is described by a fractional generalization of the Ginzburg-Landau equation with complex coefficients. Such a system has a new parameter alpha that is responsible for the complexity of the medium...

Antisera generated against each of the nine known chemotypes of Salmonella lipopolysaccharide (LPS) core were characterized in order to delineate cross-reactive epitopes and define the bases for their accessibility. Strongly cross-reactive epitopes were associated with three chemotypes: Ra and Rb4, which recognized alpha-GlcNAc-1-->2-alpha-Glc, and Rd1, which recognized L-alpha-D-heptose-1-->7-...

Abstract A series of new physics scenarios predict the existence extra charged gauge boson , which can induce charged-current (CC) non-standard neutrino interactions (NSIs). The theoretical constraints on simplified model and further CC NSI parameters \widetilde{\epsilon}^{ qq'Y}_{\alpha\beta} from partial wave unitarity decays are considered. sensitivity process p \rightarrow ...

In this note, we consider the homogenization of compressible Navier-Stokes equations in a periodically perforated domain $\mathbb{R}^3$. Assuming that particle size scales like $\varepsilon^3$, where $\varepsilon>0$ is their mutual distance, and Mach number decreases fast enough, show limit $\varepsilon\to 0$, velocity density converge to solution incompressible with Brinkman term. We strongly ...

In this paper we obtain an upper bound and also a lower bound for maximum edges of strongly 2 multiplicative graphs of order n. Also we prove that triangular ladder the graph obtained by duplication of an arbitrary edge by a new vertex in path and the graphobtained by duplicating all vertices by new edges in a path and some other graphs are strongly 2 multiplicative

In this paper, we investigate three-phase eutectic growth during thin-film directional solidification of a model symmetric ternary alloy. contrast to two-phase eutectics that have only single possibility, ${\alpha}{\beta}{\alpha}{\beta}$..., as the pattern, infinite possibilities exist. Here, explore possible existence pattern selection influenced by change in solid-solid interfacial energies a...

Let $ A be a closed linear operator defined on complex Banach space X $. We show novel representation, using strongly continuous families of bounded operators \mathbb{N}_0 $, for the unique solution following time-stepping scheme \begin{document}$ \begin{eqnarray*} (*)\left\{ \begin{array}{rcl} \,_C \nabla^{\alpha} u^n&amp; = &amp;Au^{n}+f^{n}, \quad n\geq 2;\\ u^0&amp; &amp;u_0; \\ u^1&amp; &a...

‎In this paper‎, ‎we introduce the notion of strongly $k-$spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets)‎. ‎We characterize the strongly $k-$spaces and investigate the relationships between preclosedness‎, ‎locally strongly compactness‎, ‎pre-first countableness and being strongly $k-$space.

Ground-state properties of finite drops $\ensuremath{\alpha}$ particles (Q-balls) are studied within a field-theoretical approach in the mean-field approximation. The strong interaction $\ensuremath{\alpha}$'s is described by scalar field with sextic Skyrme-like potential. radial profiles and Coulomb fields found solving coupled system Klein-Gordon Poisson equations. formation shell-like nuclei...

We consider the boundary value problem $$\displaylines{ - \Delta u + c(x) = \alpha m(x) u^+ \beta u^- +f(x,u), \quad x \in \Omega, \cr \frac{\partial u}{\partial \eta} \sigma (x) =\alpha \rho u^+- +g(x,u), \partial }$$ where \((\alpha, \beta) \mathbb{R}^2\), \(c, m L^\infty (\Omega)\), \(\sigma, (\partial\Omega)\), and nonlinearities f g are bounded continuous functions. study asymmetric (Fucik...