We study the asymptotic limit as the density ratio ρ−/ρ+ → 0, where ρ+ and ρ− are the densities of two perfect incompressible 2-D/3-D fluids, separated by a surface of discontinuity along which the pressure jump is proportional to the mean curvature of the moving surface. Mathematically, the fluid motion is governed by the two-phase incompressible Euler equations with vortex sheet data. By resc...

given the sensitivity of current ground-based gravitational wave (gw) detectors, any continuous-wave signal we can realistically expect will be at a level or below the background noise. hence, any data analysis of detector data will need to rely on statistical techniques to separate the signal from the noise. while with the current sensitivity of our detectors we do not expect to detect any tru...

 (Φp(ρ(t)x (t))) + q(t)f(t, x(t), x(t)) = 0, t 6= ti, t ∈ J, ∆x(ti) = Ii(x(ti)), −∆Φp(ρ(ti)x (ti)) = Ji(x(ti)), i = 1, 2, . . . , m, x(0) = ax(ξ), lim t→+∞ ρ(t)x(t) = 0, here J = [0,+∞), Φpx := |x| x, p > 1, 0 = t0 < t1 < · · · < tm < ∞, a > 0, 0 ≤ ξ <∞, aξ < 1, ρ, Ii, Ji, q, f satisfy the following assumptions (H1) ρ ∈ C[0,+∞) ∩ C(0,+∞), ρ(t) > 0 is increasing on [0,+∞), ∫∞ 0 1 ρ(t) dt <∞; (H...

For an arbitrary invariant ρ(G) of a graph G, the ρ−vertex stability number vsρ(G) is minimum vertices G whose removal results in H⊆G with ρ(H)≠ρ(G) or E(H)=∅. In this paper, first we give some general lower and upper bounds for ρ-vertex number, then study edge chromatic vertex graphs, vsχ′(G), where χ′=χ′(G) (chromatic index) G. We prove parameter determine vsχ′(G) specific classes graphs.

We build a model to describe neutrinos based on strict hierarchy, incorporating as much as possible, the latest known data, for ∆sol and ∆atm, and for the mixing angles determined from neutrino oscillation experiments, including that from KamLAND. Since the hierarchy assumption is a statement about mass ratios, it lets us obtain all three neutrino masses. We obtain a mass matrix, Mν and a mixin...

In this paper, we take an in-depth look at the analytical structure of material transfer functions which govern acoustic and elastic response. These include wavenumber (κ) in such media refractive index (n′), density (ρ) its inverse, stiffness (C) compliance (D) tensors as well Bulk modulus (B), finally broader generalization these properties is now known Willis tensor (L). Our goal to clarify ...

presented is a method of two-dimensional analysis of the active earth pressure due to simultaneous effect of both soil weight and surcharge of strip foundation. the study’s aim is to provide a rigorous solution to the problem in the framework of upper-bound theorem of limit analysis method in order to produce some design charts for calculating the lateral active earth pressure of backfill when ...

In this paper, we study exhaustions, referred to as ρ-restrictions, of arbitrary nonelementary Kleinian groups with at most finitely many bounded parabolic elements. Special emphasis is put on the geometrically infinite case, where we obtain that the limit set of each of these Kleinian groups contains an infinite family of closed subsets, referred to as ρ-restricted limit sets, such that there ...