The (ordinary) Sachs–Wolfe effect relates primordial matter perturbations to the temperature variations δT/T in the cosmic microwave background radiation; δT/T can be observed in all directions around us. A standard but idealised model of this effect leads to an infinite set of moment-like equations: the integral of P (k) j2 ` (ky) with respect to k (0 < k < ∞) is equal to a given constant, C`,...

We consider the problem of collisions of vortex filaments for a model introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88, Z99] to describe the interaction of almost parallel vortex filaments in three-dimensional fluids. Since the results of Crow [C70] examples of collisions are searched as perturbations of antiparallel translating pairs of filaments, with initial perturbations r...

Penetration, development, and reproduction of a virulent 'Harmony' population of Meloidogyne arenaria was studied on two nematode-resistant grape rootstocks 10-17A and 6-19B. 'Cabernet Sauvignon' was used as a susceptible control for comparison. Plants were inoculated with 100 freshly hatched second-stage juveniles (J2) of M. arenaria. Greater numbers of J2 penetrated roots of 'Cabernet' than 1...

We complete a full classification of non-degenerate traveling waves scalar balance laws from the point view spectral and nonlinear stability/instability under (piecewise) smooth perturbations. A striking feature our analysis is elucidation prominent role characteristic points in determination both spectra linearized operators phase dynamics involved large-time evolution. For generic class equat...

A gauge-invariant treatment of the monopole- ($l=0$) and dipole ($l=1$) modes in linear perturbations Schwarzschild background spacetime is proposed. Through this treatment, we derived solutions to linearized Einstein equation for these with a generic matter field. In vacuum case, include Kerr parameter $l=1$ odd additional mass $l=0$ even modes. The version Birkhoff's theorem also confirmed ma...

A macroscopic approximation of RNA secondary structure (Vialette, CPM 2002): • a subsequence of consecutive bases → an interval • a stacked pairing of two disjoint subsequences → a 2interval Three Binary Relations For two 2-intervals D1 = (I1, J1) and D2 = (I2, J2), D1 and D2 are disjoint if the four intervals I1, J1, I2, and J2 are pairwise disjoint. Preceding: D1 < D2 ⇐⇒ I1 < J1 < I2 < J2. Ne...

The conditions for the existence of negative-energy perturbations (which could be nonlinearly unstable and cause anomalous transport) are investigated in the framework of linearized collisionless Maxwell-drift kinetic theory for the case of equilibria of magnetically confined, circularly cylindrical plasmas and vanishing initial field perturbations. For wave vectors with a non-vanishing compone...

High frequency perturbations u of a weak planar two dimensional isentropic slightly viscous shock are shown to give a geometric optics expansion u = e if== (u 0 + u 1), where the gradients of the phase functions rf solve eikonal equations related to Rie-mann problems for classical and over-compressive shocks. The main result is a rigorous expansion of the linearized equations describing in deta...

This paper is concerned with the asymptotic behaviors of global strong solutions to incompressible non-resistive viscous magnetohydrodynamic (MHD) equations large initial perturbations in two-dimensional periodic domains Lagrangian coordinates. First, motivated by odevity conditions imposed Pan et al. (2018) [24], we prove existence and uniqueness under some class perturbations, where strength ...

The presence of calcium and humic substances or natural organic matter (NOM) in surface waters can cause severe fouling of nanofiltration (NF) membranes. Conditions of fouling were studied using a stainless steel stirred cell of volume 185 mL and a membrane area of 21.2*10-4m2 at a transmembrane pressure of 5 bar. Deposition of organic matter was determined by mass balance in feed and concentra...