This paper characterizes the possible blow-up of solutions for 3D magneto-hydrodynamics (MHD short) equations. We first establish some ϵ-regularity criteria in Lq,∞ spaces suitable weak solutions, and then together with an embedding theorem from Lp,∞ space into a Morrey type we characterize local behaviors near potential singular point. More precisely, show that if z0=(t0,x0) is point, any r>0 ...

We examine quenched chiral logarithms in lattice QCD with overlap Dirac quarks. From our data of m π , we determine the coefficient of quenched chiral logarithm δ = 0.203(14), 0.176(17), 0.193(17) and 0.200(13) for lattices of sizes 8 × 24, 10 × 24, 12 × 24 and 16 × 32 respectively. Also, for the first three lattice sizes, we measure the index susceptibility of the overlap Dirac operator, and u...

20 Amiloride-sensitive epithelial Na channels (ENaC) can be formed by different combinations of 21 four homologous subunits, named α, β, γ and δ. In addition to providing an apical entry pathway for 22 transepithelial Na reabsorption in tight epithelia such as the kidney distal tubule and collecting duct, 23 ENaCs are also expressed in non-epithelial cells, where they may play different functio...

Polycyclic aromatic hydrocarbon (PAH) concentrations and N, C stable isotope signatures were determined in mosses Hypnum cupressiforme Hedw. from 61 sites of 3 European regions: Île-de-France (France); Navarra (Spain); the Swiss Plateau and Basel area (Switzerland). Total PAH concentrations of 100-700 ng g(-1), as well as δ(13)C values of -32 to -29‰ and δ(15)N values of -11 to -3‰ were measure...

The Randić index, R, also known as the connectivity or branching index, is an important topological index in chemistry. In order to attack some conjectures concerning the Randić index, Dvořák et al. [European J. Combin. 32 (2011), 434–442] introduced a modification of this index, denoted by R′. In this paper we present some of the basic properties of R′. We determine graphs with minimal and max...

Δ(9)-Tetrahydrocannabinol (THC), the main psychoactive component of marijuana, produces motor and motivational effects via interactions with the dopaminergic system in the caudate-putamen and nucleus accumbens. However, the molecular events that underlie these interactions after THC treatment are not well understood. Our study shows that pretreatment with dopamine D1 receptor (D1R) antagonists ...

We define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital Banach algebra A and show that the δ-approximate spectrum σ_δ (a) of a is compact. The relation between the δ-approximate spectrum and the usual spectrum is investigated. Also an analogue of the classical Gleason-Kahane-Zelazko theorem is established: For each ε>0, there is δ>0 such that if ϕ is...

This investigation elucidated the underlying mechanisms of functional impairments in patients with heart failure (HF) by simultaneously comparing cardiac-cerebral-muscle hemodynamic and ventilatory responses to exercise among HF patients with various functional capacities. One hundred one patients with HF [New York Heart Association HF functional class II (HF-II, n = 53) and functional class II...