This paper is concerned with the Cauchy problem of multi-dimensional incompressible magnetohydrodynamic equations inhomogeneous density and fractional dissipation. It shown that when α+β=1+n2 satisfying 1≤β≤α≤min{3β2,n2,1+n4} max{n4,n+16}<α for n≥3, MHD have a unique global strong solution initial data in some Sobolev spaces without requiring small conditions.

A new nontrivial U(1) gauge extension of the Minimal Supersymmetric Standard Model (MSSM) is proposed which automatically conserves baryon number and lepton number, and solves the μ problem. Naturally small Dirac neutrino masses are also possible in this context. • Talk at TH-2002, Paris, July 2002. If the minimal standard model of quarks and leptons (SM) is extended to include supersymmetry, 3...

The in vitro activity of four 2-nitropropene derivatives, 1-(3-benzothienyl)-2-nitropropene (N1), 1-(3-thienyl)-2-nitropropene (N2), 1-(5-bromo-2-thienyl)-2-nitropropene (N3) and 1-(4-bromo-2-thienyl)-2-nitropropene (N4), were tested against cultures of the parasite Trypanosoma cruzi. Cytotoxicity studies were performed using Vero cells. The blood trypomastigotes, amastigotes and epimastigotes ...

Photochemically-induced ligand rearrangements for the N2 and N4 coordination isomers of the complex [Ru(bpy)(2)(Hpztr)](2+) and its deprotonated analogue [Ru(bpy)(2)(pztr)](+), where bpy is 2,2'-bipyridyl and Hpztr is pyrazine-1,2,4-triazole ligand, are reported. (1)H NMR spectroscopic and HPLC studies indicate that in acetone and acetonitrile the complexes are photostable when the triazole rin...

Using density functional theory, we investigate the structure of mixed (3)He(N3)-(4)He(N4) droplets with an embedded impurity (Xe atom or HCN molecule) which pins a quantized vortex line. We find that the dopant+vortex+(4)He(N4) complex, which in a previous work [F. Dalfovo et al., Phys. Rev. Lett. 85, 1028 (2000)] was found to be energetically stable below a critical size N(cr), is robust agai...

To obtain complete genome sequences of turkey rotavirus A strains Ty-1 and Ty-3, we sequenced the gene segments that had not been decoded previously. The genotype constellations of the respective strains were determined to be G17-P[38]-I4-R4-C4-M4-A16-N4-T4-E4-H4 and G7-P[35]-I4-R4-C4-M4-A16-N4-T4-E11-H14. Notably, their VP4 and NSP5 genes were classified into novel genotypes.

Let P+(n) denote the largest prime factor of the integer n and Φ12(n) = n4 − n2 + 1. We prove that for X large enough we have : P μ Y X X with c = 10−26531. Résumé. On note P+(n) le plus grand facteur premier de l’entier n et Φ12(n) = n4 − n2 + 1. Nous montrons pour X assez grand la minoration : P μ Y X X avec c = 10−26531. Sommaire