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 ...

The calculation of D-wave charmonium prodution rates in B meson deacys under the NRQCD factorization formalism is presented. We find that inclusion of the color-octet contributions permits us to detect the D-wave charmonium states in B decays at present experimental facilities. The same amount signals of 2 D-wave state as that of ψ could be observed at LEP and CESR. We also predict the relative...

When R is a local ring with a nilpotent maximal ideal, the Ore extension R[x;σ, δ] will or will not be 2-primal depending on the δ-stability of the maximal ideal of R. In the case where R[x;σ, δ] is 2-primal, it will satisfy an even stronger condition; in the case where R[x;σ, δ] is not 2-primal, it will fail to satisfy an even weaker condition. 1. Background and motivation In [13, Proposition ...

1 Figure captions Fig.1 α dependence of several quantities in the RS solution for δ = 1 and T = 1. (a) q and R(dotted curve) (b) S RS (c) Λ 1 and Λ 3 (dotted curve) Fig.2 α dependence of q and R (dotted curve) in the RS solution for δ = 0. (a) T = 5 (b) T = 0.5 Fig.3 α dependence of the entropy in the RS solution for δ = 0. Solid and dashed curves denote S I RS and S II RS , respectively. (a) T...

A disintegrin and metalloprotease 10 (ADAM10) is a key regulator of cellular processes by shedding extracellular domains of transmembrane proteins. We have previously demonstrated that deletion of B cell expressed ADAM10 results in changes in lymphoid tissue architecture and impaired germinal center (GC) formation. In this study, mice were generated in which ADAM10 is deleted in B cells followi...

We define and study a correspondence between the set of distinguished G0-conjugacy classes in a fixed connected component of a reductive group G (with G0 almost simple) and the set of (twisted) elliptic conjugacy classes in the Weyl group. We also prove a homogeneity property related to this correspondence. Introduction 0.1. Let k be an algebraically closed field of characteristic p ≥ 0 and let...

Providing each simplex in C(S) with the standard euclidean metric of side-length 1 equips the complex of curves with the structure of a geodesic metric space whose isometry group is just M̃g,m (except for the twice punctured torus). However, this metric space is not locally compact. Masur and Minsky [MM1] showed that nevertheless the geometry of C(S) can be understood quite explicitly. Namely, C...

Then SetF(Ω) is a category with Ω-sets as objects and maps f : A → B such that γ(f(x), f(y)) ≥ δ(x, y) for all x, y ∈ A as morphisms f : (A, δ) → (B, γ). Moreover, by SetR(Ω) we understand a category which is an analogy of a category of sets with relations between sets as morphisms. Objects of this category SetR(Ω) are the same as in the category SetF(Ω) and morphism f : (A, δ) → (B, γ) are map...

In this paper we study the circular chromatic number of the unit distance graphR. Let r 2, a, b ∈ [0, r), and a b. We define the circular distance of a and b, denoted by δ(a, b) = δr(a, b), to be min{b−a, r+a−b}. One may identify the interval [0, r) with a circle C having circumference r, and then δ(a, b) will be the distance between a and b in C. It is easy to see that δ satisfies the triangle...