We present a systematic, and fully analytic, study of the ratio RpA between the gluon distribution in a nucleus and that in a proton scaled up by the atomic number A. We consider initial conditions of the McLerran–Venugopalan type, and quantum evolution in the Color Glass Condensate, with both fixed and running coupling. We perform an analytic study of the Cronin effect in the initial condition...

Abstract In this paper we consider the heat equation with memory in a bounded region Ω ⊂ Rd, d ≥ 1, in the case that the propagation speed of the signal is infinite (i.e. the Colemann-Gurtin model). The memory kernel is of class C1. We examine its controllability properties both under the action of boundary controls or when the controls are distributed in a subregion of Ω. We prove approximate ...

In extra-dimensional models which are compactified on an n-torus (n ≥ 2) there exist moduli associated with the torus volume (which sets the fundamental Planck scale), the ratios of the torus radii, and the angle(s) of periodicity. We consider a model with gravity in the bulk of n = 2 large extra dimensions with a fixed volume, taking all Standard Model fields to be confined to a “thick” and su...

2. Introduction. Let SI C R" be a bounded domain with smooth boundary F. We consider the problem pd2tu — /LiAu — (p + A)V(V ■ u) + aV9 = 0 in ft x R+, (2.1) pcpdt9 — kA9 + adtV • u = 0 in fl x where u is a time-dependent deformation vector field, 6 is the normalized temperature, p, p, and cp are positive constants, 2/x + A > 0 (p the density, /i and A are Lame's constants, and cp is the specifi...

The problem of zeroing the output in an arbitrary linear continuous-time system S(A, B, C, D) with a nonvanishing transfer function is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separa...