We study the d̄ ū asymmetry of the proton in a model approach recently developed, in which hadronic fluctuations of the nucleon are generated through gluon splitting and recombination mechanisms. Within this framework, it is shown that both d̄/ū and d̄− ū distributions in the proton can be consistently described by including only nucleon fluctuations to |πN〉 and |π∆〉 bound states. Predictions of t...

We propose new formulas for extracting a difference of the polarized light sea–quark density, ∆d̄(x)−∆ū(x), from polarized deep–inelastic semi–inclusive data. We have estimated the value of it from the present experimental data measured by SMC and HERMES groups. Although the data might suggest a violation of polarized light flavor sea–quark symmetry, the precision of the present data is not enou...

We derive a kinetic formulation for the parabolic scalar conservation law ∂tu + divyA(y, u) − ∆yu = 0. This allows us to define a weaker notion of solutions in L1, which is enough to recover the L1 contraction principle. We also apply this kinetic formulation to a homogenization problem studied in a previous paper; namely, we prove that the kinetic solution uε of ∂tu+divxA (x/ε, u)−ε∆xu = 0 beh...

We investigate oneand multi-dimensional stability of noncharacteristic boundary layers in the limit approaching a standing planar shock wave Ū(x1), x1 > 0, obtaining necessary conditions of (i) weak stability of the limiting shock, (ii) weak stability of the constant layer u ≡ U− := limz→−∞ Ū(z), and (iii) nonnegativity of a modified Lopatinski determinant similar to that of the inviscid shock ...

We derive the transformation laws in the target space of the SL(2, R)/U(1) coset model which generate the classical W∞ symmetry. Presently serving in the Greek Armed Forces. Present address: Theory Division, CERN, CH-1211, Geneva 23, Switzerland, email: [email protected] It was realized recently that the concept of W -algebras [1], their decompactification limits (algebras of the W∞ type)...

In this paper, we consider rods whose thickness vary linearly between and . Our aim is to study the asymptotic behavior of these rods in the framework of the linear elasticity. We use a decomposition method of the displacement fields of the form u = Ue + ū, where Ue stands for the translation-rotations of the cross-sections and ū is related to their deformations. We establish a priori estimates...

In this work, we study the following Generalized Variational Inequality Problem (for short, GVIP): Given a closed convex set K in a reflexive Banach space E with the dual E, a multifunction T : K → 2E∗ , and a vector b ∈ E, find x̄ ∈ K such that there exists ū ∈ T(x̄) satisfying 〈ū− b, y− x̄〉 ≥ 0, for all y ∈ K. By using generalized projection and the well-known Fan–KKM Theorem, we prove existence...

Flavor asymmetry in light antiquark distributions is discussed. In particular, recent progress on the ū/d̄ asymmetry is explained. Then, we discuss possible future experimental studies.