We study the 2D Euler equation in a bounded simply-connected domain, and establish local uniqueness of flow whose stream function ψε satisfies{−ε2Δψε=∑i=1k1Bδ(z0,i)(ψε−με,i)+γ,inΩ,ψε=0,on∂Ω, with ε→0+ scale parameter vortices, γ∈(0,∞), Ω⊂R2 simply connected Lipschitz z0,i∈Ω limiting location ith vortex, με,i flux constants unprescribed. Our proof is achieved by detailed description asymptotic b...

Flat multiconductor cable of the type used for mass insulation displacement connection (i.d.c.) typically has a characteristic impedance (Z0) in the 90 to 150 Ω range. In some applications, it is desirable to have less than half this Z0. A properly configured four-conductor configuration allows us to achieve a low Z0. This technique is extendable to printed-wiring flexible-circuits (flex circui...

Impedance matrices are obtained for radially inhomogeneous structures using the Stroh-like system of six first-order differential equations for the time-harmonic displacement-traction 6-vector. Particular attention is paid to the newly identified solid-cylinder impedance matrix Z(r) appropriate to cylinders with material at r = 0, and its limiting value at that point, the solid-cylinder impedan...

A family of localized solutions of Brittingham’s type is constructed for different cylindric coordinates. We use method of incomplete separation of variables with zero separation constant and, then, the Bateman transformation, which enables us to obtain solutions in the form of relatively undistorted progressing waves containing two arbitrary functions, each of which depends on a specific phase...

We briefly review the recent advances of heavy-quark recombination mechanism. This mechanism predicts a class of power-suppressed 3-jet events in Z0 decay, such as bbq and bbq. Furthermore, heavy quark fragmentation function also receives a contribution from this mechanism. Some light can be shed on the scaling of the maximum of the fragmentation function for S-wave heavy hadrons. We finally co...

LET f (z,w) ≡ f0(z)w + f1(z)w + · · · + fn(z) ∈ C[z,w]. Classically, the equation f (z,w) = 0 was said to define w as an (n-valued) algebraic function of z, provided that f0(z) was not identically 0 and that f (z,w) was squarefree and without factors of the form z− c. Then, indeed, the singular set B = {z: there are not n distinct solutions w to f (z,w) = 0} is finite; and as z varies in any si...