The transport of water in silicate melts is examined from a theoretical point of view, taking into account the presence of both H20 and OH species. It was assumed that only H20 molecules may diffuse and that a constitutive relationship between the number density nH 0 of H20 molecules and the total water content (n:E) exists such that nH,o = g(n:E) . This is related to dissociation or to chemica...

Coherent transport in mesoscopic devices is well described by the Schrödinger equation supplemented by open boundary conditions. When electronic devices are operated at room temperature, however, a realistic transport model needs to include carrier scattering. In this work, the kinetic equation for the Wigner function is employed as a model for dissipative quantum transport. Carrier scattering ...

An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells. The analysis distinguishes two fundamental behavior...

We prove a dispersive estimate for the Schrödinger equation on the real line, mapping between weighted Lp spaces with stronger time-decay (|t|− 3 2 versus |t|− 1 2 ) than is possible on unweighted spaces. To satisfy this bound, the long-term behavior of solutions must include transport away from the origin. Our primary requirements are that 〈x〉3V be integrable and −∆+V not have a resonance at z...

Hadron spectra measured at intermediate transverse momenta, pT=2-6GeV, in 200AGeV Au-Au collisions at the Relativistic Heavy-Ion Collider (RHIC) have revealed a surprisingly large baryon-tomeson ratio ~1 and a so-called constituent quark-number scaling (CQNS) of the elliptic flow, v2(pT). Both phenomena are rather naturally explained within quark coalescence models (QCMs), where constituent qua...

In [16], Córdoba, Córdoba, and Fontelos proved that for some initial data, the following nonlocaldrift variant of the 1D Burgers equation does not have global classical solutions ∂tθ + u ∂xθ = 0, u = Hθ, where H is the Hilbert transform. We provide four essentially different proofs of this fact. Moreover, we study possible Hölder regularization effects of this equation and its consequences to t...

The equation of radiative energy balance in homogeneous We let L denote the mean horizontal photon path length in plane-parallel cloud accounts for the photon transport in clouds. Major contributors to E(x,y) are those sections of vertical direction alone. From this equation, we can evaluate pixel located near its sides and having lengths on the order of absorption as a difference of the net ra...

This article studies the growing bacterial population. Each bacterium is distinguished by its degree of maturity and its maturation velocity. To complete the study in [3], we describe the bacterial profile of this population by proving that the generated semigroup possesses an asynchronous exponential growth property.

A mathematical method called subordination broadens the applicability of the classical advection--dispersion equation for contaminant transport. In this method, the time variable is randomized to represent the operational time experienced by different particles. In a highly heterogeneous aquifer, the operational time captures the fractal properties of the medium. This leads to a simple, parsimo...