We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst–Planck and the Debye–Hückel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and o...

We consider a classical two-component plasma analog of the restricted primitive model electrolyte, where hard-core interaction is replaced by soft differentiable potential. Within Born–Green–Yvon hierarchy for equilibrium distribution functions, we shed light on an infection mechanism charge correlations are polluted density at critical point liquid–gas transition. This should imply algebraic d...

– We present a theory which accounts for the increase in interfacial tension of water due to the presence of 1:1 electrolyte. The agreement between the theory and experiment is excellent, extending all the way to relatively high salt concentrations of 1 M. For low concentrations of electrolyte the theory reduces to the Onsager-Samaras limiting law. Contrary to surfactant solutions, aqueous elec...

We investigate the structural and conformational properties of solutions containing semiflexible polyelectrolyte chains using a self-consistent integral equation theory approach. A one-component system is considered where the polyelectrolyte chains interact with each other via a Debye–Hückel potential. Nonelectrostatic interactions among the polymers are taken into account by a self-consistentl...

We propose a Debye-Hückel-like screening model (DESMO) that generalizes the familiar conductor-like screening model (COSMO) to solvents with non-zero ionic strength and furthermore provides a numerical generalization of the Debye-Hückel model that is applicable to non-spherical solute cavities. The numerical implementation of DESMO is based upon the switching/Gaussian (SWIG) method for smooth c...