Abst ract. We st udy lat tice gas automata. of fluid dynamics in the incompressible flow limit . It is shown t hat t he viscosity effect on the transition layer from the steady uniform velocity in one strea.m to the steady uniform velocity in another , adja cent strea m produces t he correct profile. We further study t he intr insic damping or smoothing action of viscous diffusion and show that...

Fluorescence polarization (FP) is a fluorescence detection technique that is based on the observation that fluorescent molecules, when excited by plane polarized light, will emit plane polarized light. In solution, proteins are free to rotate, thus the plane of polarized light emitted can change based on the fluorescence lifetime of the fluorophore in question and the extent of rotation the mol...

A new class of high-order numerical methods for approximating nonlinear conservation laws is described (entropy viscosity method). The novelty is that a nonlinear viscosity based on the local size of an entropy production is added to the numerical discretization at hand. This new approach does not use any flux or slope limiters, applies to equations or systems supplemented with one or more entr...

In this paper we study the global existence and the relaxation limit for a 3 × 3 hyperbolic system of conservation laws with sublinear relaxation term. In particular, the convergence for solutions in Sobolev spaces toward the solutions to the equilibrium system, which is a 2×2 degenerate parabolic system, is proved. This is the first example of a semilinear relaxation approximation for a degene...