Preparative liquid chromatography.

The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral equation. This article is devoted to demonstrating how this correspondence unifies and generalizes previous results on the occurrence of travelling-wave solutions of such partial differential equations. The detailed comparison with earlier results simultaneously provides a survey of the topic. It covers travelling-wave solutions of generalizations of the Fisher, Newell-Whitehead, Zeldovich, KPP and Nagumo equations, the Burgers and nonlinear Fokker-Planck equations, and extensions of the porous media equation.

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Travelling Waves in Nonlinear Diffusion-Convection Reaction

Mass transfer kinetics, band broadening and column efficiency.

A model for the propagation of a finite concentration zone in a chroma-tographic column is discussed for the case of a single component sample. This model is based on the modern theory of nonlinear hyperbolic systems of partial differential equations. It accounts for the nonlinear effects due 1) to the thermodynamics of solute-stationary phase equilibrium (i.e., the nonlinearity of the equilibrium isotherm), 2) to the interaction between radial mass transfer and flow velocity (the sorption effect in gas chromatography), and 3) to the pressure gradient along the column (in gas chromatography). Numerical results are obtained by using the Godunov method. The column is divided into a large

B.F. Bodin

Papers

A study of the shock layer in nonequilibrium exchange systems