Global Weak Entropy Solution Of The Initial-boundary Value Problem For A Class Of Nonlinear Ideal Reaction Chromatography Equations

Chromatography is a separate and analytical method in physics and chemistry.The core technology of nonlinear chromatography is the initial-boundary value problem for nonlinear hyperbolic conservation laws.This thesis is concerned with the structure and behaviors of the waves of global weak entropy solutions for an initial-boundary value problem of general hyperbolic conservation laws which describes the nonlinear ideal reaction chromatography corresponding to reactant in A(?)B type.For the initial-boundary value problem of a class of nonlinear ideal reaction chromatography equations with Langmuir isothermal adsorption function,by using of characteristic method and truncation method,the global weak entropy solutions are constructed for Riemann and three-piece constant types of initial-boundary data,respectively.Furthermore,the interaction of elementary waves with the initial line is described and the behaviors of the waves nearby the initial line are clarified in the chromatographic process.