氢化物电极充放电过程所产生的数学问题之古典解的存在性

EXISTENCE OF CLASSICAL SOLUTIONS FOR THE MATHEMATICAL PROBLEM RESULTED FROM THE CHARGE AND DISCHARGE PROCESS OF HYDRIDE ELECTRODE

由氢化物镍 (MH/Ni)电池的氢化物电极单相充放电过程所产生的数学模型 ,是由线性抛物型方程的第三初边值问题与半线性发展常微分方程的两点边值问题耦合而成的一个全新的非线性初边值问题 .本文应用

The mathematical model for the charge and discharge operation of hydride electrode of the metal hydride nickel(MH Ni)battery is a new nonlinear problem coupled by the third initial boundary value problem for linear parabolic equations and the two point boundary value problem for semilinear second order ODEs.In this paper,Leray Schauder fixed point Theorem is applied to prove the existence of the classical solutions.