Imathematical models and problems of the voltamperemeasure analysis

Abstract

Offered to consider problems voltamperemeasure as inverse problems mathematical physicists. Present method of deciding a problem on voltamperemeasure to the determination to concentrations an electrolyte as a border inverse problem of diffixion under partly single-line dependency of density of current from a time of the process. Introduction Electrode and diffusion processes under voltamperemeasure are described by following equations: Here C(x,z)a concentration interesting us component in the spot x difision layer [0,6] at a moment of the time z; CO a concentration of this component at heart dissolve; i(7) density of current on the electrode; a , z, F, R, T constants; D a diffusion factor; E(T) a system potential; Eo balExpect that is known chronovoltamperomeasure mode i(z)-E(z), then, knowing all electrochemical constants, possible calculate carring a mass C(X,T). Our problem is conclude in that, to on given electrochemical parameters and crooked current a potential to calculate a concentration CO interesting us component. . ance potential of electrode. Main part Such problem is identified an inverse problem mathematical physicists. Initial our purpose to bring it to the type of classical inverse problem and prove existence and single decisions. Questions 0-7803-5729-9/99/$10.00