Asymptotic Analysis of Onsager’s Equation System

Abstract

Onsager’s equation system describes complex systems in liquids and gases with suf­ficient coupled conduction and diffusion processes. It attracts increasing interests of in­vestigators last decades due to development a lot of modern technologies. Conventional numerical methods cannot be applied to Onsager’s equation system directly because of difficulties with correct calculation of non-diagonal terms which several orders less than diagonal terms. To overcome this difficulty correspondent asymptotic algorithm is pro­posed in the present paper.

Keywords

• система уравнений Онзагера
• асимптотический метод
• метод конечных разностей
• термодиффузия
• связанная диффузия