In this paper,the periodic solutions of the Burgers equation are expanded in a power series with respect to the viscosity coefficient ε which gives a recurrence relation among the approximate functions.Then,the general form of the Fourier expansions for the approximate functions are given by induction,and it is proved that the Fourier series of each approximate function is uniformly and absolutely convergent.
关键词
Burgers方程/周期解/Fourier级数
Key words
Burgers equation/periodic solutions/Fourier series
维普
万方数据