摘要
然而,方程(Ⅰ)不仅出现在土壤内湿气迁移现象中,同样也在不同介质中的热传导,在多孔介质内液体的渗透和均匀液体穿过裂缝岩石的渗透理论中,在研究二阶流体简单的剪切交流的不稳定时和在粘土的加固理论等各种现象中多次出现,因而,引起了众多的数学工作者的广泛兴趣和重视并对它进行很多研究,迄今已有不少结果,如[8—14]等,但由于前面大多采用黎曼函数方法去研究的,它必然要受到这一方法的限制。
In this paper, Combining Riemann's method with the fixed point theory effectively, westudy the initial boundary value problem of the nonlinear equation of the migration of themoisture in soil, that it is in this form:u_(xtx) + η(x, t)u_(xx) = F(x,t,u,u_x,u_t,u_(xx),u_(xt)).We have obtained existence and uniqueness of the solution under more generalized situation,and we have got the solution by using iterative method and generalize the main results in thereferences [1]-[3] and so on.
出处
《应用数学学报》
CSCD
北大核心
1990年第1期31-38,共8页
Acta Mathematicae Applicatae Sinica
