具有源漏项的渗流方程的边值问题

THE BOUNDARY-VALUE PROBLEM OF THE PERCOLATION EQUATIONS WITH SOURCE-FLAW POROUS MEDIA

讨论下列有源漏项的幂律流体的第三初．边值问题解的存在唯一性：ｕ＿ｉ＝［（ｕ＿ｘ）￣ｍ］＿ｘ＋ｆ（ｕ）（ｉｎＨ），ｕ＿ｘ（０，ｔ）－ａｕ（０，ｔ）＝０，０≤ｔ＜＋∝，ａ＞０为常数，ｕ（ｘ，０）＝ｕ＿０（ｘ）（ｏｎＲ＿＋）．

For the nonlinear degenerate parabolic equation:the existence and uniqueness of generalized solution are discussed.