| SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION |
| |
| 作者姓名： | 萧树铁 黄志达 |
| |
| 作者单位： | XIAO SHUTIE(Department of Applied Mathematics，Tsinghua University，Beijing 100084，China)HUANG ZHIDA(Department of Mathematics，South China Normal University，Guangzhou 510631，China) |
| |
| 摘 要： | 1.IntroductionThefiltrationproblemoflayeredporousmediacanbedescribedasfollows(see21):whereHisHeavisidefunction.u(x,t)isthecapillarypiezometrichead,oi(u)(i~l,2)thevolumetricmoisturecontentandK4(u)thehydraulicconductivityinupperlayer(x6(1,21).Theassumptionsarethesameasthosein2]:(0KI)oi(r),Ki(r)EC' '(R).(0K2)oi(r)>0,Ki(r)>0,6:(r)>0andK:(r)20forrE(--co,u'.),whereu"thesaturatedcapillarypiezometricheadoftheithlayer.Whenr2u",oi(r)=osiandKi(r)~K'i,whereof'andK8iaresaturatedvaluesofthemoisturec…
|
SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION |
| |
| XIAO SHUTIE.SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION[J].Acta Mathematicae Applicatae Sinica,1997(2). |
| |
| Authors: | XIAO SHUTIE |
| |
| Abstract: | This paper is the continuation of 2]. Some typical behaviors of weak solutions of layered porous media equations with boundary conditions will be discussed in this paper. For example, asymptotically, the saturated regions can appear only either hear the layered interface, or near the boundaries. The necessary and sufficient conditions for the occurrence of such phenomena will be given. |
| |
| Keywords: | Filtration problem elliptic-parabolic equation layered porous media equation nonlinear diffusion |
| 本文献已被 CNKI 等数据库收录！ |
