We study in this paper the first boundary value problem of one dimensional degenerate quasilinear elliptic-parabolic equation with discontinuous coefficients (layered media). The uniquenessof the weak solutions is pro...We study in this paper the first boundary value problem of one dimensional degenerate quasilinear elliptic-parabolic equation with discontinuous coefficients (layered media). The uniquenessof the weak solutions is proved under natural conditions.展开更多
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 re...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.展开更多
One dimensional filtration problem in partially saturated and partially dried layered porous media is studied. Main difficulties are the occurrence of infinite value of capillary piezometric head in dry regions. The e...One dimensional filtration problem in partially saturated and partially dried layered porous media is studied. Main difficulties are the occurrence of infinite value of capillary piezometric head in dry regions. The existence and uniqueness of the weak solutions is proved under natural conditions.展开更多
文摘We study in this paper the first boundary value problem of one dimensional degenerate quasilinear elliptic-parabolic equation with discontinuous coefficients (layered media). The uniquenessof the weak solutions is proved under natural conditions.
文摘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.
文摘One dimensional filtration problem in partially saturated and partially dried layered porous media is studied. Main difficulties are the occurrence of infinite value of capillary piezometric head in dry regions. The existence and uniqueness of the weak solutions is proved under natural conditions.
