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SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION

SOME TYPICAL BEHAVIORS OF WEAK SOLUTIONS OF LAYERED POROUS MEDIA EQUATION
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摘要 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. 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1997年第2期145-157,共6页 应用数学学报(英文版)
关键词 Filtration problem elliptic-parabolic equation layered porous media equation nonlinear diffusion Filtration problem, elliptic-parabolic equation, layered porous media equation, nonlinear diffusion
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