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MATHEMATICAL PROBLEMS ON THE FLUID-SOLUTE-HEAT FLOW THROUGH POROUS MEDIA Ⅰ. UNSATURATED CASE

MATHEMATICAL PROBLEMS ON THE FLUID-SOLUTE-HEAT FLOW THROUGH POROUS MEDIA Ⅰ. UNSATURATED CASE
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摘要 A degenerate parabolic system arising from the fluid-solute-heat flow through unsaturatedporous media is considered. The existence of weak solutions to the initial boundary value problemof this system is esteblished by parabolic regularizaton. The regularity is proved as well, i. e. theweak solutions satisfy the equations and initial boundary conditions pointwise in the region wherethe moisture content is positive. A degenerate parabolic system arising from the fluid-solute-heat flow through unsaturatedporous media is considered. The existence of weak solutions to the initial boundary value problemof this system is esteblished by parabolic regularizaton. The regularity is proved as well, i. e. theweak solutions satisfy the equations and initial boundary conditions pointwise in the region wherethe moisture content is positive.
作者 苏宁
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1990年第2期135-144,共10页 应用数学学报(英文版)
基金 This projeot is supported by National Natural Science Foundation of China
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