Microstructure diffusion models with secondary flux. (English) Zbl 0831.35138

The objective of this paper is to develop and investigate a system of partial differential equations for distributed microstructure models. Based on the model a number of theorems are presented for existence and uniqueness of solutions. It is also shown that solutions depend continuously on parameters that determine the models.


35Q35 PDEs in connection with fluid mechanics
76S05 Flows in porous media; filtration; seepage
46N20 Applications of functional analysis to differential and integral equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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