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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.

MSC:

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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