arXiv:2410.06622 Abstract | arXiv Analytics

arXiv:2410.06622 [math.AP]Abstract References Reviews Resources

Diffusion in porous media with hysteresis and bounded speed of propagation

Published 2024-10-09Version 1

It is shown that the problem of moisture propagation in porous media with a nonlinear relation between the mass flux and the pressure gradient as a counterpart of the Darcy law exhibits the property of bounded speed of propagation even in the case of a hysteresis relation between the capillary pressure and the moisture content. The paper specifies conditions for existence and uniqueness of solutions, and provides an upper bound for the moisture propagation speed.

Comments: 20 pages. arXiv admin note: text overlap with arXiv:2402.01278

Categories: math.AP

Subjects: 47J40, 35K65, 35K92, 76S05

Keywords: porous media, moisture propagation, paper specifies conditions, nonlinear relation, darcy law

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