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On unsteady flows of pore pressure-activated granular materials
Type of publication: Article
Citation:
Publication status: Published
Journal: Z. Angew. Math. Phys.
Volume: 70
Number: 1
Year: 2021
Pages: Paper No. 6
DOI: 10.1007/s00033-020-01424-3
Abstract: We investigate mathematical properties of the system of nonlinear partial di erential equations that describe, under certain simplifying assumptions, evolutionary processes in watersaturated granular materials. The unconsolidated solid matrix behaves as an ideal plastic material before the activation takes place and then it starts to ow as a Newtonian or a generalized Newtonian uid. The plastic yield stress is non-constant and depends on the di erence between the given lithostatic pressure and the pressure of the uid in a pore space. We study unsteady threedimensional ows in an impermeable container, subject to stick-slip boundary conditions. Under realistic assumptions on the data, we establish long-time and large-data existence theory.
Preprint project: NCMM
Preprint year: 2020
Preprint number: 04
Preprint ID: NCMM/2020/04
Keywords:
Authors Abbatiello, Anna
Bulíček, Miroslav
Los, Tomáš
Málek, Josef
Souček, Ondřej
Added by: [MB]
Total mark: 0
Attachments
  • ABLMS2020.pdf
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