On unsteady flows of pore pressure-activated granular materials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10435737" target="_blank" >RIV/00216208:11320/21:10435737 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Tbh87RDxU3" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=Tbh87RDxU3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-020-01424-3" target="_blank" >10.1007/s00033-020-01424-3</a>
Alternative languages
Result language
angličtina
Original language name
On unsteady flows of pore pressure-activated granular materials
Original language description
We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in water-saturated granular materials. The unconsolidated solid matrix behaves as an ideal plastic material before the activation takes place and then it starts to flow as a Newtonian or a generalized Newtonian fluid. The plastic yield stress is non-constant and depends on the difference between the given lithostatic pressure and the pressure of the fluid in a pore space. We study unsteady three-dimensional flows 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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-12719S" target="_blank" >GA18-12719S: Thermodynamical and mathematical analysis of flows of complex fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für Angewandte Mathematik und Physik
ISSN
0044-2275
e-ISSN
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Volume of the periodical
72
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
18
Pages from-to
6
UT code for WoS article
000593825500001
EID of the result in the Scopus database
2-s2.0-85096876444