The blocking of an inhomogeneous Bingham fluid. Applications to landslides

Patrick Hild; Ioan R. Ionescu; Thomas Lachand-Robert; Ioan Roşca

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 36, Issue: 6, page 1013-1026
  • ISSN: 0764-583X

Abstract

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This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.

How to cite

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Hild, Patrick, et al. "The blocking of an inhomogeneous Bingham fluid. Applications to landslides." ESAIM: Mathematical Modelling and Numerical Analysis 36.6 (2010): 1013-1026. <http://eudml.org/doc/194137>.

@article{Hild2010,
abstract = { This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one. },
author = {Hild, Patrick, Ionescu, Ioan R., Lachand-Robert, Thomas, Roşca, Ioan},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Viscoplastic fluid; inhomogeneous Bingham model; landslides; blocking property; nondifferentiable variational inequalities; local qualitative properties.; anti-plane flow; variational formulation; stagnant regions},
language = {eng},
month = {3},
number = {6},
pages = {1013-1026},
publisher = {EDP Sciences},
title = {The blocking of an inhomogeneous Bingham fluid. Applications to landslides},
url = {http://eudml.org/doc/194137},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Hild, Patrick
AU - Ionescu, Ioan R.
AU - Lachand-Robert, Thomas
AU - Roşca, Ioan
TI - The blocking of an inhomogeneous Bingham fluid. Applications to landslides
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 6
SP - 1013
EP - 1026
AB - This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.
LA - eng
KW - Viscoplastic fluid; inhomogeneous Bingham model; landslides; blocking property; nondifferentiable variational inequalities; local qualitative properties.; anti-plane flow; variational formulation; stagnant regions
UR - http://eudml.org/doc/194137
ER -

References

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Citations in EuDML Documents

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  1. Guillaume Carlier, Myriam Comte, Gabriel Peyré, Approximation of maximal Cheeger sets by projection
  2. Guillaume Carlier, Myriam Comte, Gabriel Peyré, Approximation of maximal Cheeger sets by projection
  3. Roland Glowinski, Jacques Rappaz, Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology
  4. Roland Glowinski, Jacques Rappaz, Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

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