# 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

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topHild, 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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