# The problem of data assimilation for soil water movement

François-Xavier Le Dimet; Victor Petrovich Shutyaev; Jiafeng Wang; Mu Mu

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 10, Issue: 3, page 331-345
- ISSN: 1292-8119

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topLe Dimet, François-Xavier, et al. "The problem of data assimilation for soil water movement." ESAIM: Control, Optimisation and Calculus of Variations 10.3 (2010): 331-345. <http://eudml.org/doc/90733>.

@article{LeDimet2010,

abstract = {
The soil water movement model
governed by the initial-boundary value problem for a quasilinear
1-D parabolic equation with nonlinear coefficients is considered.
The generalized statement of the problem is formulated. The
solvability of the problem is proved in a certain class of
functional spaces. The data assimilation problem for this model is
analysed. The numerical results are presented.
},

author = {Le Dimet, François-Xavier, Shutyaev, Victor Petrovich, Wang, Jiafeng, Mu, Mu},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Variational data assimilation; soil water movement; quasilinear parabolic problem; solvability; numerical analysis.; parabolic equation},

language = {eng},

month = {3},

number = {3},

pages = {331-345},

publisher = {EDP Sciences},

title = {The problem of data assimilation for soil water movement},

url = {http://eudml.org/doc/90733},

volume = {10},

year = {2010},

}

TY - JOUR

AU - Le Dimet, François-Xavier

AU - Shutyaev, Victor Petrovich

AU - Wang, Jiafeng

AU - Mu, Mu

TI - The problem of data assimilation for soil water movement

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 10

IS - 3

SP - 331

EP - 345

AB -
The soil water movement model
governed by the initial-boundary value problem for a quasilinear
1-D parabolic equation with nonlinear coefficients is considered.
The generalized statement of the problem is formulated. The
solvability of the problem is proved in a certain class of
functional spaces. The data assimilation problem for this model is
analysed. The numerical results are presented.

LA - eng

KW - Variational data assimilation; soil water movement; quasilinear parabolic problem; solvability; numerical analysis.; parabolic equation

UR - http://eudml.org/doc/90733

ER -

## References

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