# 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 (2004)

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

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topDimet, François-Xavier Le, et al. "The problem of data assimilation for soil water movement." ESAIM: Control, Optimisation and Calculus of Variations 10.3 (2004): 331-345. <http://eudml.org/doc/244813>.

@article{Dimet2004,

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 = {Dimet, François-Xavier Le, 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},

number = {3},

pages = {331-345},

publisher = {EDP-Sciences},

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

url = {http://eudml.org/doc/244813},

volume = {10},

year = {2004},

}

TY - JOUR

AU - Dimet, François-Xavier Le

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

PY - 2004

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/244813

ER -

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