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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

Abstract

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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.

How to cite

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Le 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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