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.
Mots clés : variational data assimilation, soil water movement, quasilinear parabolic problem, solvability, numerical analysis
@article{COCV_2004__10_3_331_0,
author = {Dimet, Fran\c{c}ois-Xavier Le and Shutyaev, Victor Petrovich and Wang, Jiafeng and Mu, Mu},
title = {The problem of data assimilation for soil water movement},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {331--345},
publisher = {EDP-Sciences},
volume = {10},
number = {3},
year = {2004},
doi = {10.1051/cocv:2004009},
mrnumber = {2084327},
zbl = {1071.76054},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2004009/}
}
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 SP - 331 EP - 345 VL - 10 IS - 3 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2004009/ DO - 10.1051/cocv:2004009 LA - en ID - COCV_2004__10_3_331_0 ER -
%0 Journal Article %A Dimet, François-Xavier Le %A Shutyaev, Victor Petrovich %A Wang, Jiafeng %A Mu, Mu %T The problem of data assimilation for soil water movement %J ESAIM: Control, Optimisation and Calculus of Variations %D 2004 %P 331-345 %V 10 %N 3 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2004009/ %R 10.1051/cocv:2004009 %G en %F COCV_2004__10_3_331_0
Dimet, François-Xavier Le; Shutyaev, Victor Petrovich; Wang, Jiafeng; Mu, Mu. The problem of data assimilation for soil water movement. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 331-345. doi : 10.1051/cocv:2004009. http://www.numdam.org/articles/10.1051/cocv:2004009/
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