Geodesic
The problem of data assimilation for soil water movement
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 3, pp. 331-345

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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.

DOI : 10.1051/cocv:2004009
Classification : 65K10
Keywords: variational data assimilation, soil water movement, quasilinear parabolic problem, solvability, numerical analysis 
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     author = {Le Dimet, Fran\c{c}ois-Xavier 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://geodesic.mathdoc.fr/articles/10.1051/cocv:2004009/}
}
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Le Dimet, François-Xavier; 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

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