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The problem of data assimilation for soil water movement

Published online by Cambridge University Press:  15 June 2004

François-Xavier Le Dimet ,
Victor Petrovich Shutyaev ,
Jiafeng Wang  and
Mu Mu
François-Xavier Le Dimet
Affiliation:
LMC-IMAG, 38041 Grenoble Cedex 9, France.
Victor Petrovich Shutyaev
Affiliation:
Institute of Numerical Mathematics, Russian Academy of Sciences, Russia.
Jiafeng Wang
Affiliation:
LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China.
Mu Mu
Affiliation:
LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China.
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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.

Keywords

Variational data assimilationsoil water movementquasilinear parabolic problemsolvabilitynumerical analysis.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 3 , July 2004 , pp. 331 - 345
Copyright
© EDP Sciences, SMAI, 2004

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