The problem of data assimilation for soil water movement
LMC-IMAG, 38041 Grenoble Cedex 9, France.
2 Institute of Numerical Mathematics, Russian Academy of Sciences, Russia.
3 LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, 100029, China.
Revised: 4 November 2003
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.
Mathematics Subject Classification: 65K10
Key words: Variational data assimilation / soil water movement / quasilinear parabolic problem / solvability / numerical analysis.
© EDP Sciences, SMAI, 2004