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soil water movement

ESAIM: Control, Optimisation and Calculus of Variations (1)

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The problem of data assimilationfor soil water movement
François-Xavier Le Dimet, Victor Petrovich Shutyaev, Jiafeng Wang, Mu Mu
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 10 / Issue 3 / July 2004

Published online by Cambridge University Press:

15 June 2004, pp. 331-345

Print publication:

July 2004
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The soil water movement modelgoverned by the initial-boundary value problem for a quasilinear1-D parabolic equation with nonlinear coefficients is considered.The generalized statement of the problem is formulated. Thesolvability of the problem is proved in a certain class offunctional spaces. The data assimilation problem for this model isanalysed. The numerical results are presented.