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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.
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.
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