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A class of variational data assimilation problems on reconstructing the initial-value functions is considered for the models governed by quasilinear evolution equations. The optimality system is reduced to the equation for the control function. The properties of the control equation are studied and the solvability theorems are proved for linear and quasilinear data assimilation problems. The iterative algorithms for solving the problem are formulated and justified.
A class of variational
data assimilation problems on reconstructing
the initial-value functions is considered for the models governed by
quasilinear evolution equations. The optimality system is reduced to the
equation for the control function.
The properties of the control equation are studied and the
solvability theorems are proved for linear and quasilinear data assimilation
problems. The iterative algorithms for solving the problem are formulated and
justified.
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