Atifi, KhalidEssoufi, El-Hassan2022-05-172022-05-172017-05-17Atifi, K., & Essoufi, E. H. (2017). Data assimilation and null controllability of degenerate/singular parabolic problems. <i>Electronic Journal of Differential Equations, 2017</i>(135), pp. 1-17.1072-6691https://hdl.handle.net/10877/15787In this article, we use the variational method in data assimilation to study numerically the null controllability of degenerate/singular parabolic problem ∂tψ - ∂x (xα∂xψ(x)) - λ/xβ ψ = ƒ, (x, t) ∈]0, 1[X]0, T[, ψ(x, 0) = ψ0, ψ|x=0 = ψ|x=1 = 0. To do this, we determine the source term ƒ with the aim of obtaining ψ(·, T) = 0, for all ψ0 ∈ L2(]0, 1[). This problem can be formulated in a least-squares framework, which leads to a non-convex minimization problem that is solved using a regularization approach. Also we present some numerical experiments.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalData assimilationNull controllabilityRegularizationHeat equationInverse problemDegenerate equationsOptimizationArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.