Khalid Atifi, El-Hassan Essoufi
Abstract:
In this article, we use the variational method in data assimilation
to study numerically the null controllability of degenerate/singular
parabolic problem
To do this, we determine the source term f with the aim of obtaining
,
for all
.
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.
Submitted February 24, 2017. Published May 17, 2017.
Math Subject Classifications: 15A29, 47A52, 93C20, 35K05, 35K65, 35K65, 93B05.
Key Words: Data assimilation; null controllability; regularization;
heat equation; inverse problem; degenerate equations; optimization.
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Khalid Atifi Laboratoire de Mathématiques Informatique et Sciences de l'ingénieur (MISI) Université Hassan 1 Settat 26000, Morocco email: k.atifi.uhp@gmail.com | |
El-Hassan Essoufi Laboratoire de Mathématiques Informatique et Sciences de l'ingénieur (MISI) Université Hassan 1 Settat 26000, Morocco email: e.h.essoufi@gmail.com |
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