Article
On the control of the Burgers-alpha model
Author/s | Dias Araruna, Fágner
Fernández Cara, Enrique ![]() ![]() ![]() ![]() ![]() ![]() ![]() Araujo de Souza, Diego ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2013-09-15 |
Deposit Date | 2024-01-30 |
Published in |
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Abstract | This work is devoted to proving the local null controllability of the Burgers-
α
model. The state is the solution to a regularized Burgers equation, where the transport term is of the form
z
y
x
,
z
=
(
I
d ... This work is devoted to proving the local null controllability of the Burgers- α model. The state is the solution to a regularized Burgers equation, where the transport term is of the form z y x , z = ( I d − α 2 ∂ 2 ∂ x 2 ) − 1 y , and α > 0 is a small parameter. We also prove some results concerning the behavior of the null controls and associated states as α → 0 + . |
Citation | Dias Araruna, F., Fernández Cara, E. y Araujo de Souza, D. (2013). On the control of the Burgers-alpha model. Advances in Differential Equations, 18 (9/10), 935-954. https://doi.org/10.57262/ade/1372777764. |
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