Titelaufnahme

Titel
Boundary optimal control of the Westervelt and the Kuznetsov equations
Verfasser/ VerfasserinClason, Christian In der Gemeinsamen Normdatei der DNB nachschlagen ; Kaltenbacher, Barbara In der Gemeinsamen Normdatei der DNB nachschlagen ; Veljović, Slobodan
Erschienen in
Journal of Mathematical Analysis and Applications, 2009, Jg. 356, H. 2, S. 738-751
ErschienenElsevier, 2009
Ausgabe
Preprint
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Optimal control / Boundary control / Existence / Optimality conditions / Nonlinear wave equation
Projekt-/ReportnummerSFB-MOBIS, Report 2008-013
ISSN0022-247X
URNurn:nbn:at:at-ubg:3-3880 Persistent Identifier (URN)
DOI10.1016/j.jmaa.2009.03.043 
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 Das Werk ist frei verfügbar
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Boundary optimal control of the Westervelt and the Kuznetsov equations [0.19 mb]
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Zusammenfassung (Englisch)

This paper is concerned with optimal Neumann boundary control for the Westervelt and the Kuznetsov equation, which are equations of nonlinear acoustics. Specifically, functionals of tracking type with applications in noninvasive ultrasonic medical treatments are considered. Existence of optimal controls is established and first order necessary optimality conditions are derived. Stability of the minimizer with respect to perturbations in the data as well as convergence of the controls when the regularization parameter tends to zero is shown.

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