Abstract
By using the so-called Crocco transformation, the two dimensional Prandtl equations, which are stated in an unbounded domain, are transformed into a nonlinear degenerate parabolic equation (the Crocco equation) stated in a domain Ω x (0, T)=]0, L[x]0, 1[x(0, T). In this paper, we study a degenerate parabolic equation in Ω x (0, T) coming from the linearization of the Crocco equation. This is a crucial step to next construct feedback control laws to settle stabilization problems.
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© 2001 Birkhãuser Verlag Basel/Switzerland
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Buchot, JM., Raymond, JP. (2001). A Linearized Model for Boundary Layer Equations. In: Hoffmann, KH., Lasiecka, I., Leugering, G., Sprekels, J., Tröltzsch, F. (eds) Optimal Control of Complex Structures. ISNM International Series of Numerical Mathematics, vol 139. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8148-7_3
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DOI: https://doi.org/10.1007/978-3-0348-8148-7_3
Publisher Name: Birkhäuser, Basel
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