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The Wing Divergence Problem in a Supersonic Gas Flow

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We study the boundary value problem for a nonlinear hyperbolic type evolution equation governing torsional oscillations of a wing in a hypersonic gas flow in the Bolotin statement. We study the existence, stability, and asymptotic representation of nontrivial equilibrium states. Using elliptic functions, we obtain in some cases explicit formulas for the equilibrium states and clarify whether these equilibrium states are stable in the sense of Lyapunov.

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Authors and Affiliations

  1. P. G. Demidov Yaroslavl’ State University, 14, Sovetskaya St., Yaroslavl’, 150003, Russia

    A. N. Kulikov

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  1. A. N. Kulikov
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Correspondence to A. N. Kulikov.

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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 29-37.

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Kulikov, A.N. The Wing Divergence Problem in a Supersonic Gas Flow. J Math Sci 250, 31–41 (2020). https://doi.org/10.1007/s10958-020-04994-9

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  • DOI: https://doi.org/10.1007/s10958-020-04994-9

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