Y . Auregan A . Maurel V . Pagneux J . - F . Pinton ( Eds . ) Sound - Flow Interactions

نویسندگان

  • Jean-Francois Pinton
  • Yves Auregan
  • Vincent Pagneux
  • George D. Chagelishvili
چکیده

Euler's equation linearized about a shear flow equilibrium is solved by means of a novel invertible integral transform that is a generalization of the Hilbert transform. The integral transform provides a means for describing the dynamics of the continuous spectrum that is well-known to occur in this and other systems. The results are interpreted briefly in the context of infinite dimensional Hamiltonian systems theory, which serves as a unifying principle.

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تاریخ انتشار 2009