The sonic line as a free boundary

Type: Article

Publication Date: 2012-10-02

Citations: 11

DOI: https://doi.org/10.1090/s0033-569x-2012-01283-6

Abstract

We consider the steady transonic small disturbance equations on a domain and with data that lead to a solution that depends on a single variable. After writing down the solution, we show that it can also be found by using a hodograph transformation followed by a partial Fourier transform. This motivates considering perturbed problems that can be solved with the same technique. We identify a class of such problems.

Locations

  • Quarterly of Applied Mathematics - View
  • INFM-OAR (INFN Catania) - View - PDF