The stability of compressible vortex sheets in two space dimensions
Jean-Francois Coulombel, Paolo Secchi
We study the linear stability of planar compressible vortex
sheets in two space dimensions. Under a supersonic condition
that precludes violent instabilities, we prove an energy
estimate for the linearized boundary value problem. Since
the problem is characteristic, the estimate we prove exhibits
a loss of control on the trace of the solution. Furthermore,
the failure of the uniform Kreiss-Lopatinskii condition
yields a loss of derivatives in the energy estimate.
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- Jean-Francois Coulombel,
- Paolo Secchi,
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- Submitted by:
March 8 2003.
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