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‘θ–ځFLong-time stability of the 3D compressible rotating Euler equations


ŠT—vFWe consider the 3D compressible Euler equation with a Coriolis term, and establish a lower bound for the lifespan of solutions in terms of the speed of rotation, the sound speed and the size of the initial data.
We also derive a precise dispersive decay estimate for the linear solutions, taking into account the degeneracy of the dispersion relation.
This talk is based on the joint work with Haram Ko (Brown Univ.),
Benoit Pausader (Brown Univ.) and Klaus Widmayer (Univ. of Zurich).