On the implosion of a three dimensional compressible fluid

Abstract: We consider the compressible three dimensional Navier Stokes and Euler equations. In a suitable regime of barotropic laws, we construct a set of finite energy smooth initial data for which the corresponding solutions to both equations implode (with infinite density) at a later time at a point, and completely describe the associated formation of singularity.

analysis of PDEs

Audience: researchers in the topic

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