Spreading of the free boundary of an ideal fluid in a vacuum
Published Web Locationhttps://doi.org/10.1016/j.jde.2014.03.006
The diameter of a region occupied by an ideal fluid surrounded by vacuum will be shown to grow linearly in time provided the pressure is positive and there are no singularities. A family of explicit spherically symmetric, self-similar global solutions is constructed which illustrate the result in the compressible case. © 2014 Elsevier Inc.