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The incompressible limit of the compressible free-boundary Euler equations with surface tension

PDE and Applied Math Seminar

Speaker: Marcelo Disconzi, Vanderbilt
Location: 3106 MSB
Start time: Thu, Mar 8 2018, 2:10PM

We consider the compressible free-boundary Euler equations with surface tension in the case of a slightly compressible liquid. We obtain a priori estimates uniform on the sound speed that allow us to pass to the incompressible limit, thus showing that solutions to the compressible equations converge to solutions of the incompressible ones when the sound speed goes to infinity.