Compressible fluid inside a linear oscillator

Vaclav Macha

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arXiv · 2103.00322

Compressible fluid inside a linear oscillator

Vaclav Macha

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Abstract

We use Feireisl-Lions theory to deduce the existence of weak solutions to a system describing the dynamics of a linear oscillator containing a Newtonian compressible fluid. The appropriate Navier-Stokes equation is considered on a domain whose movement has one degree of freedom. The equation is paired with the Newton law and we assume a no-slip boundary condition.

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Vaclav Macha. 2021-02-27. Compressible fluid inside a linear oscillator. https://arxiv.org/abs/2103.00322

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