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arXiv · 2005.02015

Semiflow selection to models of general compressible viscous fluids

Danica Basarić
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Abstract

We prove the existence of a semiflow selection with range the space of c\`agl\`ad, i.e. left--continuous and having right--hand limits functions defined on $[0,\infty)$ and taking values in a Hilbert space. Afterwards, we apply this abstract result to the system arising from a compressible viscous fluid with a barotropic pressure of the type $a\varrho^{\gamma}$, $\gamma \geq 1$, with a viscous stress tensor being a nonlinear function of the symmetric velocity gradient.

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Danica Basarić. 2020-05-05. Semiflow selection to models of general compressible viscous fluids. https://doi.org/10.1007/s00021-020-00527-1

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