On the Exponential Stability of the Rest State of a Viscous Compressible Fluid |
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| Authors: | Mariarosaria Padula |
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| Institution: | Dipartimento di Matematica, Università di Ferrara, I-44100 Ferrara, Italy, e-mail: pad@dns.unife.it, IT
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| Abstract: | We prove that the rest state of a viscous isothermal gas filling a bounded rigid vessel, is exponentially stable with respect a large class of "weak" perturbations that, in particular, allow for supersonic flow and discontinuous densities. In the inviscid limit, marginal stability is recovered. |
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