| Abstract: |
| In this talk, we discuss the stability of the compressible fluid with viscoelasticity. We consider the outflow problem in a one-dimensional half-space and show the existence of a stationary solution and its stability.
There exists a lot of known results for compressible fluids. In particular, the existence and stability of stationary solutions to the outflow problem were discussed in Nakamura-Nishibata-Yuge (2007) and Nakamura-Ueda-Kawashima (2010), where the Mach number was used as a criterion. Similar results are obtained for viscoelastic fluids, however, the main feature is that the criterion is constructed by the modified Mach number, which takes into account the effect of viscoelasticity.
This result is based on joint research with Yusuke Ishigaki of Osaka University. |
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