Self-similar proles in Analysis of Fluids. A 1D model and the compressible Euler equations

Authors

  • Gonzalo Cao-Labora Massachusetts Institute of Technology (MIT).

Keywords:

compressible Euler, Okamoto-Sakajo-Wunsch, self-similar profiles, modulation variables.

Abstract

We present two new results in Analysis of Fluids involving the existence of singularities via self-similar profiles and stability analysis around them. The first result is a new proof of the formation of singularities for the Okamoto-Sakajo-Wunsch equation with small parameter, which is done via a stability analysis around an approximate self-similar profile.The second result consists on the finding of new smooth radial self-similar profiles developing singularities for the isentropic compressible Euler equations. This is the first proof of such profile for the monatomic gas case.

Keywords: compressible Euler, Okamoto-Sakajo-Wunsch, self-similar profiles, modulation variables.

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How to Cite

Cao-Labora, G. (2021). Self-similar proles in Analysis of Fluids. A 1D model and the compressible Euler equations. Reports@SCM, 6(1), 35–47. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/149449

Issue

Vol. 6 No. 1 (2021)

Section

Articles

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