Author

Geng Chen

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Review Oct 2026

Uniqueness and stability of planar shock wave to 2D compressible Euler equations in the vanishing viscosity limit of compressible Navier-Stokes equations

It is well known that the compressible Euler equations with planar shock initial data may admit infinitely many entropy weak solutions, as shown by Chiodaroli, De Lellis and Kreml [Comm. Pure Appl. Math. (2015)]. In this paper, we introduce a suitable notion of global-in-time weak solutions to the two-dimensional (2D)...

Geng Chen, Jeffrey Cheng, Alexis F. Vasseur et al. · 1 citation · ⚡1

Preprint Sep 2026

Structurally stable singularities and Lipschitz stable optimal transport metrics for the compressible Euler equations

It is well known that solutions to the compressible Euler equations can develop singularities in finite time. In this paper, we carry out a detailed analysis on behaviors of solutions up to the time of the first singularity for the one-dimensional compressible Euler equations with general smooth initial data. Our main...

Geng Chen, Yan-Bo Hu, Yan-Nan Shen · 0 citations