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arXiv · 2607.25028

Inviscid Incompressible Limit for Degenerate Compressible Navier-Stokes Equations on Expanding Domains

Tong Tang·Emil Wiedemann·Lu Zhu
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Abstract

We simultaneously investigate the inviscid and Low Mach number limits on expanding domains for the $3D$ degenerate compressible Navier-Stokes equations, whose viscosity depends on density. Starting from ill-prepared data, we show the limit system is the incompressible Euler system. Our result extends a previous result of Feireisl et al. concerning the constant viscosity Navier-Stokes equations, and is the first to establish the inviscid and incompressible limits at the same time for density-dependent viscosity.

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Tong Tang, Emil Wiedemann, Lu Zhu. 2026-07-27. Inviscid Incompressible Limit for Degenerate Compressible Navier-Stokes Equations on Expanding Domains. https://arxiv.org/abs/2607.25028

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