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math.AP2026
Long-Wave Spectral Instability of Shear Layers for the Compressible Euler Equations
Chao Wang, Yuxi Wang, Wenzhi Wu +1
We study the long-wave spectral instability of the two-dimensional compressible Euler equations around smooth monotone shear layers. We construct decaying half-line solutions of th…
math.AP2026
Neutral curves and traveling waves in plane Poiseuille flow
Hui Li, Yuxi Wang, Zhifei Zhang
We study the spectrum of the Orr--Sommerfeld operator associated with the incompressible plane Poiseuille flow in the high-Reynolds-number regime. In the Tollmien--Schlichting eige…