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arXiv · 2604.17334

Stability of Inflow Problem for Hyperbolic Systems

Yan Guo·Yanjin Wang
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Abstract

Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish $W^{1,\infty}$ stability for 1D hyperbolic conservation laws with inflow data in a bounded interval, and $W^{2,3+}$ stability of a large class of shear flows for the 3D incompressible Euler system with inflow BC in finite square or circular pipes.

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Yan Guo, Yanjin Wang. 2026-04-19. Stability of Inflow Problem for Hyperbolic Systems. https://arxiv.org/abs/2604.17334

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