Stability of Inflow Problem for Hyperbolic Systems
Abstract
Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish W1,∞ stability for 1D hyperbolic conservation laws with inflow data in a bounded interval, and W2,3+ 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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