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A note on helicity conservation for compressible Euler equations in a bounded domain with vacuum (2505.20080v2)
Published 26 May 2025 in math.AP
Abstract: In this paper, we consider the helicity conservation of weak solutions for the compressible Euler equations in a bounded domain with general pressure law and vacuum. We deduce a sufficient condition for a weak solution conserving the helicity based on the interior Besov-VMO type regularity, the continuous conditions for velocity and vorticity near the boundary, and some regularities for density near vacuum.