The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data

DOI10.1137/19M1303721zbMath1452.35145arXiv2002.09879OpenAlexW3096227483MaRDI QIDQ5130522

Dragoş Iftimie, Milton da Costa Lopes Filho, Helena J. Nussenzveig Lopes, Adriana Valentina Busuioc

Publication date: 4 November 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09879

zbMATH Keywords

incompressible Euler equationsincompressible fluidsvortex sheets\( \alpha \)-Euler equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Incompressible inviscid fluids (76B99) Euler equations (35Q31)

Related Items

Global well-posedness of 2D Euler-α equation in exterior domain ⋮ Strong convergence of the vorticity and conservation of the energy for the α-Euler equations

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