Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space

DOI10.1090/tran/8739zbMath1497.35344arXiv2107.00810OpenAlexW3182189131MaRDI QIDQ5098848

Tai-Peng Tsai, Chen-Chih Lai, Kyungkeun Kang, Baishun Lai

Publication date: 31 August 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00810

zbMATH Keywords

Navier-Stokes equationsStokes systemhalf spaceboundary fluxGreen tensorunbounded derivativesdipole bumpseverywhere blow-up

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (3)

Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains ⋮ Local Regularity Near Boundary for the Stokes and Navier–Stokes Equations ⋮ The Green tensor of the nonstationary Stokes system in the half space

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