Navier-Stokes equations on non-compact Einstein manifolds: stability implies periodicity

DOI10.1016/j.jmaa.2021.125544zbMath1489.35188OpenAlexW3185111967MaRDI QIDQ2235968

Vu Thi Ngoc Ha, Nguyen Thieu Huy

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125544

zbMATH Keywords

stabilityNavier-Stokes equationsperiodic solutionsSerrin's principlenegative Ricci curvature tensornon-compact Einstein manifolds

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (3)

Stability and periodicity of solutions to Navier-Stokes equations on non-compact Riemannian manifolds with negative curvature ⋮ Periodic motions of the non-autonomous Oseen-Navier-Stokes flows past a moving obstacle with data in \(L^p\)-spaces ⋮ Ricci curvature and the size of initial data for the Navier-Stokes equations on Einstein manifolds

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