Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature

DOI10.1007/s13324-021-00488-2zbMath1460.35263OpenAlexW3132824621MaRDI QIDQ2656224

Nguyen Thieu Huy, Vu Thi Ngoc Ha, Truong Xuan Pham, Thi Mai Vu

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00488-2

zbMATH Keywords

stabilityNavier-Stokes equationsperiodic solutionsEinstein manifoldsnegative Ricci curvature tensor

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Periodic and almost periodic evolution flows and their stability on non-compact Einstein manifolds and applications ⋮ Stability and periodicity of solutions to Navier-Stokes equations on non-compact Riemannian manifolds with negative curvature ⋮ On periodic solutions of the incompressible Navier-Stokes equations on non-compact Riemannian manifolds ⋮ Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ Periodic motions of the non-autonomous Oseen-Navier-Stokes flows past a moving obstacle with data in \(L^p\)-spaces

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