An Example of Instability for the Navier–Stokes Equations on the 2–dimensional Torus

DOI10.1080/03605309208820911zbMath0781.35054OpenAlexW1998522079MaRDI QIDQ4033779

Vincent Xiaosong Liu

Publication date: 16 May 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820911

zbMATH Keywords

stationary solutionexternal force

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)

Related Items

Nonlinear instability in an ideal fluid, Remarks on the navier-stokes equations on the two and three dimensional torus, Instability of unidirectional flows for the 2D Navier-Stokes equations and related \(\alpha\)-models, Time dependent periodic Navier-Stokes flows on a two-dimensional torus, Instability for the Navier-Stokes equations on the 2-dimensional torus and a lower bound for the Hausdorff dimension of their global attractors, Mathematical problems for the next century, Bifurcation analysis of Kolmogorov flows, A sharp lower bound for the Hausdorff dimension of the global attractors of the 2D Navier-Stokes equations

Cites Work

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• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
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