On nonlinear stability of stationary planar Euler flows in an unbounded strip

DOI10.1016/0362-546X(86)90065-9zbMath0662.76067MaRDI QIDQ3813483

Carlo Marchioro, Silvia Caprino

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceLyapunov stabilityEuler equationsincompressible nonviscous fluidtwo-dimensional motionunbounded stripuniqueness of the weak solutionnonsmooth stationary states

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Nonlinear stability for stationary helical vortices ⋮ On the growth of the support of positive vorticity for 2D Euler equation in an infinite cylinder ⋮ 2D Euler equation on the strip: Stability of a rectangular patch ⋮ A remark on the stability problem in fluid dynamics ⋮ Two-dimensional Euler equations in an exterior domain.

Cites Work

• Some considerations on the nonlinear stability of stationary planar Euler flows
• Nonlinear stability of circular vortex patches
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Nonlinear stability of fluid and plasma equilibria
• On the nonlinear stability of circular vortex patches
• On an apriori estimate in the theory of hydrodynamical stability
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