Some stability and instability criteria for ideal plane flows
From MaRDI portal
Publication:1424143
DOI10.1007/s00220-004-1045-3zbMath1061.76016OpenAlexW2041444749MaRDI QIDQ1424143
Publication date: 9 March 2004
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-004-1045-3
PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items (17)
A Morse Index Theorem for Elliptic Operators on Bounded Domains ⋮ Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems ⋮ On nonlinear stabilization of linearly unstable maps ⋮ Dynamics near Couette flow for the \(\beta \)-plane equation ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Metastability of Kolmogorov flows and inviscid damping of shear flows ⋮ Three-dimensional instability of planar flows ⋮ Unstable surface waves in running water ⋮ On the unstable discrete spectrum of the linearized 2-D Euler equations in bounded domains ⋮ Instability of nonlinear dispersive solitary waves ⋮ Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin's operators ⋮ The \(L^2\) essential spectrum of the 2D Euler operator ⋮ Linear inviscid damping and vorticity depletion for shear flows ⋮ Linear instability of ideal flows on a sphere ⋮ Unstable Manifolds of Euler Equations ⋮ Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation ⋮ Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
This page was built for publication: Some stability and instability criteria for ideal plane flows