Model the nonlinear instability of wall-bounded shear flows as a rare event: a study on two-dimensional Poiseuille flow

DOI10.1088/0951-7715/28/5/1409zbMath1316.35246OpenAlexW2320989078MaRDI QIDQ5251064

Xiaoliang Wan, Hai-jun Yu, E. Weinan

Publication date: 22 May 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/564f59fd90bb1d43755899b527f06cbe2ed1cdf9

zbMATH Keywords

hydrodynamic stability large deviation theory minimum action method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Large deviations (60F10) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Parallel shear flows in hydrodynamic stability (76E05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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Convergence Analysis of a Finite Element Approximation of Minimum Action Methods ⋮ Asymptotically Efficient Simulation of Elliptic Problems with Small Random Forcing ⋮ Simplified gentlest ascent dynamics for saddle points in non-gradient systems ⋮ A dynamic-solver-consistent minimum action method: with an application to 2D Navier-Stokes equations ⋮ An Hp-Adaptive Minimum Action Method Based on a Posteriori Error Estimate ⋮ Quasi-potential calculation and minimum action method for limit cycle ⋮ A Minimum Action Method for Dynamical Systems with Constant Time Delays ⋮ A thermodynamic study of the two-dimensional pressure-driven channel flow

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