167 citations · 785 across the 26 of their papers we have counts for
26 papers
Transitional channel flow: A minimal stochastic model
Paul Manneville, Masaki Shimizu
In line with Pomeau's conjecture about the relevance of directed percolation (DP) to turbulence onset/decay in wall-bounded flows, we propose a minimal stochastic model dedicated t…
Subcritical transition to turbulence in wall-bounded flows: the case of plane Poiseuille flow
Paul Manneville, Masaki Shimizu
In wall-bounded flows, the laminar regime remain linearly stable up to large values of the Reynolds number while competing with nonlinear turbulent solutions issued from finite amp…
Bifurcations to turbulence in transitional channel flow
Masaki Shimizu, Paul Manneville
In wall-bounded parallel flows, sustained turbulence can occur even while laminar flow is still stable. Channel flow is one of such flows and displays spatio-temporal fluctuating p…
On the generation of drift flows in wall-bounded flows transiting to turbulence
Paul Manneville
Despite recent progress, laminar-turbulent coexistence in transitional planar wall-bounded shear flows is still not well understood. Contrasting with the processes by which chaotic…
Laminar-Turbulent Patterning in Transitional Flows
Paul Manneville
Wall-bounded flows experience a transition to turbulence characterized by the coexistence of laminar and turbulent domains in some range of Reynolds number R, the natural control p…
Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
Hugues Chaté, Paul Manneville
After a brief introduction to the complex Ginzburg-Landau equation, some of its important features in two space dimensions are reviewed. A comprehensive study of the various phases…