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math.AP2019★ 4 cited
Convergence to normal forms of integrable PDEs
Dario Bambusi, Laurent Stolovitch
In an infinite dimensional Hilbert space we consider a family of commuting analytic vector fields vanishing at the origin and which are nonlinear perturbations of some fundamental…
math.AP2012★ 11 cited
Existence of quasipatterns solutions of the Swift-Hohenberg equation
Boele Braaksma, Gérard Iooss, Laurent Stolovitch
We consider the steady Swift - Hohenberg partial differential equation. It is a one-parameter family of PDE on the plane, modeling for example Rayleigh - Bénard convection. For val…