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This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system...
Asymptotic expansion of smooth interval maps     Asymptotic expansion  smooth interval maps  Dynamical Systems       font style='font-size:12px;'> 2012/4/16
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Asymptotic Stability of Dissipated Hamilton-Poisson Systems     dynamical systems  stability theory  rigid body       font style='font-size:12px;'> 2011/9/16
Abstract: We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Ha...

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