An averaging theory for nonlinear partial differential equations

Abstract : This Ph.D thesis focuses on studying the long-time behavior of solutions for non-linear PDEs that are close to a linear or an integrable Hamiltonian PDE. An averaging theory for nonlinear PDEs is presented. The model equations are the perturbed Korteweg-de Vries (KdV) equations and some weakly nonlinear partial differential equations.
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Submitted on : Friday, June 6, 2014 - 11:56:49 AM
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Guan Huang. An averaging theory for nonlinear partial differential equations. Dynamical Systems [math.DS]. Ecole Polytechnique X, 2014. English. ⟨pastel-01002527⟩

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