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Showing 1 to 3 of 3 for “"Quasi-periodic solutions"”.
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Never breaking quasi-periodic solutions of weakly nonlinear gas dynamics
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS
In this thesis we study quasilinear PDEs on tori and we prove existence results of quasi-periodic large amplitude solutions for fluid-dynamic models in more than one space-dimension and a stability result for the linear Klein-Gordon Equation with a small quasi-periodic perturbation. In the first …
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TWO RESULTS ON THE GLOBAL DYNAMICS OF PDES ON THE CIRCLE.
… c → ∞. More precisely, it is known that smooth solutions of the Klein-Gordon equation converge over compact intervals of time to solutions of the nonlinear Schrödinger equation. This chapter is a joint work with D. Bambusi and F. Giuliani. Our main theorems show that, after an explicit Gauge …