Hamiltonian Partial Differential Equations: New Connections between Dynamical systems and PDEs with small divisors phenomena
Investigators: Massimiliano Berti
Abstract: Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltonian systems. Main examples are the nonlinear wave equation, the nonlinear Schrodinger equation, the beam, the membrane and the Kirkhoff equations in elasticity theory, the Euler equations of hydrodynamics as well as their approximate models like the KdV, the Camassa-Holm, the Kadomtsev-Petviashvili equations, the De Gasperis-Procesi, etc...
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