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Your search keyword '"Xiaoping Yuan"' showing total 2 results
Start Over Author "Xiaoping Yuan" Publisher society for industrial & applied mathematics
2 results on '"Xiaoping Yuan"'

1. ON LINEAR STABILITY OF KAM TORI VIA THE CRAIG--WAYNE--BOURGAIN METHOD.

Author

XIAOLONG HE, JIA SHI, YUNFENG SHI, and XIAOPING YUAN

Subjects
TORUS
Abstract

In this paper, we revisit the Melnikov's persistency problem and illustrate that the Craig--Wayne--Bourgain method can be strengthened to obtain both the existence and linear stability of the invariant tori. The proof is free from the second Melnikov's condition. [ABSTRACT FROM AUTHOR]

Published
2024
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2. LONG TIME STABILITY OF HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS.

Author

XIAOPING YUAN and JING ZHANG

Subjects
*HAMILTON'S equations, *STABILITY theory, *PARTIAL differential equations, *BIRKHOFF'S theorem (Relativity), *NORMAL forms (Mathematics), *PERTURBATION theory
Abstract

An abstract Birkhoff normal form theorem is constructed for infinite dimensional Hamiltonian systems with unbounded perturbations. It is shown, for a class of derivative nonlinear Schrödinger equations, that any solution with small initial value remains small in high index Sobolev norm over a long time. [ABSTRACT FROM AUTHOR]

Published
2014
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