研究领域
Long time dynamics of dispersive equations; Weak turbulence; Infinite dimensional Hamiltonian systems
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Liang, Z., Zhao, Z., Zhou, Q.: Almost reducibility and oscillatory growth of Sobolev norms. Advances in Mathematics, 436, 2024.
Luo, J., Liang, Z., Zhao, Z.: Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbation. Commun. Math. Phys., 392, 2022.
Liang Zhenguo, Wang Zhiqiang, Reducibility of quantum harmonic oscillator on Rd perturbed by a quasi-periodic potential with logarithmic decay, Calc.Var.PDE, 61:155, 2022.
Liang Zhenguo, Wang Zhiqiang, Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials,Nonlinearity 35, 2022.
Liang, Z., Zhao, Z., Zhou, Q.: 1-d Quantum Harmonic Oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms. J. Math. Pures Appl., 146, 2021.
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