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Faculty of Computational Mathematics and Cybernetics
Shenzhen MSU-BIT University, China
E-mail: luo.yongming@smbu.edu.cn
I'm a mathematician specializing in partial differential equations.
Short CV
Education- Ph.D. in Mathematics, Universität Kassel (2014-2019)
- M.Sc. in Mathematics, Technische Universität München (2011-2014)
- B.Sc. in Mathematics, Technische Universität München (2008-2011)
- Senior Lecturer, Shenzhen MSU-BIT University (2023.03-Present)
- Postdoctoral Fellow, Technische Universität Dresden (2020.04-2023.01)
Publications
Preprints-
A Legendre-Fenchel identity for the nonlinear Schrödinger equations on $\mathbb{R}^d\times\mathbb{T}^m$: theory and applications.
[arXiv] -
On the focusing fractional nonlinear Schrödinger equation on the waveguide manifolds.
(with A. Esfahani, H. Hajaiej and L. Song)
[arXiv] -
Efficient uncertainty quantification for mechanical properties of randomly perturbed elastic rods.
(with P. Dondl, S. Neukamm and S. Wolff-Vorbeck)
[arXiv] -
On well-posedness results for the cubic-quintic NLS on $\mathbb{T}^3$.
(with X. Yu, H. Yue and Z. Zhao)
[arXiv] -
Normalized ground states and threshold scattering for focusing NLS on $\mathbb{R}^d\times\mathbb{T}$ via semivirial-free geometry.
[arXiv]
-
Almost sure scattering for the defocusing cubic nonlinear Schrödinger equation on $\mathbb{R}^3\times\mathbb{T}$.
J. Funct. Anal. 287 (2024), no. 4, Paper No. 110492, 33 pp. [arXiv] [Journal] -
Sharp scattering for focusing intercritical NLS on high-dimensional waveguide manifolds.
Math. Ann. 389 (2024), no. 1, 63–83. [arXiv] [Journal] -
On existence and stability results for normalized ground states of mass-subcritical biharmonic NLS on $\mathbb{R}^d\times\mathbb{T}^n$.
(with H. Hajaiej and L. Song)
SIAM J. Math. Anal., to appear. [arXiv] -
On long time behavior of the focusing energy-critical NLS on $\mathbb{R}^d\times\mathbb{T}$ via semivirial-vanishing geometry.
J. Math. Pures Appl. 177 (2023), 415–454. [arXiv] [Journal] -
On the sharp scattering threshold for the mass–energy double critical nonlinear Schrödinger equation via double track profile decomposition.
Ann. Inst. H. Poincaré C Anal. Non Linéaire 41 (2024), no. 1, 187–255. [arXiv] [Journal] -
Sharp scattering threshold for the cubic-quintic NLS in the focusing-focusing regime.
J. Funct. Anal. 283 (2022), no. 1, Paper No. 109489, 34 pp. [arXiv] [Journal] -
On the local in time well-posedness of an elliptic–parabolic ferroelectric phase-field model.
Nonlinear Anal. Real World Appl. 65 (2022), Paper No. 103462, 30 pp. [arXiv] [Journal] -
On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions.
(with A. Stylianou)
Discrete Contin. Dyn. Syst. Ser. B 26 (2021), no. 6, 3455–3477. [arXiv] [Journal] -
Ground states for a nonlocal mixed order cubic-quartic Gross-Pitaevskii equation.
(with A. Stylianou)
J. Math. Anal. Appl. 496 (2021), no. 1, Paper No. 124802, 20 pp. [arXiv] [Journal]
Permanant notes
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Large data global well-posedness and scattering for the focusing cubic nonlinear Schrödinger equation on $\mathbb{R}^2\times\mathbb{T}$.
[arXiv] -
Normalized ground states for 3D dipolar Bose-Einstein condensate with attractive three-body interactions.
(with A. Stylianou)
[arXiv] -
Scattering threshold for radial defocusing-focusing mass-energy double critical nonlinear Schrödinger equation in $d\geq 5$.
[arXiv]