418 citations
- Chinese Academy of SciencesCN26 papers
- Beijing Normal UniversityCN3 papers
- Illinois Institute of TechnologyUS2 papers
- Kavli Institute for Theoretical SciencesCN2 papers
- Shanghai Jiao Tong UniversityCN2 papers
- Academia SinicaTW1 paper
- Beijing Institute of TechnologyCN1 paper
- Capital Normal UniversityCN1 paper
- Carleton UniversityCA1 paper
- Central South UniversityCN1 paper
- City University of Hong KongHK1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
17 papers
Long-time self-similar asymptotic of the macroscopic quantum models
Hai-Liang Li, Guo-Jing Zhang, Min Zhang +1
The unipolar and bipolar macroscopic quantum models derived recently for instance in the area of charge transport are considered in spatial one-dimensional whole space in the prese…
Solutions of Navier Equations and Their Representation Structure
Bintao Cao
Navier equations are used to describe the deformation of a homogeneous, isotropic and linear elastic medium in the absence of body forces. Mathematically, the system is a natural v…
Quantum reinforcement learning
Daoyi Dong, Chunlin Chen, Hanxiong Li +1
The key approaches for machine learning, especially learning in unknown probabilistic environments are new representations and computation mechanisms. In this paper, a novel quantu…
General Matrix-Valued Inhomogeneous Linear Stochastic Differential Equations and Applications
Jinqiao Duan, Jia-an Yan
The expressions of solutions for general matrix-valued inhomogeneous linear stochastic differential equations are derived. This generalizes a result of Jaschke (2003) f…
Proof of the entropy bound on dynamical horizons
Sijie Gao, Xiaoning Wu
The entropy bound conjecture concerning black hole dynamical horizons is proved. The conjecture states, if a dynamical horizon, , is bounded by two surfaces with areas of $A_B…
Well-posedness of the water-wave problem with surface tension
Mei Ming, Zhifei Zhang
In this paper, we prove the local well-posedness of the water wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom,…