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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global unique solutions for the inhomogeneous Navier-Stokes equation with only bounded density, in critical regularity spaces
临界正则性空间 界密度 非齐次 纳维-斯托克斯方程 全局唯一解
2023/4/25
Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
This is the main paper in a sequence in which, in collaboration with I. Rodnianski and J. Szeftel, we give a complete proof of the conjecture according to which the time of existence of solutions to t...
Dynamics of hydrogen-like atom bounded by maximal acceleration
Maximal acceleration Extended Relativistic Dynamics Hydrogen-like atom probabilistic description center of mass
2012/4/20
The existence of a maximal acceleration for massive objects was conjectured by Caianiello 30 years ago based on the Heisenberg uncertainty relations. Many consequences of this hypothesis have been stu...
Optimal bounded trigonometry control of N-level quantum systems based on the geometrical parametrization
Optimal bounded trigonometry control N-level quantum systems based geometrical parametrization
2010/11/5
Based on the observation that the pure states of $N-$level quantum systems can be expressed in terms of $2(N-1)$ real geometric parameters, we make full use of distinguished properties of generalized ...
Achieving the physical limits of the bounded-storage model
physical limits bounded-storage model
2010/10/19
Secure two-party cryptography is possible if the adversary’s quantum storage device suffers imperfections.For example, security can be achieved if the adversary can store strictly less then half of th...
Bounded lognormal cascades as quasi-multiaffine random processes
Bounded lognormal cascades quasi-multiaffine random processes
2009/11/13
A new model for simulating non-negative random processes is developed. The model is based on a bounded random multiplicative cascade with a lognormal generator with the scale parameter dependent on th...
The completely bounded trace and spectral norms in finite dimensions are shown to be expressible by semidefinite programs. This provides an efficient method by which these norms may be both calculated...
期刊信息
篇名
Bandwidth guaranteed, delay, and delay variation-bounded integrated routing and wavelength assignment algorithm for multicast in IP/DWDM optical Internet
语种
英文
撰写或编译
作者
Xingwei Wang,Hui Cheng,...
Critical Behavior of a Bounded Kardar-Parisi-Zhang Equation
Critical Behavior a Bounded Kardar-Parisi-Zhang Equation
2010/10/28
A host of spatially extended systems, both in physics and in other disciplines, are well described at a coarsegrained scale by a Langevin equation with multiplicative-noise. Such systems may exhibit n...