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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...
Conditions for Unique Solutions in Stochastic Macroeconomic Models with Rational Expectations
Unique Solutions Stochastic Macroeconomic Models
2015/8/5
This paper examines conditions for the uniqueness of an equilibrium price distribution in
stochastic macroeconomic models with rational expectations. A model is developed in
which many price distrib...
Studies of Wings Supporting Non-unique Solutions in Transonic Flows
Wings Supporting Non-unique Solutions Transonic Flows
2015/7/6
Non-unique numerical solutions of transonic flows over airfoils have been found, first for potential flow equation, and later for Euler and RANS equations. The studies have also been...
Further Studies of Airfoils Supporting Non-Unique Solutions in Transonic Flow
Further Studies Airfoils Supporting Non-Unique Solutions Transonic Flow
2015/7/3
Non-unique solutions of the Euler equations were originally discussed by Jameson in 1991 (“Airfoil Admitting Non-Unique Solutions to the Euler Equations,” AIAA Paper 1991-1625, June 1991) for several ...
Unique Solutions to Hartree-Fock Equations for Closed Shell Atoms
Unique Solutions Hartree-Fock Equations Closed Shell Atoms
2011/2/25
In this paper we study the problem of uniqueness of solutions to the Hartree and Hartree-Fock equations of atoms. We show, for example, that the Hartree-Fock ground state of a closed shell atom is uni...
Engineering Unique Solutions to Common Medical Problems
Engineering Unique Solutions Common Medical Problems
2009/12/17
When it comes to medicine, one might consider Shayn M. Peirce-Cottler, Ph.D., a professional problem-solver. One of the University of Virginia’s most prolific inventors, the biomedical engineer has de...