搜索结果: 1-11 共查到“数学基础 system”相关记录11条 . 查询时间(0.187 秒)
The Quantum Hydrodynamics system in two space dimensions
The Quantum Hydrodynamics system dimensions
2010/11/23
In this paper we study global existence of weak solutions for the Quantum Hydrodynamics System in 2-D in the space of energy. We do not require any additional regularity and/or smallness assumptions ...
The isentropic Euler system admits some plane wave superpositions
The isentropic Euler system wave superpositions
2010/11/8
A class of differentiable solutions is proved for the isentropic Euler equations in two and three space dimensions. The solutions are explicitly given in terms of solutions to inviscid Burgers equati...
A System of Third-Order Differential Operators Conformally Invariant under $\mathfrak{so}(8,\mathbb{C})$
Conformally Invariant math
2010/11/9
In earlier work, Barchini, Kable, and Zierau constructed a number of conformally invariant systems of differential operators associated to Heisenberg parabolic subalgebras in simple Lie algebras. The...
A discrete dynamical system for the short-range optimization strategy at collective Parrondo games
A discrete dynamical system the short-range optimization strategy
2010/11/12
We consider a collective version of Parrondo's games with probabilities parametrized by rho in (0,1) in which a fraction phi in (0,1] of an infinite number of players collectively choose and individu...
Effective dynamicsof a coupled microscopic-macroscopic stochastic system
microscopic-macroscopic stochastic system math
2010/11/18
A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems....
Optimal $\mathfrak{L}^β$-Control for the Global Cauchy Problem of the Relativistic Vlasov-Poisson System
the Global Cauchy Problem Relativistic Vlasov-Poisson System
2010/11/15
Recently, M.K.-H. Kiessling and A.S. Tahvildar-Zadeh proved that a unique global classical solution to the relativistic Vlasov-Poisson system exists whenever the positive, integrable initial datum is...
Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions
Positive solutions parabolic system cross-diffusion nonlocal initial conditions
2010/11/19
The paper is concerned with a system consisting of two coupled nonlinear parabolic equations with a cross-diffusion term, where the solutions at positive times define the initial states. The equation...
Low regularity well-posedness for the 3D Klein-Gordon-Schrödinger system
the 3D Klein-Gordon-Schrö dinger system math
2010/11/19
The Klein-Gordon-Schr\"odinger system in 3D is shown to be locally well-posed for Schr\"odinger data in H^s and wave data in H^{\sigma} \times H^{\sigma -1}, if s > - \frac{1}{4}, \sigma > - \frac{1}...
Difference system for Selberg correlation integrals
Difference system Selberg correlation integrals
2010/11/12
The Selberg correlation integrals are averages of the products $\prod_{s=1}^m\prod_{l=1}^n (x_s - z_l)^{\mu_s}$ with respect to the Selberg density. Our interest is in the case $m=1$, $\mu_1 = \mu$, w...
A Cyber Security Study of a SCADA Energy Management System: Stealthy Deception Attacks on the State Estimator
A Cyber Security Study SCADA Energy Management System
2010/11/15
The electrical power network is a critical infrastructure in today's society, so its safe and reliable operation is of major concern. State estimators are commonly used in power networks, for example,...
Redundant Picard-Fuchs system for Abelian integrals
Redundant Picard-Fuchs system Abelian integrals
2010/10/29
We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the ...