搜索结果: 1-15 共查到“数学 interaction”相关记录21条 . 查询时间(0.065 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Derivation of the Vlasov equation from quantum many-body Fermionic systems with singular interaction
奇异相互作用 量子多体 费米子系统 弗拉索夫方程
2023/5/12
We consider the combined mean-field and semiclassical limit for a system of the N fermions interacting through singular potentials. We prove the uniformly in the Planck constant h propagation of quant...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
2023/5/8
The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fields o...
Formulas for the force dipole interaction of surface line defects in homoepitaxy
Formulas for the force surface line defects homoepitaxy
2015/10/16
Using asymptotics, we derive explicit, simplified formulas for integrals representing the force dipole interaction energy per unit length between line defects (steps) of the same sign that form pertur...
Mobile Interaction with Remote Worlds:The Acoustic Periscope
Virtual Reality Multi-Modal Interaction PDA Ubiquitous Computing Mobile Interaction Smart User Interface
2015/9/29
Strictly speaking, a periscope is an optical device that allows one to view and navigate the external environment.The acoustic periscope is a metaphor for mobile interaction that transparently exploit...
Gene-centric gene-gene interaction: A model-based kernel machine method
Allele matching kernel association study gene-clustered SNPs genomic similarity reproducing kernel Hilbert space quantitative traits
2012/11/23
Much of the natural variation for a complex trait can be explained by variation in DNA sequence levels. As part of sequence variation, gene-gene interaction has been ubiquitously observed in nature, w...
Reduction of Interaction Delays in Networks
Reduction of Interaction Delays Networks Dynamical Systems
2012/6/21
Delayed interactions are a common property of coupled natural systems. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed connections. Such systems are ...
Jacob's ladders and the three-points interaction of the Riemann zeta-function with itself
Riemann zeta-function Jacob's ladders Classical Analysis and ODEs
2011/9/21
Abstract: It is proved that some set of the values of $|\zeta(\sigma_0+i\vp_1(t))|^2$ on every fixed line $\sigma=\sigma_0>1$ generates a corresponding set of the values of $|\zeta(\frac 12+it)|^2$ on...
Modeling Flocks and Prices: Jumping Particles with an Attractive Interaction
Competing particles center of mass mean field evolution traveling wave fluid limit extreme value statistics
2011/9/13
Abstract: We introduce and investigate a new model of a finite number of particles jumping forward on the real line. The jump lengths are independent of everything, but the jump rate of each particle ...
An Invariance Principle for the Tagged Particle Process in Continuum with Singular Interaction Potential
Diffusion processes interacting continuous particle systems random environment invariance principles
2011/9/1
Abstract: We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle...
On the Production of Dissipation by Interaction of Forced Oscillating Waves in Fluid Dynamics
Equations of mixed hyperbolic and parabolic type oscillations BKW Calculus stability
2011/8/25
Abstract: In the context of some bidimensionnal Navier-Stokes model, we exhibit a family of exact oscillating solutions $\{u_{\epsilon}\}_{\epsilon}$ defined on some strip $[0,T]\times\R^2$ which does...
Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
nonlinear n-wave Hamiltonians Hierarchy
2011/7/7
In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special Hamiltoni...
Nonlocality-induced front interaction enhancement
nonlocal coupling spatial dynamics quantitative Nonlocality-induced
2011/7/6
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting
two equivalent states. In two prototype models we observe a large amplification in the interaction
strengt...
Dependence of Repeated Interaction Asymptotic States on Environment
repeated interaction asymptotic states open quantum systems Liouville operator
2010/12/15
Consider a quantum system S that interacts sequentially with a chain (environment) of identical
probes C = P + P + : : :, with each interaction governed by a xed interaction time and operator V .I...
A "hybrid plane" with spin-orbit interaction and magnetic field
"hybrid plane" with spin-orbit interaction magnetic field
2010/12/13
We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a \hybrid surface" consisting on a hal ine attached by its endpoints to a plane under in uence ...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...