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2017年流体和等离子体中的偏微分方程模型和非线性研讨会(PDE Models and Nonlinear Waves in Fluids and Plasmas Workshop)
2017年 流体和等离子体中的偏微分方程模型和非线性 研讨会
2017/11/24
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
Existence, Stability, and Dynamics of Solitary Waves in Nonlinear Schroedinger Models with Periodic Potentials
Non-square lattices, Nonlinear waves Photonic lattices
2014/12/8
The focus of this dissertation is the existence, stability, and resulting dynamical evolution of localized stationary solutions to Nonlinear Schr¨odinger (NLS) equations with periodic confining potent...
Statistical Methods for Nonlinear Dynamic Models with Measurement Error Using the Ricker Model
measurement error ricker SIMEX
2014/12/8
In ecological population management, years of animal counts are fit to nonlinear, dynamic models (e.g. the Ricker model) because the values of the parameters are of interest. The yearly counts are sub...
Convergence of approximate deconvolution models to the mean Magnetohydrodynamics Equations: Analysis of two models
Magnetohydrodynamics Large Eddy Simulation Deconvolution models
2012/6/27
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two $\alpha$-models, which are obtained ...
On the long-time behavior of some mathematical models for nematic liquid crystals
liquid crystals Navier-Stokes system omega-limit set
2011/9/21
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
Prandtl number effects in MRT Lattice Boltzmann models for shocked and unshocked compressible fluids
lattice Boltzmann method compressible flows multiple-relaxation-time Prandtl number shock wave reaction
2011/7/7
For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL \textbf{90} (2010) 54003; Phys. Lett. A \text...
On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
multicomponent nonlinear Schrodinger equations symmetric BD.I-type symmetric spaces
2010/4/1
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...