The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-la...
supported by the National Natural Science Foundation of China(Nos.11271340 and11671369)
This paper aims to present a new streamline diffusion method with low order rectangular Bernardi-Raugel elements to solve the generalized Oseen equations. With the help of the Bramble-Hilbert lemma, the optimal errors...
supported by the National Natural Science Foundation of China(Nos.11072141 and11272199);the National Basic Research Program of China(No.2012CB725404);the Shanghai Program for Innovative Research Team in Universities;the Research Grants Council of the Hong KongSpecial Administrative Region,China(No.HKU7184/10E);the National Research Foundationof Korea(MEST)(No.NRF-2010-0029446)
This paper uses the Taylor expansion to seek an approximate Korteweg- de Vries equation (KdV) solution to a higher-order traffic flow model with sufficiently large diffusion. It demonstrates the validity of the appr...
This work creates a droplet battery model based on the electrolyte performance in the porous electrode, studies the current density on the mesoscopic scale, and explains how the mesoscopic structure of the porous elec...
supported by the National Natural Science Foundation of China (Nos. 10971124 and 11001160);the Natural Science Basic Research Plan in Shaanxi Province of China (Nos. 2011JQ1015 and 2009JQ100);the Doctor Start-up Research Fund of Shaanxi University of Science and Technology (No. BJ10-17)
The general Brusselator system is considered under homogeneous Neumann boundary conditions.The existence results of the Hopf bifurcation to the ordinary differential equation (ODE) and partial differential equation ...
supported by the National Basic Research Program of China(973 Program)(No.2007CB714600)
The preconditioning technique can address the stiffness of a low Mach number flow, while its stability is poor. Based on the conventional preconditioning method of Roe's scheme, a low-diffusion scheme is proposed. An...
supported by the National Natural Science Foundation of China(No.10771150);the National Basic Research Program of China(No.2005CB321701);the Program for New Century Excellent Talents in University(No.NCET-07-0584);the Natural Science Foundation of Sichuan Province(No.07ZB087)
A nonconforming finite element method of finite difference streamline diffusion type is proposed to solve the time-dependent linearized Navier-Stokes equations. The backward Euler scheme is used for time discretizatio...
The present paper is concerned with the investigation of disturbances in'a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate a...
Project supported by the National Natural Science Foundation of China (No.10571078);the Natural Science Foundation of Gansu Province of China (No.3ZX062-B25-012)
The existence, uniqueness and global asymptotic stability for the equilibrium of Hopfield-type neural networks with diffusion effects are studied. When the activation functions are monotonously nondecreasing, differen...
Project supported by the National Natural Science Foundation of China (No.20299030)
Numerical simulation using the finite differential method was carried out to analyze the diffusion of an impulse sample in the micro-channel driven by electroosmosis. The results show that the electrical field strengt...