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We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model ...
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
A brief introduction to Peridynamics model and a fast algorithm for the nonlocal unsteady problems is given in this talk. The POD algorithm can be employed in the numerical simulation of nonlocal diff...
For unipolar hydrodynamic model of semiconductor device represented by Euler-Poisson equations, when the doping profile is supersonic, the existence of steady transonic shock solutions and C^\infty-sm...
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
We are concerned with stability and instability of the steady state (1,0, 1, 0) for a generic non–conservative compressible two–fluid model in R^3. Under the assumption that the initial fraction densi...
The purpose of this Symposium is to bring renowned experts as well as young promising researchers from Engineering, Mathematics, and Computer Science from the academic and industrial field to identify...
Center manifold analysis of a DDE model of gene expression     Delay  DDE  Center manifold  Hopf bifurcation  Gene transcription       font style='font-size:12px;'> 2015/8/27
We use center manifold theory to analyze a model of gene transcription and protein synthesis which consists of an ordinary differential equation (ODE) coupled to a delay differential equation (DDE). T...
The sinoatrial (SA) node is a group of self-oscillatory cells in the heart which beat rhythmi-cally and initiate electric potentials, producing a wave of contraction that travels through the heart res...
Origin of arrhythmias in a heart model     Nonlinear vibrations  Cardiology  Relaxation oscillations       font style='font-size:12px;'> 2015/8/27
An investigation of the nonlinear dynamics of a heart model is presented. The model com-partmentalizes the heart into one part that beats autonomously (the x oscillator), repre-senting the pacemaker o...
A simple one dimensional glassy Kac model     Random rotation model  sparse  numerical analysis  random       font style='font-size:12px;'> 2015/8/21
We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). ...
A finite element model of localized deformation in frictional materials taking a strong discontinuity approach is presented. A rate-independent, non-associated, strain-softening Drucker-Prager plastic...
This paper presents a fnite element model for strain localization analysis of elastoplastic solids subjected to discontinuous displacement felds based on standard Galerkin approximation. Strain enhanc...
The unstructured-grid SUNTANS model is applied to San Francisco Bay using a grid with an average resolution of 50 m. This accurately resolves tidal hydrodynamics in a domain that extends from the Paci...
In this paper we present a radiometric block adjustment method that is related to geometric block adjustment and to the concept of a terrain Digital Radiometric Model (DRM) as a complement to the terr...

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