Description The monodomain equation in computational cardiology, which describes the electrical activity of the heart, is a singularly perturbed reaction-diffusion equation. In this talk, I will...
Event Topic Stochastic & Multiscale Modeling and Computation
Description Our study aims to find out under which condition a numerical method preserves the energy dissipation law of a system. in this case the system is ions transport in ions channels. We will...
Description Stochastic differential equations (SDEs) driven by non-Gaussian Levy noises have attracted much attention recently, the authors studied a scalar SDE driven by a non-Gaussian Levy motion...
Description We use immersed boundary method to incorporate the thermal noise into the model. A delta function is used to couple the fluid with the membrane. And a finite difference discretization of...
Description Many physical problems involve moving interfaces. Two fluids meet in a Hele-Shaw cell at the interface with the Laplace-Young condition, which a classical model satisfies. The boundary...
Description Tumor evolution is regulated by a reduced set of nondimensional parameters that characterize mitosis, apoptosis, and the ratio of tumor and host viscosities. The nonlinear simulations are...
Description The existence of uncountably infinite global monotonic wavefront solutions and semi-wavefront solutions with bounded support is proved for a general nonlinear diffusion-convection equation...
Description The purpose of this talk is to describe the application of dynamical systems techniques to study fluid flow. In particular we will focus on flow in the cardiovascular system. It is widely...
Event Topic Stochastic & Multiscale Modeling and Computation
