Jan
21
The Noise Effect on PDE
Event Topic Stochastic & Multiscale Modeling and Computation
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Nov
6
A Finite Difference Scheme for the Poisson-Nernst-Plank Equations that Conserves the Energy Law
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...
Oct
30
Mean Exit Time and Escape Probability For Dynamical Systems Driven by Levy Noise
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...
Oct
16
Numerical Simulation of the Dynamics of a Bio-Membrane in Viscous Flow with Thermal Noise
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...
Oct
9
Modeling an Elastic Fingering Instability in a Reactive Hele-Shaw flow
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...
Sep
25
Tumor Morphological Stability Using the Stokes Model
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...
Oct
19
On the Traveling Wave Solutions for a Nonlinear Diffusion-Convection Equation: Dynamical System Approach
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...
Apr
26
A Dynamical Systems Method for Studying Fluid Transport
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...
Apr
13
Wiener Measure and Wiener Shift for Stochastic Dynamical Systems
Event Topic Stochastic & Multiscale Modeling and Computation
Apr
5
Inverse Problems for Stochastic PDEs Driven by Multiplicative Fractional Noise
Description We will focus on estimating the drift coefficient and the Hurst parameter for some parabolic SPDEs driven by multiplicative fractional noise. Using the singularity of the probability...