Brown University
Joint Material/Solid Mechanics Seminar Series
Abstract: The buckling of thin film on compliance substrate has many applications, such as the development of flexible electronics. The wavelength and amplitude of wrinkles can be predicted by a 2D theoretical model, in which the infinite assumption is used and the tangential traction along the interface is assumed to be zero to obtain an analytical solution. However, experiment results showed that boundary effects play a role in the buckling and post-buckling behavior of the system. How do the boundary effects affect the wrinkle formation and the deformation of wrinkles when subjected to further compression? We investigated the problem numerically. It is shown that nonuniform wrinkles are generated and the post-bucking behavior is complicated.
Center for Fluid Mechanics
And
The Fluids, Thermal And Chemical Processes Group
Of
The Division Of Engineering
Seminar Series
Mechanical & Aerospace Engineering Rutgers University Piscataway, NJ | |
Abstract: Computational modeling and simulation of blood flow in small vessels of diameter 10--300 micron remain a major challenge. It is because blood in such vessels behaves as a multiphase suspension of deformable particles.
Individuality of blood cells, with diameter ranging from 5 to 15 micron, must be recognized in small vessels. At the same time, a large number of cells must be considered to realistically simulate the blood flow in such vessels.
Red blood cells (RBC) are highly deformable particles. Deformability of RBC, and cell-to-cell interaction give rise to many hydrodynamical phenomena, such as Fahraeus and Fahraeus-Lindqvist effects, that have immense biological significance.
Deformability of white blood cells (WBC) also plays a major role during adhesive rolling that these cells perform as a part of the body's immune response.
This talk will present 3D, multiscale computational modeling and simulation of deformable particles, with specific focus on the hemodynamics of blood cells in microvessels, typical of microcirculation and microfluidic devices. Rheology of blood in microcirculation, and hydrodynamics of cell-cell and cell-wall interaction will be presented.
Stochastic Systems Seminar
Abstract: While stochastic integral with respect to a standard Brownian motion is a well-studied object, integration with respect to other Gaussian processes is currently an area of active research, and the fractional Brownian motion is receiving most of the attention. The objective of this talk is to define and investigate stochastic integrals with respect to arbitrary Gaussian processes and fields using chaos expansion.
Brown Analysis Seminar
Transatlantic Seminar
PDE Seminar
Abstract: The notion of black hole plays a central role in general relativity. Nonetheless, the most basic mathematical questions about black holes remain unanswered, in particular, the question of their stability with respect to perturbation of initial data. In this talk, I will discuss how this problem is mathematically formulated, emphasizing its relation to decay properties for solutions of wave equations. I will then discuss recent progress on various related problems.
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