As fish or other bodies move through a fluid, they stir theirsurroundings. This can be beneficial to some fish, since the planktonthey eat depends on a well-stirred medium to feed on nutrients.Bacterial colonies also stir their environment, and this is even morecrucial for them since at small scales there is no turbulence to helpmixing. It has e...
Creator:
Thiffeault, Jean-Luc (University of Wisconsin, Madison)
Created:
2010-04-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Consider a Brownian particle in a deterministic time-independent incompressible flow in a bounded domain. We are interested how flow affects the expected exit time, the time the particle needs to reach the boundary of the domain. In particular, whether the presence of the flow decreases the maximum of this expected exit time. One would expect th...
Creator:
Novikov, Alexei (The Pennsylvania State University)
Created:
2010-04-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will outline the application of the fluctuating lattice-Boltzmann equationto the simulation of polymer solutions. Then I will describe a numericalassessment of the accuracy of lattice-Boltzmann methods for polymers, bycomparison with Brownian dynamics simulations on a similar model system.We will examine the relaxation spectrum of an isolated ...
Creator:
Ladd, Tony (University of Florida)
Created:
2009-10-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will present examples of field theoretic models of multi-component and complex fluids and discuss their main computational challenges and recent advances. We will start with simple phase field based models and progress to a class of field-theoretic models that incorporate exact thermodynamics. In particular, we willpresent a model for an inho...
Creator:
Ceniceros, Hector D. (University of California, Santa Barbara)
Created:
2009-10-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will present some results on obliquely reflected Brownian motion in fractal domains. Time permitting, I will also discuss discrete approximations of reflected Brownian motion in fractal domains. Joint work with Zhenqing Chen, Donald Marshall and Kavita Ramanan.
Creator:
Burdzy, Krzysztof (University of Washington)
Created:
2015-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Consider the system of annihilating Brownian motions (ABM's) on the real lineunder the maximal entrance law. It turns out that the law of particles' positions at a given time is a Pfaffian point process equivalent to the law of real eigenvalues for the real Ginibre ensemble. Moreover, multi-time intensities for the system of ABM's are an extende...
Creator:
Zaboronski, Oleg V (University of Warwick)
Created:
2013-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The motion of a single individual particle in a complexmaterial is fundamental to understanding the dynamicalproperties of the material. Monitoring such motion has givenrise to a suite of experimental techniques collectively knownas €˜microrheology,' with the ability to probe the viscoelasticproperties of soft heterogeneous materials (e.g. polym...
Creator:
Brady, John F. (California Institute of Technology)
Created:
2009-10-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Stock loans involve two parties: a borrower and a lender. The borrower owns one share of stock and obtains a loan from the lender using the share of stock as collateral. At maturity, the borrower must choose between 1) repaying the lender the principal plus interest to regain the stock and 2) defaulting on the loan and surrendering the stock. Mo...
Creator:
Prager, David (Anderson University)
Created:
2018-06-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many dispersions of colloidal particles with application in materials processing, biological assays, or medicine, contain elongated particles (e.g. ellipsoidal disks, rods, etc.) Recently these particles have been used in drug delivery applications because of the inability of leukocytes to easily rid them from the circulation. Moreover such part...
Creator:
Shaqfeh, Eric S. G. (Stanford University)
Created:
2009-12-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Suppose you have one unit of stock, currently worth 1, which you must sell before time $T$. The Optional Sampling Theorem tells us that whatever stopping time we choose to sell, the expected discounted value we get when we sell will be 1. Suppose however that we are able to see $a$ units of time into the future, and base our stopping rule on tha...
Creator:
Ernst, Philip (Rice University)
Created:
2018-06-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.