Applied Math Colloquium  Fall 2019
Colloquia are held on Fridays at 11:30 a.m. in Cullimore Lecture Hall II, unless noted otherwise. Refreshments are served at 11:30 a.m.
Colloquia are held on Fridays at 11:30 a.m. in Cullimore Lecture Hall II, unless noted otherwise. Refreshments are served at 11:30 a.m.
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Date  Speaker, Affiliation, and Title  Host 
September 6  Yuannan Young, New Jersey Institute of Technology From SelfAssembly of Nanoscale Lipid Molecules to Micronscale Vesicle Hydrodynamics Under Adhesion In this talk I will present some of the work completed during my sabbatical. The first subject is the selfassembly of lipid molecules in a solvent. The second subject is on the effects of adhesion on vesicle hydrodynamics in various flows. In the first half I will demonstrate how interactions between amphiphilic particles (such as lipid macromolecules) in a solvent can lead to formation of structures such as micelles and bilayer membranes. Using a hybrid description for coarsegrained lipid molecules that interact via a continuum action field we convert the problem to a boundary integral equation with moving boundaries. From the simulations we are able to demonstrate that such formulation is adequate to capture the Helfrich free energy for an elastic membrane. In the second half I will present how adhesion between two vesicles (enclosed lipid bilayer membranes) affect their hydrodynamics under various flowing conditions. These works are summarized in manuscripts submitted to SIAM Journal of Multiscale modeling and Physical Review Fluids, respectively. 
David Shirokoff 
September 13  Marsha J. Berger, Courant Institute, NYU Progress in Modeling of AsteroidGenerated Tsunamis Could an asteroid that explodes over the ocean generate a tsunami threatening coastal populations far away? We show simulations of tsunami propagation from asteroidgenerated airbursts. We then present a 1D model with an explicit solution to understand the unexpected results. The model is then extended to explore the effects of dispersion and compressibility. We end with a discussion of appropriate tools to study the more serious case of an asteroid that impacts the water. 
Christina Frederick 
September 20  Sean Lawley, University of Utah New Questions in Diffusion Theory Prompted by Biology 
James Maclaurin 
September 27  Andrej Košmrlj, Princeton University Phase Separation in Multicomponent Liquid Mixtures Multicomponent systems are ubiquitous in nature and industry. While the physics of binary and ternary liquid mixtures is wellunderstood, the thermodynamic and kinetic properties of Ncomponent mixtures with N>3 have remained relatively unexplored. Inspired by recent examples of intracellular phase separation, which have important cellular functions, we investigate equilibrium phase behavior and morphology of Ncomponent liquid mixtures within the FloryHuggins theory of regular solutions. In order to determine the number of coexisting phases and their compositions, we developed a new algorithm for constructing complete phase diagrams, based on numerical convexification of the discretized free energy landscape. Together with a CahnHilliard approach for kinetics, we employ this method to study mixtures with N=4 and 5 components. In this talk I will discuss both the coarsening behavior of such systems, as well as the resulting morphologies in 3D. The topology of phase separated mixtures can be described in terms of graphs, which enabled us to reverse engineer the interaction parameters of components in order to obtain all topologically distinct morphologies and to achieve a range of desired packing structures, such as nested "Russian dolls" and encapsulated emulsions droplets. 
Enkeleida Lushi 
October 4  Tamer Zaki, Johns Hopkins University
Title and abstract TBA. 
YuanNan Young 
October 11  TBA


October 18  Ian Tice, Carnegie Mellon University Title and abstract TBA. 
Michael Siegel 
October 25  TBA


November 1 
Title and Abstract TBA

Denis Blackmore 
November 8  Rachel Ward, ICES, University of Texas (Austin) Title and abstract TBA.  Christina Frederick 
November 15  Antoine Cerfon, Courant Institute, NYU Title and abstract TBA. 
Travis Askham 
November 22  TBA


November 29  No Colloquium  Thanksgiving Break


December 6  David Bader, NJIT On Twitter Title and abstract TBA. 
Michael Siegel 
Updated: September 9, 2019