Title:  Some progresses on two-dimensional Riemann problems in gas dynamics

Abstract:  Two dimensional Riemann problems for compressible fluid flows assume the simplest piecewise sectorial initial state but provide the most fundamental wave configurations, including the reflection of oblique shocks and vortex-shock interaction etc. In this talk I will show many fascinating pictures, based on 2D Riemann solutions, to disclose the mysteries of compressible fluid world both through analytical tools (in the form of mathematical theorems) and computational techniques (in the form of simulations). The analysis is based on the characteristic decomposition theory we developed recently, while the simulations are obtained using the generalized Riemann problem (GRP) scheme that is equipped with a highly accurate solver in the construction of numerical fluxes by a way of tracking singularities analytically and keeping entropy exactly computed. 

Title:  Smoothness of isometries between subRiemannian manifolds

Abstract:  In a joint work with Enrico Le Donne (Jyvaskyla, Finland), we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.

Title:  Higher-order analogues of the exterior derivative complex

Abstract:  I will discuss some earlier joint work with E. M. Stein concerning div-curl type inequalities for the exterior derivative operator and its adjoint in Euclidean space R^n. I will then present various higher-order generalizations of the notion of exterior derivative, and discuss some recent div-curl type estimates for such operators. Part of this work is joint with A. Raich.

Title:  On a thermodynamically consisted Stefan problem with variable surface energy

Abstract:  Given a filtration of a simplicial complex we can construct a series of invariants called the persistent homology groups of the filtration. In this talk we will give a basic introduction to the theory of persistence and explain how these ideas can be used in data analysis.

Register at: http://craftwriting.as.uky.edu

This one day event will bring to UK brewers and professional writers from the craft beer industry. Craft beer, the annual production of under six million barrels of beer by small breweries, is one of the fastest growing areas of the food industry. According to the Brewers Association, craft beer provides over 108,000 jobs and its retail dollar value in 2012 was estimated at $10.2 billion. In the last twenty years, over 2,000 new breweries have come online, commanding almost 6% of the overall American beer market. These breweries have, in turn, helped revitalize city neighborhoods, generated new jobs in related industries, and played a key role in expanding digital and social media usage.

This event will showcase the professional writing – in print and digital media – that is dominant in the craft beer industry. Writing has played a major role in promoting the business of craft beer. Craft Writing will serve as an event that draws interdisciplinary attention to the ways industry utilizes writing – in various digital forms – to promote, inform, highlight, argue, market, brand, and foster relationships between products, consumers, and other relevant parties.

Featured Speakers:

Stan Hieronymus, author of For The Love of Hops, Brewing with Wheat, and Brew Like a Monk. Blogger at Appellation Beer and For the Love of Hops.

Julie Johnson, Co-owner of All About Beer, former Editor of All Bout Beer. Currently Technical and Contributing Editor.

Teri Fahrendorf, 25-year beer industry veteran, founder of the Pink Boots Society, author of beer related articles, 19 years brewmaster at Steelhead Brewing, Triple Rock Brewing and Golden Gate Brewing, and blogging gypsy “Road Brewer,”

Roger Baylor, owner of New Albanian Brewing, author of The Potable Curmudgeon.

Jeremy Cowan, owner of Shmaltz Brewing, author of Craft Beer Bar Mitzvah.

Mitch Steele, Brewmaster at Stone Brewing, author of IPA: Brewing Techniques, Recipes, and the Evolution of India Pale Ale.

Keynote speaker

Garrett Oliver, Editor of The Oxford Companion to Beer, author of The Brewmaster’s Table, regular contributor to All About Beer. Brewmaster at Brooklyn Brewery