epshteyn (at) math.utah.edu)
January 9. Special Applied Math Seminar.
Speaker: Ricardo Alonso, Department of Mathematics, PUC-Rio
January 18 (Wednesday). Special Joint Applied Math and Stochastics Seminar.
Note Time, Wednesday 4pm and Place JWB 335.
Speaker: Yu Gu, Department of Mathematics, Stanford University
Title: Fluctuations in stochastic homogenization -- when is the formal two-scale expansion valid?
Abstract: To analyze multiscale PDEs and investigate their asymptotic behaviors, a formal expansion is usually used to construct correctors and help proving the convergence. It is nevertheless a priori unclear whether those terms appearing in the expansion indeed represent the first and higher order errors. In other words, the expansion sometimes stays only on the formal level. In this talk, we will discuss the classical problem of stochastic homogenization of elliptic operators in divergence form, and identity the first and higher order random fluctuations. It turns out that the formal expansion may or may not indicate the right answer depending on the scales on which we make the measurement.
Part of the talk is based on joint work with J.-C. Mourrat.
January 30. Special Applied Math Seminar.
Speaker: Michele Coti Zelati, Department of Mathematics, University of Maryland College Park
Speaker: Vladimir Druskin, Schlumberger Doll Research
Speaker: Saverio Spagnolie, Department of Mathematics, University of Wisconsin-Madison
Speaker: Dmitriy Leykekhman, Department of Mathematics, University of Connecticut
epshteyn (at) math.utah.edu).
Past lectures: Fall 2016, Spring 2016, Fall 2015, Spring 2015, Fall 2014, Spring 2014, Fall 2013, Spring 2013, Fall 2012, Spring 2012, Fall 2011, Spring 2011, Fall 2010, Spring 2010, Fall 2009, Spring 2009, Fall 2008, Spring 2008, Fall 2007, Spring 2007, Fall 2006, Spring 2006, Fall 2005, Spring 2005, Fall 2004, Spring 2004, Fall 2003, Spring 2003, Fall 2002, Spring 2002, Fall 2001, Spring 2001, Fall 2000, Spring 2000, Fall 1999, Spring 1999, Fall 1998, Spring 1998, Winter 1998, Fall 1997, Spring 1997, Winter 1997, Fall 1996, Spring 1996, Winter 1996, Fall 1995.