Our subject spans a huge range, from proving theorems to making policy. Over the course of 2011-12, we will try to represent the diverse interests of our community in a series of workshops. In addition, we will have a working group on nonlinear problems, meeting every Thursday in Room 5417 at 2 PM during the term. A seminar series also takes place in Room 3209 on Fridays from 4 PM to 5 PM (see below for featured talks this fall).
All workshops will be held in the Science Center, Room 4102. Events are open to the scientific community, but we ask that you email its@gc.cuny.edu to register, so that we can provide the right amount of food and coffee (!).
Some funds are available to facilitate the participation of students and postdoctoral fellows from around the New York metropolitan area. Please email its@gc.cuny.edu if you would like to take advantage of this opportunity. SPRING 2013 Thursday, 25 April, 2013, 9:00 AM 'til 3:00 PM Topics in Numerical Analysis TBA Thursday, 02 May, 2013, 9:00 AM 'til 5:00 PM Finite-time blow-up vs. global regularity for equations of fluid motion 9.30-10.00 AM: Bagels & Coffee 10.00-10.55 AM: Alexis Vasseur (U of Texas - Austin) "Relative entropy applied to the stability of shocks for compressible fluids, and applications to asymptotic analysis" 11.00-11.55 AM: Maria Schonbek (U of California - Santa Cruz) "Asymptotic stability of mild solutions to the Navier-Stokes equations" 12.00-12.55 PM: Isabelle Gallagher (Université Paris - Diderot) "Profile decompositions and the Navier-Stokes equations" 1.00-2.00 PM: Lunch 2.00-2.55: Pierre Germain (Courant Institute NYU) "Water waves and time-space resonances" 3.00-3.55: Edriss S. Titi (Weizmann Institute) "Global well-posedness of an inviscid three-dimensional Pseudo-Hasegawa-Mima-Charney-Obukhov Model" 4.00-4.55 Peter Constantin (Princeton) "Long-time behavior in forced critical Surface Quasi-Geostrophic Equation (SQG)" ARCHIVE OF PREVIOUS SYMPOSIA SPRING 2013 Thursday, 28 February, 2013, 9:00 AM 'til 3:00 PM Perspective of the Ricci flow Problems in combinatorial and numerical Ricci flow David Glickenstein, University of Arizona Type II singularities of Ricci flow Dan Knopf, University of Texas at Austin Kahler-Ricci flow and birational surgery Jian Song, Rutgers University Ioana Suvaina, Vanderbilt University Thursday, 14 March, 2013, 9:00 AM 'til 3:00 PM Pi-Day with Chern-Simons Theory Asymptotic behavior of solutions to the sigma_k-Yamabe equation near isolated singularities Zheng-Chao Han, Rutgers University Uniqueness of topological solutions for a Chern-Simons model with two Higgs fields and two Gauge fields on a Torus Jyotshana Prajapat, Petroleum Institute, Abu-Dhabi Vortices in the Maxwell-Chern-Simons-Higgs Equations Daniel Spirn, University of Minnessota TBA Gabriella Tarantello, University of Rome II FALL 2012 Thursday, 6 December, 2012, 9:00 AM 'til 3:00 PM Almost complex surfaces in the product of two 3-spheres John Bolton, Durham University, UK A Harmonic Map Problem with Partial Free Boundary conditions. Fang-Hua Lin, Courant Institute (NYU), New-York The analysis if conformal-minimal surfaces Tristan Riviere, ETH, Switzerland Harmonic maps into exceptional symmetric spaces John C. Wood, University of Leeds, UK Thursday, 8 November, 2012, 9:00 AM 'til 3:00 PM Recent Progress in General Relativity The Geometry of Statics Spacetimes Carla Cederbaum, Duke University An isoperimetric concept for quasilocal mass Gerhard Huisken, Max-Planck Institute for Gravitational Physics, Potsdam TBA Shadi Tahvildar-Zadeh, Rutgers University Sharp Minkowski type inequality in the AdS-Schwarzschild space and the Penrose inequality for collapsing shells Mu-Tao Wang, Columbia University, New-York SPRING 2011 Thursday, 26 April, 2012, 9:00 AM 'til 6:00 PM Hyperbolic conservation laws and applications Nash equilibria for traffic flow on networks Alberto Bressan, Penn State University TVD fields for pairs of conservation laws and the p-system Kris Jenssen, Penn State University Using geometric singular perturbation theory to understand singular shocks Barbara Lee Keyfitz, The Ohio State University Existence results for the Euler equations of compressible fluids in one space dimension Philippe G. LeFloch, Universite Paris VI ( A partial hodograph transform at a sonic curve for the Euler system Yuxi Zheng, Yeshiva University Thursday, 22 March, 2012, 9:00 AM 'til 4:00 PM Aggregation models in biology Blowup in multidimensional aggregation equations José Antonio Carrillo de la Plata, Universitat Autònoma de Barcelona Nonlocal equations Peter Constantin, Princeton University Dispersal in Heterogeneous Landscapes Yuan Lou, Ohio State University Measured valued solutions for the Keller-Segel system Juan J.L. Velázquez, Hausdorff Center for Mathematics, Bonn Thursday, 23 February, 2012, 9:00 AM 'til 4:00 PM Recent developments in minimal surfaces Constant mean curvature spheres in homogeneous three dimensional manifolds William Meeks, University of Massachusetts Dynamics and singularities of mean curvature flow William Minicozzi, Johns Hopkins UniversityMaximal surfaces in the anti-de Sitter space and the universal Teichmüller space Jean-Marc Schlenker, Universite Toulouse III Michael Wolf, Rice University Thursday, 27 October, 2011, 9:00 AM 'til 3:00 PM Recent advances in 3D Euler and Navier-Stokes equations The interplay between computation and analysis in the study of 3D incompressible flows Tom Hou, California Institute of Technology An alternative approach to regularity for the Navier-Stokes equations in critical spaces Gabriel Koch, University of Sussex Inviscid limit of the free boundary Navier-Stokes system Nader Masmoudi, Courant Institute NYU Drift diffusion equations with fractional diffusion and the surface quasi-geostrophic equation Alexis Vasseur, University of Texas at Austin Thursday, 22 September, 2011, 9:00 AM 'til 3:00 PM Recent trends in nonlinear PDEs Saddle-shaped solutions to the scalar Ginzburg-Landau equations Xavier Cabre, ICREA & Universitat Politecnica de Catalunya Uniqueness and nondegeneracy of ground states for non-local equations in dimension one Rupert Franck, Princeton University Entire solutions of the Allen-Cahn equation Changfeng Gui, University of Connecticut An optimal partition problem for the Dirichlet eigenvalues Fang-Hua Lin, Courant Institute NYU Thursday, March 31, 2011, 9:00 AM 'til 4:00 PM Vortex dynamics & non-Equilibrium statistical mechanics Speakers: Michael Kiessling (Rutgers University), David Dritschel (Univ. St. Andrews), Jeffrey Weiss (Univ. Colorado) ARCHIVE OF PREVIOUS SEMINARS Spring 2011: Feb 17: Xing Zhong (New Jersey Institute Technology, New Jersey) Threshold Phenomena for Symmetric Decreasing Solutions of Reaction-Diffusion Equations Abstract: We study the Cauchy problem for nonlinear reaction-diffusion equation (u_t = u_xx + f(u), u(x,0) = \phi (x), x \in R, t > 0), with different nonlinearities. By using energy functional and exponentially weighted functional, for symmetric decreasing initial conditions, we prove one-to-one relation between long time behavior of solution and limit value of energy. Then we study the threshold phenomena. This is a joint work with Cyrill Muratov. Network Formation and Ion Conduction in Ionomer Membranes Abstract: Many important processes in the physical world can be described as a gradient (overdamped) flow of a variational energy. We present a broad formalism for the generation of new classes of higher-order variational energies with a physically motivated structure. In particular we reformulate the Cahn-Hilliard energy, which is well know to describe the surface area of mixtures, into a higher-order model of interfacial energy for mixtures of charged polymers (ionomers) with solvent. These materials are important as selectively conductive membrane separators in a wide variety of energy conversion devices, including polymer electrolyte membrane fuel cells, Lithium ion batteries, and dye sensitized solar cells. Our reformulated energy, called the Functionalized Cahn-Hilliard (FCH) energy, captures elastrostatic interactions between the charged groups and the complex entropic effects generated by solvent-ion interactions, and allows us to unfold the bilayer and pore networks formed by the solvent phase imbibed into the polymer matrix. We discuss sharp interface reductions of the FCH energy, its gradient flows, and sharp interface reductions of the gradient flows that give rise to higher-order curvature driven flows. We also describe extensions to models that couple to ionic transport and as well as to multiphase models suitable to describe a wide range of membrane casting processes. Fall 2011: Undercompressible shocks and moving phase boundaries Philippe LeFloch, Universite Paris VI - Pierre et Marie Curie Complex (wormlike micellar) fluids: Shear banding and inertial effects Pam Cook, University of Delaware (with Lin Zhou, New York City College of Technology and Gareth McKinley, Massachusetts Institute of Technology) |