__Participants__

### Invited Speakers:

, Boundary Effect and Turbulence ( Slides ) (Paper )**Claude Bardos**, Laboratoire Jacques Louis Lions University Pierre and Marie Curie, The Explosion Problem with a Flow**Henri Berestycki**, L'École des Hautes Études En Sciences Sociales, TBA**Andrea Bertozzi**, Department of Mathematics, University of California, Los Angeles, Ultimate State of Two-Dimensional Rayleigh-Bénard Convection Between Free-Slip Fixed-Temperature Boundaries**Charlie Doering**, Mathematics, Physics, and Complex Systems, University of Michigan, Maximal Spatial Analyticity Domain for the Navier-Stokes Equations**Ciprian Foias**, Department of Mathematics, Texas A&M University, Well/Ill-Posedness Results for the Magneto-Geostrophic Equations**Susan Friedlander**, Mathematics Department, University of Southern California, Conditional Regularity of Solutions of the Three Dimensional Navier-Stokes Equations and Implications for Intermittency ( Slides )**John D. Gibbon**, Department of Mathematics, Imperial College, London, Momentum Maps, Image Analysis & Solitons**Darryl Holm**, Imperial College London, Nonlocal Maximum Principles for Active Scalars ( Slides )**Alexander Kiselev**, University of Wisconsin, Madison, Modern Ideas in Turbulence Confront Legacy Codes**William Layton**, Mathematics, University of Pittsburgh, Mathematical Strategies for Real Time Filtering of Turbulent Dynamical Systems**Andrew Majda**, Department of Mathematics and Climate, Atmosphere, Ocean Science (CAOS), New York University Courant Institute of Mathematical Sciences,, TBA**Nader Masmoudi**, Courant Institute of Mathematical Sciences, New York University, Regularity Criteria for Inviscid Fluid Dynamics Revisited: A Case Study on an Infinite Domain**Koji Ohkitani**, Department of Applied Mathematics, University of Sheffield, Recent Progress On Boussinesq Systems ( Slides )**Jean-Claude Saut**, Université Paris-Sud et CNRS, Homogenization and Enhancement of the G-Equation in Random Environments**Panagiotis Souganidis**, Department of Mathematics, University of Chicago, On the Long-Time Behavior of Solutions of the 2D Incompressible Euler Equation**Vladimir Šverák**, University of Minnesota, A New Model for Self-Organized Dynamics: From Particle to Hydrodynamic Descriptions**Eitan Tadmor**, Department of Mathematics, University of Maryland, Pattern Formation: The Oscillon Equation**Roger Temam**, Indiana University, Integral Variational Problems ( Slides )**Alexis Vasseur**, University of Texas at Austin, Numerical Approximation of Incompressible Fluids ( Slides )**Noel Walkington**, Department of Mathematical Sciences, Carnegie Mellon University

### Contributed Speakers:

**Uma Balakrishnan,**Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania*, Nanoparticle thermal motion in a Newtonian fluid using fluctuating hydrodynamics*( Slides )**Banu Baydil,**Rensselaer Polytechnic Institute*, Data-driven Multi-scale Modeling of Transport in Meso-scale Oceanic Turbulence***Qingshan Chen,**Department of Scientific Computing, Florida State University*, The well-posedness of a three-dimensional ice sheet model***Alexey Cheskidov,**Department of Math., Stats., and Comp. Sci., University of Illinois at Chicago*, A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov's dissipation range***Kyudong Choi,**Mathematics department, University of Texas at Austin*, Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations*( Slides )**Amanullah Dar,**Department of Mathematics, Brock University St. Catharines, ON Canada*, Moving boundary conservation laws of compressible fluid flow***Radu Dascaliuc,**University of Virginia*, On dissipation anomaly and energy cascade in 3D incompressible flows***Yekaterina Epshteyn,**Department of Mathematics, University of Utah*, On the Stolz-Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows***Jacob Glenn-Levin,**Department of Mathematics, UT-Austin*, Incompressible Boussinesq equations and spaces of borderline Besov type*( Slides )**Wenrui Hao,**Department of Applied and Computational Mathematics and Statistics, University of Notre Dame*, Computing steady-state solutions for a free boundary problem modeling tumor growth by stokes equation***Changbing Hu,**University of Louisville*, Global strong solutions of Navier-Stokes equations with interface boundary in three dimensional thin domains***Mihaela Ignatova,**Department of Mathematics, UC Riverside*, Quantitative unique continuation and complexity of solutions to parabolic equations***Hans Johnston,**Dept. of Math & Stat, UMass Amherst*, Numerical Study of Turbulent Thermal Convection Between Conditions of Constant Temperature and Constant Flux***Igor Kukavica,**University of Southern California*, Applications of Dirichlet quotients in PDEs***Ruediger Landes,**University of Oklahoma*, Supersolutions in the theory of wavefronts.***Adam Larios,**Texas A&M University*, The Voigt Regularization for Inviscid Hydrodynamic Models*( Slides )**Nicholas Leger,**Carnegie Mellon University*, Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws*( Slides )**Milton Lopes Filho,**IMECC-UNICAMP*, Two-dimensional incompressible ideal flow around many small obstacles***Evelyn Lunasin,**University of Michigan*, Global well-posedness for the 2D Boussinesq system without heat diffusion with anisotropic viscosity***Marco Morandotti,**Department of Mathematical Sciences, Carnegie Mellon University*, Self-propulsion in viscous fluids through shape variations*( Slides ) ( Video)**Alexei Novikov,**Penn. State University*, Passive Tracers in a Slowly Decorrelating Random Velocity Field***Bernard Nowakowski,**Institute of Mathematics of the Polish Academy of Science*, Large time existence of strong solutions to MHD equations in cylindrical domains***Eyvindur Ari Palsson,**Department of Mathematics, University of Rochester*, $L^p$ estimates for a singular integral operator motivated by Calderón's second commutator*( Slides )**Nathan Pennington,**Kansas State Math department*, Local and Global solutions to the Lagrangian Averaged Navier-Stokes equation with weak initial data*( Slides )**Tomasz Piasecki,**Polish Academy of Sciences, Institute of Mathematics*, Stationary compressible flow with slip - inflow boundary conditions***Jean-Michel Roquejoffre,**Institut de Mathématiques, Université de Toulouse*, The Logarithmic Shift in Fisher-KPP Equations***Taylan Sengul,**Indiana University Mathematics Department*, Dynamic Transitions of Surface Tension Driven Convection*( Slides )**David Shirokoff,**McGill University, Math Department*, A projectionless approach for the incompressible Navier-Stokes equations***Hoang Tran,**Department of Mathematics, University of Pittsburgh*, Explicitly Uncoupled VMS Stabilization of Fluid Flow***Alexis Vasseur,**University of Texas at Austin*, Integral Variational Problems*( Slides )**Vlad Vicol,**University of Chicago*, On the well-posedness of the Prandtl boundary layer equations*( Slides )**Dmitry Vorotnikov,**Universidade de Coimbra*, Global generalized solutions for Maxwell-alpha and Euler-alpha equations*( Slides )**Xiaojun Wang,**Virginia Tech*, High Weissenberg number limit and boundary layer phenomena in complex fluids***Xiaoming Wang,**Florida State University*, Numerical Schemes that are able to Capture the Climate of Large Chaotic Systems*( Slides )**Stephen Watson,**University of Glasgow School of Mathematics and Statistics*, TBA***Jared Whitehead,**Department of Mathematics, University of Michigan*, Internal heating driven convection at infinite Prandtl number***Emil Wiedemann,**Hausdorff Center for Mathematics, Universität Bonn, Germany*, Weak and measure-valued solutions of the incompressible Euler equations*( Slides )**Jiahong Wu,**Oklahoma State University*, The surface quasi-geostrophic equation and its generalizations*( Slides )**Arghir Zarnescu,**University of Sussex*, Specific tensorial features in the modelling of nematic liquid crystals*

### Poster Presenters:

Global Theory of Aggregation Equations and Patlak-Keller-Segel Models with Nonlinear Diffusion**Jacob Bedrossian**, Courant Institute of Mathematical Sciences, New York University,Front Migration of the Cahn-Hilliard equation with highly disparate diffusion mobility**Shibin Dai**, Department of Mathematics, Michigan State University,Numerical study on the regularity of the Navier-Stokes equations**Mark Dowker**, School of Mathematica ans Statistics, University of Sheffield, UK,Uniform Local Well-Posedness of Liquid Crystal Flow in Three Dimensions**Jay Hineman**, University of Kentucky,Non-conforming h-p Spectral Element Methods for Three Dimensional Ellitpic Problems on Non-smooth Domains using Parallel Computers**Akhlaq Husain**, LNMIIT Jaipur, INDIA,Uncoupling Groundwater-Surface Water Flows using the Crank-Nicolson Leap Frog Method**Michaela Kubacki**, University of Pittsburgh Mathematics Department,Instabilities and Mixing in a Quasi-2D Lorentz-Force Driven Flow**Radford Mitchell**, School of Physics, Georgia Institute of Technology,On The Quasi-Static Approximation in the Stokes-Darcy Model of Groundwater-Surface Water Flows**Marina Moraiti**, Department of Mathematics, University of Pittsburgh,Numerical Investigations of Convection**Benson Muite**, Department of Mathematics, University of Michigan,Mechanism of Autophobing on Liquid Substrates**Ramankur Sharma**, Carnegie Mellon University,Stability of ring patterns arising from 2D particle interactions**Hui Sun**, Mathematics, UCLA,

### Participants:

**Dhanapati Adhikari**, Department of Mathematics, Oklahoma State University**Uma Balakrishnan**, Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania**Joshua Ballew**, AMSC, University of Maryland**Baydil Banu**, Rensselaer Polytechnic Institute**Claude Bardos**, Laboratoire Jacques Louis Lions University Pierre and Marie Curie**Jacob Bedrossian**, Courant Institute of Mathematical Sciences, New York University**Henri Berestycki**, L'École des Hautes Études En Sciences Sociales**Andrea Bertozzi**, Department of Mathematics, University of California, Los Angeles**Animikh Biswas**, Dept. of Mathematics, University of North Carolina-Charlotte**Qingshan Chen**, Department of Scientific Computing, Florida State University**Alexey Cheskidov**, Department of Math., Stats., and Comp. Sci., University of Illinois at Chicago**Kyudong Choi**, Mathematics department, University of Texas at Austin**John Chrispell**, Mathematics Indiana University of Pennsylvania**Shibin Dai**, Department of Mathematics, Michigan State University**Amanullah Dar**, Department of Mathematics, Brock University St. Catharines, ON Canada**Radu Dascaliuc**, University of Virginia**Charlie Doering**, Mathematics, Physics, and Complex Systems, University of Michigan**Mark Dowker**, School of Mathematica ans Statistics, University of Sheffield, UK**Yekaterina Epshteyn**, Department of Mathematics, University of Utah**Aseel Farhat**, University of California, Irvine**Ciprian Foias**, Department of Mathematics, Texas A&M University**Susan Friedlander**, Mathematics Department, University of Southern California**John D. Gibbon**, Department of Mathematics, Imperial College, London**Jacob Glenn-Levin**, Department of Mathematics, UT-Austin**Wenrui Hao**, Department of Applied and Computational Mathematics and Statistics, University of Notre Dame**Jay Hineman**, University of Kentucky**Darryl Holm**, Imperial College London**Changbing Hu**, University of Louisville**Xianpeng Hu**, New York University**Akhlaq Husain**, LNMIIT Jaipur, INDIA**Vandna Husain**, CSJM University Kanpur, INDIA**Mihaela Ifrim**, Department of Mathematics, University of California at Davis**Mihaela Ignatova**, Department of Mathematics, UC Riverside**Philip Isett**, Princeton University**Hans Johnston**, Dept. of Math & Stat, UMass Amherst**Ahmed Kaffel**, ICERM Brown University**Biswajit Karmakar**, National University of Singapore and Forschung Institute Switzerland**Alexander Kiselev**, University of Wisconsin, Madison**Michaela Kubacki**, University of Pittsburgh Mathematics Department**Igor Kukavica**, University of Southern California**Ruediger Landes**, University of Oklahoma**Adam Larios**, Texas A&M University**William Layton**, Mathematics, University of Pittsburgh**Yoonsang Lee**, Mathematics, University of Texas at Austin**Chang Liu**, Department of Mathematics Michigan Technological University**Honghu Liu**, Department of Mathematics, Indiana University**Jing Liu**, Department of Mathematical Sciences, Carnegie Mellon University**Milton Lopes Filho**, IMECC-UNICAMP**Evelyn Lunasin**, University of Michigan**Andrew Majda**, Department of Mathematics and Climate, Atmosphere, Ocean Science (CAOS), New York University Courant Institute of Mathematical Sciences,**Vincent Martinez**, Indiana University-Bloomington**Nader Masmoudi**, Courant Institute of Mathematical Sciences, New York University**Anna L Mazzucato**, Department of Mathematics, Penn State University**Radford Mitchell**, School of Physics, Georgia Institute of Technology**Tetsu Mizumachi**, Kyushu Univeristy**Marina Moraiti**, Department of Mathematics, University of Pittsburgh**Benson Muite**, Department of Mathematics, University of Michigan**Alexei Novikov**, Penn. State University**Bernard Nowakowski**, Institute of Mathematics of the Polish Academy of Science**Koji Ohkitani**, Department of Applied Mathematics, University of Sheffield**Eyvindur Ari Palsson**, Department of Mathematics, University of Rochester**Nathan Pennington**, Kansas State Math department**Tomasz Piasecki**, Polish Academy of Sciences, Institute of Mathematics**Mary Pugh**, Mathematics, University of Toronto**Nancy Rodriguez**, Stanford University**Jean-Michel Roquejoffre**, Institut de Mathématiques, Université de Toulouse**Tural Sadigov**, Indiana University, Mathematics Department**Jean-Claude Saut**, Université Paris-Sud et CNRS**Taylan Sengul**, Indiana University Mathematics Department**Ramankur Sharma**, Carnegie Mellon University**David Shirokoff**, McGill University, Math Department**Panagiotis Souganidis**, Department of Mathematics, University of Chicago**Hui Sun**, Mathematics, UCLA**Myron Sussman**, University of Pittsburgh**Vladimir Šverák**, University of Minnesota**Eitan Tadmor**, Department of Mathematics, University of Maryland**Roger Temam**, Indiana University**Hoang Tran**, Department of Mathematics, University of Pittsburgh**Alexis Vasseur**, University of Texas at Austin**Vlad Vicol**, University of Chicago**Dmitry Vorotnikov**, Universidade de Coimbra**Noel Walkington**, Department of Mathematical Sciences, Carnegie Mellon University**Dehua Wang**, Department of Mathematics, University of Pittsburgh**Shouhong Wang**, Mathematics, Indiana University**Xiaojun Wang**, Virginia Tech**Xiaoming Wang**, Florida State University**Jared Whitehead**, Department of Mathematics, University of Michigan**Emil Wiedemann**, Hausdorff Center for Mathematics, Universität Bonn, Germany**Jiahong Wu**, Oklahoma State University**Arghir Zarnescu**, University of Sussex**Yuxi Zheng**, Department of Mathematical Sciences, Yeshiva University**Andrej Zlatos**, Mathematics, University of Wisconsin