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Workshop Recent Results in Nonlinear Elliptic Equations and their Interactions with Geometry
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- Gang Tian: Curvature Estimate for 4-dimensional Einstein Equation.
- Xiu-Xiong Chen: On the Calabi Functional in Kahler Manifold
- Jeff Viaclovsky: Volume Growth, Curvature Decay, and Critical Metrics
- Xavier Cabré: Regularity of Radial Minimizers and Extremal Radial Solutions of Semilinear Elliptic Equations.
- Richard Schoen: Blowup Issues for the Yamabe Equation on High Dimensional Manifolds.
- Simon Brendle: Global Convergence of the Yamabe Flow in Dimension 6 and Higher.
- Olivier Druet: The Prescribed Scalar Curvature Problem.
- Bernd Ammann: The First Dirac Eigenvalue in a Conformal Class.
- Xiaohua Zhu: Kahler-Ricci Flow and Certain Complex Monge-Ampere Equation.
- Gerhard Huisken: Rigidity Inequalities Via Inverse Mean Curvature Flow.
- Jih-Hsin Cheng: The Mean Curvature Equation in Pseudohermitian Geometry.
- Szu-yu Sophie Chen: Boundary Estimates for Some Fully Nonlinear PDEs and Applications to Conformal Geometry.
- Qing Han: Smooth Local Isometric Embedding of Surfaces with Gauss Curvature Changing Sign Monotonically Across a Curve.
- Nassif Ghoussoub: Selfdual Variational Principles for PDEs and Evolution Equations.
- Jie Qing: On Semi-linear Conformally Invariant PDE.
- Joel Spruck: Complete Hypersurfaces of Constant Curvature in Hyperbolic Space with Prescribed Asymptotic Boundary.
- Rafe Mazzeo: Einstein Metrics and Higher Rank Geometry.
- Brian White: Getting a Handle on the Helicord.
- Xu-Jia Wang: Fully Nonlinear Partial Differential Equations and Applications in Geometry.
- Sun-Yung Chang: Conformal Invariants Associated with a Smooth Measure.
- Ashwin Gover: Conformal Laplacian Operators and Q-curvature on Einstein Manifolds.
- Bruno Franchi: Intrinsic Submanifolds of Heisenberg Group.
- Fengbo Hang: On the Higher Order Q Curvature on the Sphere.
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Workshop Analytical and Stochastic Fluid Dynamics
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- Mohammed Ziane: Remarks on the Normal Form of the Navier-Stokes Equations
- Peter Constantin: Nonlinear Fokker-Planck Navier-Stokes Systems
- Edriss Titi: Global Regularity for the Three-dimensional Primitive Equations of Ocean and Atmosphere Dynamics
- Sergej Kuksin: Asymptotic Properties of Some SPDE with Small Dissipation
- Franco Flandoli: Markov Selections and Their Regularity for 3D Stochastic Navier-Stokes Equations.
- Roman Shvydkoy: Spectral Problem for the Euler and Navier-Stokes Equations
- Eric Vanden-Eijnden: Simple Solvable Models with Cascade of Energy and Anomalous Dissipation
- Jonathan Mattingly: Exponential Mixing for the Degenerately Forced Navier Stokes Equations
- Vladimir Sverak: Regularity of L^{3,\infty} Solutions of the Navier-Stokes Equations
- Charles Fefferman: The Surface QG-alpha Equation
- Thomas Hou: The Interplay between Local Geometric Properties and the Global Regularity for 3D Inocompressible Flows.
- Jim Kelliher: Bounded Domain Limit for Navier-Stokes and Euler Equations
- Igor Kukavica: One Direction and One Component Regularity for the Navier-Stokes Equations
- Andrea Bertozzi: Electrowetting in a Hele-Shaw Geometry
- Giovanni Gallavotti: Chaotic Motions and Developed Turbulence: Heuristic Ideas
- Claude Bardos: Analytic Stability and Singularities for Kelvin Helmholtz, Rayleigh Taylor, Problems Comparison with the Stability of Water Waves Problems
- Herbert Koch: Regularity for a Free Boundary Problem and a Conjecture of De Giorgi
- Natasa Pavlovic: Long time Behavior of Solutions to the 3D Navier-Stokes
- Anna Mazzucato: On the Decay of the Energy Spectrum for Weak Solutions to the Navier-Stokes Equations
- Anatoli Babine: Linear Superposition of Nonlinear Waves
- Boris Rozovsky: Passive Scalar Equation in a Turbulent Gaussian Velocity Field
- Alexandre Chorin: Scaling Laws in Turbulence
- Remigijus Mikulevicius: On Stochastic Euler equation
- Xiaoming Wang: The Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments
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Workshop Introductory Workshop in Nonlinear Dispersive Equations
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- Wilhelm Schlag: Nonlinear Dispersive Equations-Lecture I
- Hart Smith: Wave Packet Methods for Hyperbolic Equations I
- Jean Bourgain: Normal Forms in NLS
- Gustavo Ponce: Nonlinear Dispersive Equations-Talk
- Wilhelm Schlag: Nonlinear Dispersive Equations-Lecture II
- Hart Smith: Wave Packet Methods for Hyperbolic Equations II
- Kenji Nakanishi: Nonlinear Dispersive Equations-Talk
- Joachim Krieger: Non-Generic Blow Up Solutions for the Critical Focusing NLS in1-d
- Claude Zuily: Strichartz Estimates for the Schrodinger Equation with Variable Coefficients
- Hart Smith: Wave Packet Methods for Hyperbolic Equations III
- Ioan Bejenaru: Nonlinear Dispersive Equations-Talk
- Michael Christ: Existence and Nonuniqueness for the Nonlinear Schrodinger Equation
- Jean-Yves Chemin: Dispersive Effects in High Rotating Fluids
- Wilhelm Schlag: Nonlinear Dispersive Equations-Lecture III
- Justin Holmer: Nonlinear Dispersive Equations-Talk
- Yoshio Tsutsumi: Well-Posedness of the Cauchy Problem for the mKdv Equation
- Jeremie Szeftel: Long-Time Existence for Semilinear Klein-Gordon Equations on Compact Manifolds
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Workshop Introductory Workshop in Nonlinear Elliptic Equations and Its Applications
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- Luis Caffarelli: Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, I
- Matthew Gursky: Some Fully Nonlinear Equations in Geometry, I
- Patricia Bauman: Nonlinear PDE Methods for Analysis of Phase Transitions in Superconducting and Liquid Crystals
- Andras Domokos: Regularity of Quasilinear Subelliptic Equations
- Yu Yuan: Resolving the Singularities of Minimal Hopf Cones
- Luis Caffarelli: Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, II
- Matthew Gursky: Some Fully Nonlinear Equations in Geometry, II
- Diego Maldonado: On the Regularity of Solutions to the Monge-Ampere Equation and its Linearization
- Nikolai Krylov: Numerical Approximation for Fully Nonlinear Degenerate Equations
- Luis Caffarelli: Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, III
- Matthew Gursky: Some Fully Nonlinear Equations in Geometry, III
- Fang-Hua Lin: Nonliner Elliptical Equation and Its Application Lecture
- David Hartenstine: A General Perron Method and Application
- Nikolai Krylov: Numerical Approximation for Fully Nonlinear Degenerate Equations-II
- Luis Caffarelli: Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, IV
- Matthew Gursky: Some Fully Nonlinear Equations in Geometry, IV
- Maria del Mar Gonzalez: Construction of Singular Solutions for a Fully Non-linear Equation in Conformal Geometry
- Emmanuel Hebey: Fourth Order PDEs of Critical Growth
- Nikolai Krylov: Numerical Approximation for Fully Nonlinear Degenerate Equations, III
- Luis Caffarelli: Basic Tools for the Regularity Theory of Nonlinear Elliptic Equations, V
- Matthew Gursky: Some Fully Nonlinear Equations in Geometry, V
- Yanyan Li: Some Liouville Type Theorems
- Peng-Fei Guan: A Constant Rank Theorem of Convex Solutions of Fully Nonlinear Equations
- Robert McCann: Second-order Asymptotics for Fast Nonlinear Diffusions
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Workshop MSRI Workshop for Women in Mathematics: An Introduction to Elliptic Partial Differential Equations
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- Lawrence Evans: Women in Mathematics: An Introduction to the Elliptic Partial Differential Equations-I
- Sun-Yung Chang: Women in Mathematics: Elliptic PDE Problems in Geometry-I
- Women in Mathematics: An Introduction to the Elliptic Partial Differential Equations-II
- Sun-Yung Chang: Women in Mathematics: Elliptic PDE Problems in Geometry-II
- Jean Steiner: On Geometric Spectral Invariant: The "Trace" of Laplace Inverse.
- Shirley Yap: Prescribing Curvature Forms
- Melkana Brakalova: On the Beltrami Equation and $$\mu$$-Homeomorphisms
- Partial Regulation For Elliptic Systems.
- Katya Krupchyk: The Shapiro-Lopatinskij Condition for Elliptic Boundary Value Problems.
- Cristina Popovici: Coupled Singular Perturbations for Phase Transitions
- Sun-Yung Chang: Women in Mathematics: Elliptic PDE Problems in Geometry-III