Abstracts

Week on Partial Differential Equations and Geometric Analysis (Oct. 25-29), Workshop on Geometric Probability and Optimal Transportation (Nov. 1-5), and Week on Nonlinear Dynamics and Applications (Nov 8-10).

Luigi Ambrosio Elements of Geometric Measure Theory in Wiener spaces
Daniel Badali Asymptotic behavior of smoothed-shock solutions in coating flows
Jerome Bertrand Wasserstein space over Hadamard space
Marina Chugunova Finite speed propagation of the interface and blow-up solutions for long-wave unstable thin-film equations
Walter Craig On the size of the Navier - Stokes sungular set
Magdalena Czubak Topological defects in the abelian Higgs model.
Philippe Delanoe Remarks on the regularity of optimal transport
Alessio Figalli The geometry of the Ma-Trudinger-Wang condition
Irene M. Gamba Convolution inequalities for Boltzmann collision operators and applications
Wilfrid Gangbo STICKY PARTICLE DYNAMICS WITH INTERACTIONS
Nassif Ghoussoub Homogenization, inverse problems and optimal control via selfdual variational calculus
Nicola Gigli The Heat Flow as Gradient Flow
Dan Ginsberg On Positivity of Steady States of the Thin Films Equation
Tony Gomis Adomian Decomposition Method, Cherruault Transformations, Homotopy Perturbation Method, and Nonlinear Dynamics: Theories and Comparative Applications to Frontier problems.
Tony GOMIS Adomian Decomposition Method, Cherruault Transformations, Homotopy Perturbation Method, and Nonlinear Dynamics: Theories and Comparative Applications to Frontier problems.
Elton P. Hsu Mass Transportation and Optimal Coupling of Brownian Motions
Alfredo Hubard Can you cut a convex body into five convex pieces with the same area and the same perimeter?
Dmitry Jakobson Curvature of Random Metrics
Boris Khesin Optimal transport and geodesics for H1 metrics on diffeomorphism groups
Young-Heon Kim Regularity of optimal transport maps on multiple products of spheres
Jun Kitagawa Regularity for the optimal transport problem with Euclidean distance squared cost on the embedded sphere
Alexander Koldobsky Positive definite functions and stable random vectors
Alexander Kolesnikov Sobolev regularity of optimal transportation
Shaghayegh Kordnoori Central Limit Theorem and geometric probability
Lee, Paul Woon Yin Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian Manifolds
Lee, Woon Yin (Paul) Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds
Joseph Lehec A stochastic formula for the entropy and applications
Jiakun Liu Global regularity of the reflector problem
Xiao Liu NUMERICAL SIMULATION OF RESONANT TUNNELING OF FAST SOLITONS FOR THE NONLINEAR SCHRODINGER EQUATION
Michael Loss Hardy-Littlewood-Sobolev Inequalities via Fast Diffusion Flows
Gabriel Maresch Optimal and Better Transport Plans
Mark Meckes The magnitude of a metric space
Emanuel Milman A generalization of Caffarelli's Contraction Theorem via heat-flow
Amir Moradifam Isolated Singularities of Polyharmonic Inequalities
Frank Morgan Densities from Geometry to Poincaré
Stephen W. Morris Icicles, washboard road and meandering syrup
Brendan Pass The multi-marginal optimal transportation problem.
Alexander Plakhov Optimal mass transportation and billiard scattering by rough bodies
Aldo Pratelli About the approximation of orientation-preserving homeomorphisms via piecewise affine or smooth ones
Marjolaine Puel Jordan-Kinderlehrer-Otto scheme for a relativistic cost.
Emil Saucan Triangulation and discretizations of metric measure spaces
Giuseppe Savaré Evolution variational inequalities and heat flows in metric measure spaces
Mariya Shcherbina Orthogonal and symplectic matrix models: universality and other properties
Israel Michael Sigal Singularity formation under the mean-curvature flow
Gideon Simpson Coherent Structures in the Nonlinear Maxwell Equations
Yi Wang The Aleksandrov-Fenchel inequalities of k+1-convex domains
Micah Warren Parabolic optimal transport equations on compact manifolds.