Numerical Solvers for Viscous Contact Problems in Glaciology
Explore numerical solvers for viscous contact problems in glaciology, focusing on ice flow modeling, subglacial cavities, and marine ice sheet dynamics. Overcome computational challenges in Stokes equations.
Regularity of Free Boundaries in Obstacle Problems - Lecture III
Explore free boundary problems in PDE, focusing on regularity of solutions and interfaces. Learn about Stefan and obstacle problems, key results, and current research challenges.
Regularity of Free Boundaries in Obstacle Problems Lecture I
Explore regularity of free boundaries in obstacle problems, covering key concepts, proofs, and current research in this mathematical field of PDE and Geometric Measure Theory.
Regularity of Free Boundaries in Obstacle Problems - Lecture IV
Explore advanced concepts in free boundary problems, focusing on regularity in obstacle problems. Learn key results, current research, and open challenges in this mathematical field.
Regularity of Free Boundaries in Obstacle Problems - Lecture II
Explore free boundary problems in PDE, focusing on regularity in obstacle problems. Learn key results, current research, and open questions in this mathematical field.
Characterization of Free Boundary CMC Surfaces in the Ball
Exploration of compact stable CMC surfaces with free boundary in convex domains, focusing on classification in the unit Euclidean three-ball and characterization of equatorial disk and critical catenoid.
Edgard Pimentel - Regularity Theory for Nonlinear PDEs
Explore recent developments in regularity theory for nonlinear PDEs, covering compactness, stability, and scaling arguments. Learn about fully nonlinear PDEs, Isaacs equation, and free boundary problems.
Henrik Shahgholian - Free Boundaries on Lattice, and Their Scaling Limits
Explore lattice-based potential theory, examining harmonic functions and free boundary problems. Discover intriguing numerical results and their implications for facet formation in scaling limits.
Analysis Seminar - Up to the Boundary Gradient Estimates in Bernoulli Type Free Boundary Problems
Explore recent advances in gradient estimates for viscosity solutions of free boundary problems, featuring new Inhomogeneous Pucci Barriers and innovative proof techniques inspired by Harmonic Analysis.
Boundary Problems for Incompressible Fluids by Senjo Shimizu
Exploration of free boundary problems in incompressible fluid dynamics, discussing mathematical approaches and recent developments in this complex area of fluid mechanics.
Generic Regularity in Obstacle Problems - SIAM PDE Seminar
Explore the generic regularity in obstacle problems with Alessio Figalli. Learn about recent advancements in understanding singular sets and their codimension within free boundaries in elastic membrane equilibrium.
Multiphase Models of Living Tissues and the Hele-Shaw Limit
Explore multiphase models of living tissues, focusing on mechanical modeling for tissue repair and tumor growth. Discover mathematical analysis techniques and incompressible limit cases in this advanced PDE seminar.
Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 3
Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.
Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 4
Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame, delving into advanced analytical techniques and applications.
Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 1
Explore mathematical models for living tissues and free boundary problems with Professor Perthame, delving into advanced analysis techniques and applications in biological systems.
Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 2
Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.
A Problem of Free Boundary Type for Caloric Measure
Explore a free boundary problem for caloric measure in this advanced mathematical talk by Steve Hofmann, delving into harmonic analysis and partial differential equations.
What Makes a Surface "Optimal" - Rothschild Lecture
Explore the concept of optimal surfaces in mathematics, examining stability, regularity, and propagation properties across various applications like minimal surfaces and game theory.
The Multiple Membrane Problem
Explore the N-membranes problem in mathematics, focusing on equilibrium positions of ordered elastic membranes and their free boundary regularity.
An Overdetermined Eigenvalue Problem and the Critical Catenoid Conjecture
Explore an overdetermined eigenvalue problem on the two-sphere and its implications for characterizing the critical catenoid as a unique embedded free boundary minimal annulus.
Harmonic Maps with Free Boundary: Regularity, Singularity Formation and Geometric Applications
Explore harmonic maps with free boundary, covering existence, regularity, and parabolic blow-up. Examine elliptic and parabolic problems, recent advances in regularity theory, and geometric applications to the Steklov problem.