PDE Constrained Measures I
Explore PDE constrained measures with Guido De Philippis in this advanced mathematical lecture, delving into complex analytical concepts and their applications.
Solvability and Ill Posedness of the Isentropic Euler System
Explore puzzling results on solvability and ill-posedness of the isentropic Euler system, including wild solutions, approximation results, and the selection of physically reasonable solutions.
A Geometric View on Stochastic Euler Equations
Explore geometric approaches to stochastic Euler equations, combining infinite-dimensional geometry and stochastic analysis to establish local well-posedness of non-linear PDEs.
Regularization by Noise for the Stochastic Transport Equation
Explore regularization by noise for stochastic transport equations, focusing on uniqueness and regularity of solutions under different drift conditions and the impact of Brownian motion.
Blow-Up Solution for the Energy Critical Heat Equation
Explore classical and recent results on blow-up phenomena in critical Fujita equations, including infinite and finite-time blow-up, and learn about the inner-outer method and its applications.
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.
A Supercritical Elliptic Equation in the Annulus
Explore advanced techniques for solving Sobolev-supercritical elliptic problems, focusing on symmetry and monotonicity properties to overcome compactness issues in mathematical analysis.
Blow Up Solution for the Energy Critical Heat Equation
Explore classical results and recent advancements in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, and the inner-outer method.
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.
Blow Up Solution for the Energy Critical Heat Equation - Lecture II
Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, and the inner-outer method.
Blow Up Solution for the Energy Critical Heat Equation
Explore classical results and recent developments in blow-up phenomena for critical Fujita equations, including infinite and finite-time blow-up, using the inner-outer method.
Regularity of the Boltzmann Equation in Bounded Domains - I
Explore the regularity of the Boltzmann equation in bounded domains, focusing on advanced mathematical concepts and applications in geometry, physics, and probability theory.
Quantization of Measures - A Gradient Flow Approach
Explore gradient flow techniques for measure quantization, examining applications in geometry, physics, and probability theory.
Existence and Regularity Theories of Brakke Flow - Lecture 4
Explore advanced theories of Brakke flow, focusing on existence and regularity aspects in this in-depth lecture by Yoshihiro Tonegawa from Tokyo Institute of Technology.
Dynamics and Symmetry of Ancient Convex Mean Curvature Flows - Lecture 5
Explore dynamics and symmetry of ancient convex mean curvature flows in this advanced mathematics lecture by Sigurd Angenent from the University of Wisconsin-Madison.
Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - Ancient Convex Solutions to MCF
Explore ancient convex solutions to Mean Curvature Flow, examining dynamics, symmetry, and asymmetry in this advanced mathematics lecture by Sigurd Angenent.
Phase-Field Models for Motion by Mean Curvature - Lecture 4
Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.
Motion by Curvature of Networks in the Plane - Lecture 3
Explore advanced concepts in geometric analysis, focusing on motion by curvature of planar networks. Delve into complex mathematical theories and their applications in this specialized lecture.
Monotonicity Formulae and Non-Collapsing Estimates for Mean Curvature Flow with Applications - Lecture 2
Explore monotonicity formulae and non-collapsing estimates in mean curvature flow, with insights on their applications and implications for geometric analysis.
Partial Differential Equations - Lecture 25
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
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.