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#Free Boundary Problems

Showing: 24 courses
Inside Livermore Lab

Numerical Solvers for Viscous Contact Problems in Glaciology

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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.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture III

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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.
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10 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems Lecture I

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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.
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10 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture IV

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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.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture II

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Explore free boundary problems in PDE, focusing on regularity in obstacle problems. Learn key results, current research, and open questions in this mathematical field.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

Characterization of Free Boundary CMC Surfaces in the Ball

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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.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Edgard Pimentel - Regularity Theory for Nonlinear PDEs

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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.
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16 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Henrik Shahgholian - Free Boundaries on Lattice, and Their Scaling Limits

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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.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
ICTP Mathematics

Analysis Seminar - Up to the Boundary Gradient Estimates in Bernoulli Type Free Boundary Problems

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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.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
International Centre for Theoretical Sciences

Boundary Problems for Incompressible Fluids by Senjo Shimizu

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Exploration of free boundary problems in incompressible fluid dynamics, discussing mathematical approaches and recent developments in this complex area of fluid mechanics.
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1 Lesons
39 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Generic Regularity in Obstacle Problems - SIAM PDE Seminar

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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.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Multiphase Models of Living Tissues and the Hele-Shaw Limit

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 3

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Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 4

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Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame, delving into advanced analytical techniques and applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 1

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Explore mathematical models for living tissues and free boundary problems with Professor Perthame, delving into advanced analysis techniques and applications in biological systems.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Mathematical Analysis of Models for Living Tissues and Free Boundary Problems - Tutorial Part 2

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Explore mathematical models for living tissues and free boundary problems with Professor Benoît Perthame. Gain insights into advanced analytical techniques for biological systems.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

A Problem of Free Boundary Type for Caloric Measure

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Explore a free boundary problem for caloric measure in this advanced mathematical talk by Steve Hofmann, delving into harmonic analysis and partial differential equations.
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1 Lesons
58 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

What Makes a Surface "Optimal" - Rothschild Lecture

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Explore the concept of optimal surfaces in mathematics, examining stability, regularity, and propagation properties across various applications like minimal surfaces and game theory.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Stony Brook Mathematics

The Multiple Membrane Problem

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Explore the N-membranes problem in mathematics, focusing on equilibrium positions of ordered elastic membranes and their free boundary regularity.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

An Overdetermined Eigenvalue Problem and the Critical Catenoid Conjecture

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
BIMSA

Harmonic Maps with Free Boundary: Regularity, Singularity Formation and Geometric Applications

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

A Perturbation and Free Boundary Approach to the Monopolist's Problem

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Explore a mathematical approach to the Monopolist's problem using perturbation theory and free boundary methods, offering insights into economic optimization strategies.
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1 Lesons
41 minutes
On-Demand
Free-Video
Institut Henri Poincaré

On the Incompressible Limit for a Tumour Growth Model Incorporating Convective Effects

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Explore mathematical modeling of tumor growth with convective effects, focusing on the incompressible limit and its connection to free-boundary problems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Reversal in the Stationary Prandtl Equations

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Explore reversal and recirculation in stationary Prandtl equations, examining the Goldstein singularity and analyzing the system as a quasilinear, mixed-type, free-boundary problem.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video