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#Nonlocal Partial Differential Equations

Showing: 10 courses
ICTP Mathematics

Entropy Method for Hypocoercive BGK and Fokker-Planck Equations

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Explore entropy methods for hypocoercive equations, focusing on BGK and Fokker-Planck models. Learn about decay rates, auxiliary functionals, and regularization techniques in non-symmetric systems.
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14 Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - I

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Explore the regularity of the Boltzmann equation in bounded domains, focusing on advanced mathematical concepts and applications in geometry, physics, and probability theory.
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1 Lesons
56 minutes
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Free-Video
ICTP Mathematics

Quantization of Measures - A Gradient Flow Approach

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Explore gradient flow techniques for measure quantization, examining applications in geometry, physics, and probability theory.
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1 Lesons
50 minutes
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Free-Video
ICTP Mathematics

The De Giorgi Conjecture for the Half-Laplacian in Dimension 4 - II

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Explore advanced mathematical concepts in nonlocal PDEs, focusing on the De Giorgi conjecture for the half-Laplacian in dimension 4, presented by A. Figalli from ETH Zürich.
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1 Lesons
1 hour 4 minutes
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Free-Video
ICTP Mathematics

The De Giorgi Conjecture for the Half-Laplacian in Dimension 4 - I

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Explore the De Giorgi conjecture for the half-Laplacian in dimension 4, presented by A. Figalli from ETH Zürich. Delve into advanced mathematical concepts in nonlocal partial differential equations and their applications.
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1 Lesons
1 hour 2 minutes
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Free-Video
ICTP Mathematics

Fractional Poincare Inequalities on Manifolds With Finite Total Q-Curvature

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Explore fractional Poincare inequalities on manifolds, focusing on finite total Q-curvature. Advanced mathematical concepts for geometry and physics enthusiasts.
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1 Lesons
1 hour 5 minutes
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Free-Video
ICTP Mathematics

Global Regularity of Solutions to the 4-Species Quadratic Diffusion-Reaction System

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Explore advanced mathematical concepts in nonlocal partial differential equations, focusing on global regularity solutions for a 4-species quadratic diffusion-reaction system across all spatial dimensions.
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1 Lesons
1 hour
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Free-Video
ICTP Mathematics

Construction of Weak Solutions for the Landau Equation by Approximations of Solutions to

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Explore the construction of weak solutions for the Landau equation through approximations of Boltzmann equation solutions in grazing collision limit scenarios.
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1 Lesons
1 hour 9 minutes
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Free-Video
ICTP Mathematics

Regularity of the Boltzmann Equation in Bounded Domains - II

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Explore advanced mathematical concepts in nonlocal PDEs, focusing on the Boltzmann equation's regularity in bounded domains. Gain insights from expert Tonon, D. in this in-depth lecture.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Collisions in Plasmas: The Landau Equation - Part 5

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Explore plasma collisions through the Landau equation, delving into advanced mathematical concepts and their applications in physics and probability theory.
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1 Lesons
54 minutes
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Free-Video