Joint ICTP-Rio de Janeiro Webinar on Analysis and PDEs - Certainty vs. Uncertainty
Explore the uncertainty principle in Fourier transforms, from classical results to new territories, with connections to number theory and surprising insights.
Partial Differential Equations - Lecture 28
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
Partial Differential Equations - Lecture 24
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in this comprehensive lecture.
Partial Differential Equations - Lecture 22
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.
Partial Differential Equations - Lecture 21
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 16
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 13
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 8
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
Partial Differential Equations - Lecture 10
Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.
The De Giorgi Conjecture for the Half-Laplacian in Dimension 4 - II
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.
The De Giorgi Conjecture for the Half-Laplacian in Dimension 4 - I
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.
Nonlocal Equations Under Different Perspectives - Lecture 5
Explore advanced nonlocal equations in mathematics, focusing on applications in geometry, physics, and probability theory with expert insights from E. Valdinoci.
Nonlocal Equations Under Different Perspectives - Lecture 4
Explore advanced nonlocal partial differential equations and their applications in geometry, physics, and probability with expert Valdinoci from the University of Melbourne.
Fractional Poincare Inequalities on Manifolds With Finite Total Q-Curvature
Explore fractional Poincare inequalities on manifolds, focusing on finite total Q-curvature. Advanced mathematical concepts for geometry and physics enthusiasts.
Nonlocal Equations Under Different Perspectives - Lecture 3
Explore advanced nonlocal equations in mathematics, focusing on applications in geometry, physics, and probability theory with expert insights from E. Valdinoci.
Nonlocal Equations Under Different Perspectives - Lecture 1
Explore nonlocal equations through diverse lenses, gaining insights into their applications in geometry, physics, and probability theory.
Global Regularity of Solutions to the 4-Species Quadratic Diffusion-Reaction System
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.
Construction of Weak Solutions for the Landau Equation by Approximations of Solutions to
Explore the construction of weak solutions for the Landau equation through approximations of Boltzmann equation solutions in grazing collision limit scenarios.
Second Order Conformally Invariant Elliptic Equations - Lecture 4
Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.
Modelling of Disease Spread Through Heterogeneous Population
Explore spatial variability in disease spread using PDEs with state-dependent diffusion. Examine density-dependent infection rates and super-diffusive propagation, with a case study on coronavirus in Nova Scotia.
Adaptive Numerical Solution Methods for PDEs
Explore adaptive methods for PDEs, including error estimation, vertex bisection, and finite element techniques, enhancing numerical solutions for complex mathematical problems.