Partial Differential Equations Courses and Certifications

ICTP Mathematics

Solving the 4NLS with White Noise Initial Data

Explore white noise initial data in solving 4NLS, covering Hamiltonian PDE, globalization arguments, and limit equations. Gain insights into complex mathematical concepts and proofs.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 1

Explore fundamental concepts and numerical techniques for solving partial differential equations, essential for modeling complex physical phenomena in gravitational-wave astronomy and astrophysics.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 2

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 3

Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Guido De Philippis - PDE Constrained Measures III

Explore advanced concepts in PDE-constrained measures with Guido De Philippis, delving into complex mathematical theories and applications in this advanced lecture.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Frequency Function Methods in PDE I

Explore frequency function methods in partial differential equations, focusing on applications and theoretical foundations for solving complex mathematical problems.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 43 minutes
• On-Demand
• Free Video