Lectures related to Heat kernel

Explores the maximum principle in the context of the heat equation and the concept of the cylinder.

Covers the application of separation of variables method to solve the heat equation.

Covers the Fourier law, heat equation, Righi-Leduc effect, and related experiments.

Covers free propagation and the heat equation solution, discussing momentum preservation and Fourier multipliers.

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

Explores the application of Fourier transform to PDEs and boundary conditions.

Explores automorphic kernels and their role in solving the heat equation.

Explores the heat equation solutions using Fourier series and energy conservation.

Explores finite element discretization of the heat equation and its verification process.

Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.

Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.

Explores the heat equation, equilibrium equations, heat flux, and harmonic functions in heat distribution.

Covers the heat equation for diffusion and conservation of thermal energy.

Explores optimal transport theory with a focus on heat equations and Wasserstein distance.

Explores the heat equation core, solutions, and diffusion behavior over time.

Covers the modeling of the heat equation using Laplacian operator and Riemann varieties.

Covers thermal and atomic diffusion, including heat equation, activation energy, and diffusion coefficient.

Explores steady-state and transient thermal analysis of silicon beams, including convection effects and practical exercises.

Explores thermal and mechanical problems in thermo-mechanics, covering the heat equation, total strain, and stress analysis modeling.