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Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions
Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.
Lax-Milgram: Variational Problems and Riesz's Theorem
Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.
Recent Advances in the Dimer Model and Its Applications
Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.
Boundary Conditions - 1D Systems
Covers boundary conditions for heat diffusion in 1D systems.
Uniqueness Results for Poisson Equation
Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.
Square Potential Well
Covers the concept of a square potential well and the search for solutions using trigonometric functions.
Linear Statics of Deformable Solids
Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.
Thermal Diffusion: Conservation and Fourier Law
Explains conservation of energy and Fourier's law in thermal diffusion.
Crash Course on Quantum Mechanics
Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.
Structural Mechanics Part 2: FEM & Scaling Laws
Explores Finite Element Modeling in Structural Mechanics, covering convergence, nonlinear displacement, and scaling laws in micro and nanosystems.
