Lectures related to Kinetic Theory: Distribution Function Evolution

Analyzes Coulomb collisions between charged particles and the conservation of energy, momentum, and angular momentum.

Plasma Physics: Impact Ionisation and Random Walk

Explores impact ionisation in plasma physics and the random walk model as a key challenge in understanding plasma confinement.

Kinetic Theory of Plasma: Linearized Vlasov Equations

Explores the kinetic theory of plasma, focusing on linearized Vlasov equations in hot magnetized plasmas and the behavior of plasma particles in phase space.

Random Walk Simulation: Mean Displacement and Diffusion Coefficient

Covers random walk simulation, mean displacement, and diffusion coefficient calculations for weakly ionized particles.

Conservation Laws in Plasma Physics

Covers the conservation laws in plasma physics, highlighting entropy, energy, and momentum conservation.

Laplace Transform: Analytic Continuation

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Analytic Continuation: Residue Theorem

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

MHD Plasma Approximation

Covers the MHD plasma approximation, discussing macroscopic phenomena and phase velocities.

Plasma Instabilities: Case Studies

Analyzes plasma instabilities through case studies, exploring the implications of roots in the complex plane.

Electrostatic Waves: Magnetic Field Interaction

Explores the interaction of electrostatic waves with the magnetic field in plasma physics.

Plasma Waves: Damping and Resonance

Explores plasma waves, emphasizing damping and resonance effects on energy exchange within the system.

Plasma Energy Loss: Impact Parameter and Debye Screening

Covers energy loss in plasma due to impact parameter intervals and Debye screening effects.

Landau Damping in Plasma Physics

Covers the concept of Landau damping in plasma physics, focusing on the interaction between waves and particles.

Plasma Waves: Two-Fluid Model

Explores plasma waves described by the two-fluid model and the behavior of Langmuir waves.

Plasma Physics: Self-consistent Description

Covers the self-consistent description of a plasma and conservation principles.

Plasma Waves: Propagation and Modes

Explores the propagation and modes of plasma waves, including R- and L-waves, Langmuir waves, and Faraday rotation.

Plasma Physics II: Non-linear Plasma Dynamics

Explores non-linear phenomena in plasma physics, focusing on ion acoustic waves and the Korteweg de Vries equation.

Vlasov-Maxwell System: Plasma Waves Analysis

Explores the Vlasov-Maxwell system for analyzing plasma waves in an unmagnetized plasma.

Plasma Waves: Characteristics and Magnetization

Explores plasma wave characteristics in magnetized plasma and discusses Doppler shifted resonances.

Astrophysical Fluids & Plasmas

Explores the composition of the cosmos, dynamics of fluids and plasmas, and conservation equations.