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Explores the two-fluid model in plasma physics, focusing on linearization and equilibrium conditions.

Covers linearization and Fourier mode analysis techniques applied to Maxwell and two-fluid equations.

Two-Stream Instability: Kinetic Calculation

Covers the two-stream instability in plasma physics, focusing on kinetic calculations and normal mode analysis.

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Electromagnetic Waves in Plasmas

Covers the behavior of electromagnetic waves in non-magnetized plasmas and the simplification of equations for non-collisional plasmas.

Untitled

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.

Two-Fluid Waves

Explores two-fluid waves in plasma physics, discussing dispersion relations and wave propagation characteristics.

Stability of ODE

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Linear Algebra: Systems and Subspaces

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Structural Mechanics Principles: Equilibrium and Stability

Explores the principles of structural mechanics, including internal loads, equilibrium stability, and the superposition principle.

MHD Model: One-Fluid Variables

Covers the derivation of the one-fluid model for Magneto-hydro dynamics (MHD) by introducing one-fluid variables.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Fluid Dynamics: Equations and State

Explores fluid dynamics concepts like energy argument, momentum balance, and equation of state for perfect fluids.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Linear Algebra: Linear Dependence and Independence

Explores linear dependence and independence of vectors in geometric spaces.

Electrostatic Waves: Magnetic Field Interaction

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

Equilibrium in 3D: System Isolation and Constraints

Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.

Linear Algebra: Matrices and Vector Spaces

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.