Explore how to build the Green's function for 2D magnetohydrodynamic waves from linearized Lundquist equations.
This book explains how a plasma, treated as a continuous medium, supports wave motion and how to represent waves emitted from a point source. It shows how to use Fourier transforms and the concept of distributions to handle singular behavior and initial conditions, with careful attention to physical constraints like a divergence-free magnetic field.
- Learn how the fundamental solution is formed from linearized equations and how different wave modes decouple or couple.
- See how distributions and contour methods provide robust ways to treat non-integrable expressions in wave problems.
- Understand the role of initial conditions, boundary considerations, and how to interpret Green’s functions in plasma physics.
- Discover how algebraic and geometric considerations help reveal the structure of the Green’s function and its singularities.
Ideal for readers of mathematical physics and plasma theory who want a rigorous, hands-on approach to wave propagation in magnetized fluids.