£60.77

Nuclear Fusion Reactor Mathematics: Theorems, Proofs, and Python Implementations (Computational Mathematics Library)

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Description

A rigorous, mathematics-first reference that unites kinetic theory, MHD, and multiphysics modeling for reactor-grade plasmas. Topics span Vlasov-Maxwell and Landau-Fokker-Planck hierarchies, asymptotic orderings and nondimensionalization, magnetic geometry and flux coordinates in Boozer and Hamada forms, Grad-Shafranov and 3D equilibria, and energy and helicity invariants. Derivations emphasize variational principles, constrained optimization, and well-posed boundary value problems that underpin modern equilibrium and stability analysis. Readers will find a complete treatment of ideal and resistive stability including ballooning, kink, interchange, tearing and reconnection with matched asymptotics, Delta-prime, and the Rutherford equation; neoclassical transport from banana to Pfirsch-Schluter; linear microinstabilities and gyrokinetic theory with Hamiltonian structure and free-energy conservation; nonlinear turbulence and zonal-flow dynamics; wave-plasma interaction with full-wave and ray methods plus quasilinear Fokker-Planck current drive; energetic particle orbits and Alfvenic eigenmodes; burn dynamics and alpha thermalization; edge and sheath physics; neutronics with deterministic and Monte Carlo methods; thermal-hydraulics and thermomechanics; disruption and runaway modeling; coil and quasisymmetry optimization; structure-preserving numerics, adjoint-based sensitivities, and uncertainty quantification. Built for graduate study and research, it features theorem-level statements with proofs where possible, matched-asymptotic constructions, eigenvalue and spectral theory, error estimates, and algorithmic guidance for high performance computation and multiphysics coupling.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
09 November 2025
Listed Since
09 November 2025

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