## The Equations of Radiation HydrodynamicsThis text examines the propagation of thermal radiation through a fluid and its effects on the hydrodynamics of fluid motion. Its detailed discussion, derived from first principles, fully displays all of the equations pertinent to the specialized field of radiation hydrodynamics. Geared toward graduate-level students, it will also benefit researchers engaged in radiative transfer and radiation hydrodynamic work. The first chapter introduces the fundamental concepts required to formulate a kinetic description of electromagnetic energy transport. Chapter II derives in various forms and geometries the equation of transfer containing the basic physics needed for most work in radiation hydrodynamics. Subsequent chapters consider approximate formulations of radiative transfer and the incorporation of additional physical effects--specifically, polarization, refraction, and dispersion--and the relativistic effects of fluid motion. Chapter VII offers a brief introduction to the microscopic physics associated with the equation of transfer, followed by an extensive survey of the description of Compton and inverse Compton scattering as it enters the equation of transfer. The final chapter presents a hydrodynamic description of the fluid, including effects due to the presence of the radiation field. The text concludes with an appendix on the Lorentz transformation of the equation of transfer. |

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absorption coeﬂicient angular arbitrary assumed asymptotic atom axes axis beam of light boundary conditions Cartesian components Chapter consider continuity equation coordinate system corresponding cosine cross section deﬁned by Eq deﬁnition delta function denote depends derivative diﬁerential Dirac delta function discussed divergence eigenfunctions eigenvalues elliptically polarized emission energy density energy equation equation of transfer equations of hydrodynamics Eulerian ﬁnd ﬂuid rest frame ﬂuid velocity free electrons frequency given by Eq gives hence hydrodynamics independent inﬁnite interaction isotropic Lagrangian matrix modiﬁed multigroup nonrelativistic number of photons obtain particle photons physical plane geometry polarized light Pomraning pressure tensor problems quantities quantum radiation ﬁeld radiation hydrodynamic radiative ﬂux radiative transfer relativistic scattering kernel side of Eq simpliﬁes solution spatial speciﬁc intensity spherical coordinate system spherical coordinates spherical harmonic Stokes parameters surface symmetry temperature term in Eq thermodynamic equilibrium Thomson scattering tion unit vector variables volume element