منابع مشابه
Extensions to the Kompaneets Equation and Sunyaev-Zel’dovich Distortion
Analytical expressions are presented for relativistic corrections to the Kompaneets equation and the Sunyaev-Zel’dovich y-distortion. The latter provides a convenient method of inferring both the temperature and Thomson optical depth of the gas in clusters of galaxies using only observations of the spectrum of CMBR photons passing through the cluster. The relativistic correction gives an additi...
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Context. The cosmic microwave background (CMB) spectrum probes physical processes and astrophysical phenomena occurring at various epochs of the Universe evolution. Current and future CMB absolute temperature experiments are aimed to the discovery of the very small distortions such those associated to the cosmological reionization process or that could be generated by different kinds of earlier...
متن کاملGlobal Dynamics of Bose-Einstein Condensation for a Model of the Kompaneets Equation
The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma. This paper strives to advance our understanding of how this equation captures the phenomenon of Bose-Einstein condensation through the study of a model equation. For this model we prove existence and uniqueness theore...
متن کاملExact Solution of the Kompaneets Equation for Strong Explosion in Medium with Inverse-Square Decreasing Density
In the framework of the Kompaneets approximation the propagation of a shock front (SF) in inhomogeneous medium with the powerlaw density decrease at the exponent n = 2 is investigated. For this important case corresponding to outer regions of the solar and stellar coronas an unexpectedly simple exact solution clearing a structure of the general solution for an arbitrary monotonic density of med...
متن کاملBose-Einstein Condensation in a Hyperbolic Model for the Kompaneets Equation
In low-density or high-temperature plasmas, Compton scattering is the dominant process responsible for energy transport. Kompaneets in 1957 derived a non-linear degenerate parabolic equation for the photon energy distribution. In this paper we consider a simplified model obtained by neglecting diffusion of the photon number density in a particular way. We obtain a non-linear hyperbolic PDE with...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0098