Stability of Stationary Solutions of the Multifrequency Radiation Diffusion Equations

Journal Article · Tue Jan 20 00:00:00 EST 2004 · SIAM Journal of Applied Mathematics

DOI:https://doi.org/10.1137/S0036139902407303· OSTI ID:15014445

Hald, O H; Shestakov, A I

A nondimensional model of the multifrequency radiation diffusion equation is derived. A single material, ideal gas, equation of state is assumed. Opacities are proportional to the inverse of the cube of the frequency. Inclusion of stimulated emission implies a Wien spectrum for the radiation source function. It is shown that the solutions are uniformly bounded in time and that stationary solutions are stable. The spatially independent solutions are asymptotically stable, while the spatially dependent solutions of the linearized equations approach zero.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15014445
• Report Number(s): UCRL-JRNL-148079-REV-2; SMJMAP; TRN: US200802%%1232
• Journal Information: SIAM Journal of Applied Mathematics, Vol. 65, Issue 1; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
DIFFUSION EQUATIONS
RADIATION SOURCES
RADIATIONS
STABILITY
STIMULATED EMISSION