A note on the entropy production of the radiative transfer equation

DOI10.1016/S0893-9659(99)00044-0zbMath0939.35035MaRDI QIDQ1808502

Peter Alexander Markowich, Ester Gabetta, Andreas Unterreiter

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

radiative transferJensen-type inequalityconvex Sobolev inequality

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45)

Cites Work

• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• Logarithmic Sobolev Inequalities
• Sur l'inégalité logarithmique de Sobolev
• Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation
• On a hierarchy of macroscopic models for semiconductors
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