About the solution of the even parity formulation of the transient radiative heat transfer equations

作者：Lopez Pouso Oscar^*; Munoz Sola Rafael

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2010, 104(1): 129-152.

DOI：10.5052/RACSAM.2010.12

• Radiative heat transfer
• even parity formulation
• S(2) approximation
• existence
• uniqueness
• a priori bounds

This paper studies the existence and uniqueness questions, in classical spaces, for a certain system of differential equations. From the physical point of view, the interest of this system lies in that it becomes, for particular choices of its coefficients, the even parity formulation of the S(2) approximation of the transient radiative heat transfer equations in the one-dimensional slab. A priori lower and upper bounds of the solution are obtained as well.

• 出版日期2010