Existence theory for one-dimensional quasilinear coupled conductive–radiative flows

作者:

Highlights:

• We solve the conductive–radiative problem with a temperature dependent on the diffusion coefficient.

• We use techniques of monotonicity in order to yield the solution of the problem.

• We solve the problem with the Green Function Decomposition method.

• We make the existence theory for quasilinear conductive–radiative problem.

摘要

•We solve the conductive–radiative problem with a temperature dependent on the diffusion coefficient.•We use techniques of monotonicity in order to yield the solution of the problem.•We solve the problem with the Green Function Decomposition method.•We make the existence theory for quasilinear conductive–radiative problem.

论文关键词:Existence theory,Second order quasilinear differential equation,Conductive–radiative problem,Numerical simulations

论文评审过程:Available online 4 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.018