Singularly Perturbed Solution of Non-Fourier Temperature Field with Mixed Boundary Value Dual-Phase Delay with Thermal Conductivity Jumps

Abstract Based on the properties of laminates, a class nonlinear singularly perturbed mixture equations with discontinuous coefficients over bounded domains is constructed by using dual-phase delayed heat conduction model. First, singular perturbation expansion method used, combined corresponding boundary conditions, partial differential equation and Laplace transform are used to obtain external solution, layer, corner layer. Secondly, time-varying temperature field at discontinuity obtained, which leads asymptotic solution. Finally, consistent validity solution obtained through residual estimation.