A class of combustion problem with shock layers is considered.A modified perturbation method is presented.Using this simple and valid technique,we construct the boundary and the shock layers solution to the problem,an...A class of combustion problem with shock layers is considered.A modified perturbation method is presented.Using this simple and valid technique,we construct the boundary and the shock layers solution to the problem,and the asymptotic behavior of the solution is discussed.The modifying perturbation method is shown to be a valid method.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11071205)the Natural Science Foundation of the Education Bureau of Anhui Province,China(Grant No.KJ2011A135)+2 种基金the Natural Science Foundation of Zhejiang Province, China(Grant No.Y6110502)the Natural Science Foundation of Jiangsu Province,China(Grant No.BK2011042)and the Foundation of the Education Department of Fujian Province,China(Grant No.JA10288)
文摘A class of combustion problem with shock layers is considered.A modified perturbation method is presented.Using this simple and valid technique,we construct the boundary and the shock layers solution to the problem,and the asymptotic behavior of the solution is discussed.The modifying perturbation method is shown to be a valid method.