一类非线性边值问题激波位置的变动

THE SHIFT OF SHOCK LOCATION FOR A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS

在适当的条件下,利用奇摄动理论和引入调节函数的技巧讨论了一类非线性问题的激波位置．探讨了边界条件对于激波位置的影响．得出了当边界条件有微小变动时,激波位置将产生较大的变化,甚至改变激波位置的内部层或边界层属性．

Under the appropriate conditions the shift of shock location tor a crass o~ nonlinear problems is considered by using the singularly perturbed theory and by introducing the technique of adjustment function. The influence of the boundary conditions on the shock locations is discussed. It is shown that a small change of the boundary conditions may lead to a big chang of the shoch location, even to the change of properties of the internal layer or boundary layer.