The author mainly studies the difference of the weak solutions generated by a wave front tracking algorithm to the steady Euler system and the isothermal Euler system.Under the hypothesis that the initial data are of ...The author mainly studies the difference of the weak solutions generated by a wave front tracking algorithm to the steady Euler system and the isothermal Euler system.Under the hypothesis that the initial data are of sufficiently small total variation,it is proved that the difference between the solutions of the steady Euler system and the system of isothermal supersonic flow can be bounded by the cube of the total variation of the initial perturbation.展开更多
基金supported by the Tianyuan Special Funds of the National Natural Science Foundation of China(No.11226171)the Research Award Fund for Young Teachers in Shanghai Higher Education Institutions(No.shdj008)the Fundamental Research Funds for Shanghai Dianji University(No.11C417)
文摘The author mainly studies the difference of the weak solutions generated by a wave front tracking algorithm to the steady Euler system and the isothermal Euler system.Under the hypothesis that the initial data are of sufficiently small total variation,it is proved that the difference between the solutions of the steady Euler system and the system of isothermal supersonic flow can be bounded by the cube of the total variation of the initial perturbation.