摘要： We extend Glimm's method for conservation laws to a larger class of sources so that it can be applied to the compressible Euler equations in transonic flow. Our approximate solutions to the Cauchy problem are constructed by combining the Glimm scheme with the splitting algorithm. We study the nonlinear interaction between wave patterns and the perturbations, and establish the stability of our scheme. Therefore, a more general Glimm-type argument is developed. 其他題名： Non 其他題名： Nonlinearity 出版者： IOP Publishing 出版日期： 2013-06-01 出處： Nonlinearity, 2013-06, Vol.26 (6), p.1581-1597 資源來源： Institute of Physics Journals 版權： 2013 IOP Publishing Ltd & London Mathematical Society 識別號： ISSN: 0951-7715 識別號： EISSN: 1361-6544 識別號： DOI: 10.1088/0951-7715/26/6/1581 識別號： CODEN: NONLE5
