数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 51-59.
李玉鉴1, 肖玲2
Li Yujian1, Hsiao Lin2
摘要: This paper investigates the following model equation:
vt-ux=0 ut+p(v)x+Avu=0
where A>0 and p'(v)<0.It proves that the equation admits a unique global discontinuous solution on in t > 0 class of piecewise continuous and piecewise smooth functions with a backward rarefaction wave and a forward shock wave under certain conditions.