Abstract By the invariant subspace method, the Euler equations for Chaplygin gas are reduced to finite-dimensional dynamical systems of first-order ordinary differential equations. Many interesting exact solutions, including finite-time blowup solution, global solution and time-periodic solution, are obtained. The unusual blowup interfaces of some solutions are described.
ZHU Chun-rong, ZHU Dan-xia, HUANG Shou-jun. Exact solutions and blowup interfaces of Euler equations for Chaplygin gas on invariant subspaces. Applied Mathematics A Journal of Chinese Universities, 2015, 30(3): 271-279.
