Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone
The paper deals with the study of the supersonic conic shock wave problem for the 3-D steady full Euler system when a uniform supersonic incoming flow hits an infinitely long and curved sharp conic body. The authors use the standard theory on the second-order quasilinear hyperbolic equations to show that, unlike the case of the potential equation, due to the essential influence of the rotations for the Euler flow, the global weak solution of the Euler system with one stable supersonic conic shock wave does not exist.
scientific article; zbMATH DE number 6047285
scientific article