Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone
Recently, for the potential equation, a global stable weak solution with only one conic shock wave has been established in some references. However, in contrast to the case of the potential equation, due to the essential influence of the rotations for the Euler flow, in this paper we will show that the global weak solution of the Euler system with one stable supersonic conic shock wave does not exist when a uniform supersonic incoming flow hits an infinitely long and curved sharp conic body.