“…Since the nozzles in applications are usually much longer with respect to their cross-sections, and hence the problem is often formulated mathematically as an infinite nozzle problem. Correspondingly, such a multidimensional infinite nozzle problem has extensively been studied experimentally, computationally, and asymptotically (see [12,16,19,27,22,23,41,42,48] and the references cited therein). Mathematically, the existence and stability of steady transonic flows for such nozzles in a multidimensional setup has been opened since then; see [5,12,13,44,48].…”