Gaseous detonation is one of the classical problems of combustion theory. In the past decade, there has been significant progress in understanding the phenomenon. The problem is, however, far from being completely resolved. We study a model of subsonic detonation that describes propagation of the combustion fronts in highly resistible media [5]. The assumption of high resistance of the medium p...

In this note we show the asymptotic axisymmetry of subsonic traveling waves of finite energy to the Gross-Pitaevskii equation. In particular, using a new Hamiltonian identity, we prove that the momentum in the orthogonal directions must vanish.

The present paper is the first in a series of works devoted to the solvability of the Possio singular integral equation. This equation relates the pressure distribution over a typical section of a slender wing in subsonic compressible air flow to the normal velocity of the points of a wing downwash . In spite of the importance of the Possio equation, the question of the existence of its solutio...

In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles without the assumption of irrotationality. It is shown that when the variation of Bernoulli’s function in the upstream is sufficiently small and mass flux is in a suitable regime with an upper critical value, then there exists a unique global subsonic solution in a suitable class for a ge...