On Subsonic and Subsonic-Sonic Flows with General Conservatives Force in Exterior Domains
نویسندگان
چکیده
In this paper, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the exterior domains. The indicate new Bernoulli law naturally. For case, introduce a modified cut-off system depending on which needs varied Bers skill, construct solution by variational formula. Moreover, comparing previous results, our result extends pressure-density relation to case. Afterwards obtain limit taking extract solutions as approximate sequences.
منابع مشابه
Global Subsonic and Subsonic-Sonic Flows through Infinitely Long Axially Symmetric Nozzles
Abstract: In this paper, we establish existence of global subsonic and subsonic-sonic flows through infinitely long axially symmetric nozzles by combining variational method, various elliptic estimates and a compensated compactness method. More precisely, it is shown that there exist global subsonic flows in nozzles for incoming mass flux less than a critical value; moreover, uniformly subsonic...
متن کاملOn Two-Dimensional Sonic-Subsonic Flow
A compensated compactness framework is established for sonic-subsonic approximate solutions to the two-dimensional Euler equations for steady irrotational flows that may contain stagnation points. Only crude estimates are required for establishing compactness. It follows that the set of subsonic irrotational solutions to the Euler equations is compact; thus flows with sonic points over an obsta...
متن کاملOn Multi-Dimensional Sonic-Subsonic Flow
In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional(n ≥ 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H−1 loc (Ω) compactness conditions. As illustration, we show the existence...
متن کاملStability of Subsonic Jet Flows
An overview of recent experimental results on instability and dynamics of jets at low Reynolds numbers is given. Round and plane, macro and micro jets are under the consideration. Basic features of their evolution affected by initial conditions at the nuzzle outlet and environmental perturbations are demonstrated.
متن کاملAeroacoustics of Subsonic Turbulent Shear Flows
The paper I s a revlew of sound generatlon In turbulent shear flows. It emphasizes slmultaneous 0 calculatlon of the turbulent flow along wlth the ' h cr) resulting sound generatlon rather than the alternaI tlve acoustlc analogy approach. The first part of w the paper I s concerned wlth solld surface lnteractlon. The second part concentrates on the sound generated by turbulence Interacting wlth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematicae Applicatae Sinica
سال: 2022
ISSN: ['0168-9673', '1618-3932']
DOI: https://doi.org/10.1007/s10255-023-1034-y