منابع مشابه
On 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 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 کاملUniqueness and Instability of Subsonic–sonic Potential Flow in a Convergent Approximate Nozzle
We proved uniqueness and instability of the symmetric subsonic– sonic flow solution of the compressible potential flow equation in a surface with convergent areas of cross–sections. Such a surface may be regarded as an approximation of a two–dimensional convergent nozzle in aerodynamics. Mathematically these are uniqueness and nonexistence results of a nonlinear degenerate elliptic equation wit...
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This work focuses on numerically modelling the dynamics of a single phase fluid at varying densities and pressures. We explore the potential of incompressible flow simulation methods in modelling compressible flow, with an eye towards computer animation applications. The methods developed capture the interesting thermodynamic effects of compressible flow, and reduce to the standard Marker and C...
متن کاملGlobal 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...
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ژورنال
عنوان ژورنال: Acta Mathematica Scientia
سال: 2011
ISSN: 0252-9602
DOI: 10.1016/s0252-9602(11)60389-5