NDLI: Incompressible limit of solutions of multidimensional steady compressible Euler equations

Content Provider	Springer Nature Link
Author	Chen, Gui Qiang G. Xiang, Wei Huang, Feimin Wang, Tian Yi
Copyright Year	2016
Abstract	A compactness framework is formulated for the incompressible limit of approximate solutions with weak uniform bounds with respect to the adiabatic exponent for the steady Euler equations for compressible fluids in any dimension. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass conservation and the vorticity. Another observation is that the incompressibility of the limit for the homentropic Euler flow is directly from the continuity equation, while the incompressibility of the limit for the full Euler flow is from a combination of all the Euler equations. As direct applications of the compactness framework, we establish two incompressible limit theorems for multidimensional steady Euler flows through infinitely long nozzles, which lead to two new existence theorems for the corresponding problems for multidimensional steady incompressible Euler equations.
Ending Page	18
Page Count	18
Starting Page	1
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	3
Volume Number	67
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-05-24
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Strong convergence Systems of mixed type Steady flow Euler equations Theoretical and Applied Mechanics Existence, uniqueness, and regularity theory General aerodynamics and subsonic flows Asymptotic behavior of solutions Compactness framework Conservation laws Multidimensional Mathematical Methods in Physics Homentropic flow Weak solutions Full Euler flow Compressible flow Incompressible limit
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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