Three-Dimensional Subsonic Flows and Their Boundary Value Problems Extended to Higher Dimensions.

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Abstract:

In this paper, the steady, irrotational, subsonic flow of a gas around a given profile is studied in the case of arbitrary space dimension greater than two. We prove that the solution of this problem exists, is unique, and depends continuously on the incoming flow. This extends the previous results of Bers and of Finn and Gilbarg. Author

Author(s):
Dong, Guang-chang
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0038

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2193
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control
Modernization Areas:
Directed Energy
Communities of Interest:
Air Platforms
Descriptor(s):
*SUBSONIC FLOW, *BOUNDARY LAYER FLOW, SOLUTIONS(GENERAL), BOUNDARY VALUE PROBLEMS, THREE DIMENSIONAL FLOW, INEQUALITIES
Field(s)/Group(s):
Fluid Mechanics
Keyword(s):
Leray Schauder degree, Existence theorems, Uniqueness theorems
Report Date:
1981 Mar 01