Compressible flows of jets and cavities.

H. W. Alt; L. A. Caffarelli; A. Friedman

Compressible flows of jets and cavities.

H. W. Alt, L. A. Caffarelli, A. Friedman

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Abstract

A variational approach to the theory of jets and cavities for compressible fluids is outlined. Existence and uniqueness for axially symmetric jets and existence for axisymmetric cavities of compressible fluids are established. Existence for two dimensional asymmetric jet flows is also established. Two dimensional symmetric flows are obtained as a special case of the axially symmetric problem. Results on cavities when specialized to incompressible fluids, extend work on infinite cavities to the case where the obstacle is not a monotone curve, and provide simpler proofs.

Original language	English
Journal	[No source information available]
State	Published - 1984

Cite this

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title = "Compressible flows of jets and cavities.",

abstract = "A variational approach to the theory of jets and cavities for compressible fluids is outlined. Existence and uniqueness for axially symmetric jets and existence for axisymmetric cavities of compressible fluids are established. Existence for two dimensional asymmetric jet flows is also established. Two dimensional symmetric flows are obtained as a special case of the axially symmetric problem. Results on cavities when specialized to incompressible fluids, extend work on infinite cavities to the case where the obstacle is not a monotone curve, and provide simpler proofs.",

author = "Alt, {H. W.} and Caffarelli, {L. A.} and A. Friedman",

note = "Funding Information: * This work is partially supported by Deutsche Forschungsgemeinschaft, SFB 72 and by National Science Foundation Grants 7406375 A01 and MCS 791 5171. 82",

year = "1984",

language = "English",

journal = "[No source information available]",

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T1 - Compressible flows of jets and cavities.

AU - Alt, H. W.

AU - Caffarelli, L. A.

AU - Friedman, A.

N1 - Funding Information: * This work is partially supported by Deutsche Forschungsgemeinschaft, SFB 72 and by National Science Foundation Grants 7406375 A01 and MCS 791 5171. 82

PY - 1984

Y1 - 1984

N2 - A variational approach to the theory of jets and cavities for compressible fluids is outlined. Existence and uniqueness for axially symmetric jets and existence for axisymmetric cavities of compressible fluids are established. Existence for two dimensional asymmetric jet flows is also established. Two dimensional symmetric flows are obtained as a special case of the axially symmetric problem. Results on cavities when specialized to incompressible fluids, extend work on infinite cavities to the case where the obstacle is not a monotone curve, and provide simpler proofs.

AB - A variational approach to the theory of jets and cavities for compressible fluids is outlined. Existence and uniqueness for axially symmetric jets and existence for axisymmetric cavities of compressible fluids are established. Existence for two dimensional asymmetric jet flows is also established. Two dimensional symmetric flows are obtained as a special case of the axially symmetric problem. Results on cavities when specialized to incompressible fluids, extend work on infinite cavities to the case where the obstacle is not a monotone curve, and provide simpler proofs.

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M3 - Article

AN - SCOPUS:85040896149

JO - [No source information available]

JF - [No source information available]

ER -

Compressible flows of jets and cavities.

Abstract

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