The monotonicity properties of the solutions of first-order elliptic systems and their applications to the equations of fluid and gas mechanics

DOI10.1016/0021-8928(95)00085-2zbMath0890.76013OpenAlexW1965859761MaRDI QIDQ1370047

A. I. Rylov

Publication date: 4 November 1997

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00085-2

zbMATH Keywords

axisymmetric and plane flows of incompressible fluid and gasextremal properties of solutionshomogeneous quasilinear elliptic system of two equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Elliptic equations and elliptic systems (35J99)

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Cites Work

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• On certain properties of a subsonic flow behind a shock wave arising during supersonic flow around bodies of finite thickness
• Monotonicity properties of certain two-dimensional incompressible vortex flows and subsonic gas flows
• On the structure of subsonic flow between an asymmetric body and a detached shock wave
• Investigation of axisymmetric transonic flow by means of a special hodograph plane