| Description |
1 online resource |
| Series |
Mathematics Research Developments |
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Mathematics research developments series.
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| Contents |
""JUSTIFICATION OF THE COURANT-FRIEDRICHS CONJECTURE FOR THE PROBLEM ABOUT FLOW AROUND WEDGE""; ""JUSTIFICATION OF THE COURANT-FRIEDRICHS CONJECTURE FOR THE PROBLEM ABOUT FLOW AROUND WEDGE""; ""Library of Congress Cataloging-in-Publication Data""; ""Contents""; ""Preface""; ""Introduction""; ""Chapter 1. Instability of Strong Shock Wave. Case of Small Vertex Angle""; ""1 Preliminaries. Statement of Classical and General-ized Problems. The Main Results""; ""2 Boundary Value Problem for Traces of Solutions"" |
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""3 Partition of Roots for a Polynomial by the Unit Cir-cle. The Cohn Algorithm. Verification of Eq. (2.30)""""4 The Carleman Problem. Finding b Z(Ë? (-), s). Proof of Theorem 1.1""; ""5 Representation of the Boundary Function V (y, t) inthe Cartesian Coordinates and the Asymptotic Be-havior of V (y, t) as t ! 1""; ""Chapter 2. Instability of Strong Shock Wave. General Case""; ""1 Reduction to the Problem in Equations (1.2.34) and(1.2.35) for the Riemann Problem on the Half-Line.Representation of the Trace V (y, t) in the CartesianCoordinates"" |
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""2 Solvability Condition in Equation (1.34) for CartesianCoordinates""""3 Trace Solution of V (y, t) on the Shock Wave with noCompactly Supported Initial Data in R2+. The Lya-punov Instability to Solutions as t ! +1""; ""Chapter 3. Stability of Weak Shock Wave""; ""1 Statement of the Main and Auxiliary Problems. TheMain Results""; ""2 Proof of Theorem 1.1""; ""3 Boundary Values for the Solution to the Problem inEquations (1.16)� (1.20) and Its Derivatives. Asymp-totics""; ""Conclusion""; ""Bibliography""; ""Index"" |
| Summary |
The classical problem about a steady-state supersonic flow of an inviscid non-heat-conductive gas around an infinite plane wedge under the assumption that the angle at the vertex of the wedge is less than some limit value is considered. The gas is supposed to be in the state of thermodynamical equilibrium and admits the existence of a state equation. As is well-known, the problem has two discontinuous solutions, one of which is associated with a strong shock wave (the gas velocity behind the shock wave is less than the sound speed) and the second one corresponds to the weak shock wave (the gas |
| Bibliography |
Includes bibliographical references (pages [141]-147) and index |
| Notes |
Description based on print version record |
| Subject |
Shock waves.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Mechanics -- Solids.
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Shock waves
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| Form |
Electronic book
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| Author |
Blokhin, A. M. (Aleksandr Mikhaĭlovich)
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Tkachev, D. L
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Mishchenko, E. V. (Evgenii︠a︡ Vasilʹevna)
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| LC no. |
2020686945 |
| ISBN |
9781624173776 |
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1624173772 |
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1626181705 |
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9781626181700 |
|
