Justification of the Courant-Friedrichs Conjecture for the Problem about Flow around a Wedge

Evgeniya Mishchenko (Editor)
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Alexander M. Blokhin
Head of Laboratory, Professor Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Russia

D.L Tkachev

Series: Mathematics Research Developments, Physics Research and Technology
BISAC: MAT000000



Volume 10

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In this book, the authors study the classical problem of a steady-state supersonic flow of an inviscid non-heat-conductive gas around an infinite plane wedge. As is known, if the vertex angle is sufficiently small, then from the theoretical point of view, 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 velocity behind the shock wave is, in general, larger than the sound speed). Justification of the Courant-Friedrichs conjecture at the linear level is discussed. The authors hope that this book will be useful for specialists in gas dynamics and in applied mathematics as well. (Imprint: Nova)

Preface pp.1-2

Introduction pp.3-22

Chapter 1. Presentation of Generalized Solution for the Case of Strong Shock Wave and Small Angle ó. Formulation of Conditions which Guarantee Asymptotical Stability of Solutions.pp.23-84

Chapter 2. Presentation of Generalized Solution for General Case (Strong Shock wave is the Main Solution) and Justification of its Asymptotical Stability. The Case of Noncompactly Supported Initial Data. pp.85-112

Chapter 3. Stability of Classical Solution and its Justification (Weak Shock Wave is the Main Solution).pp.113-138

Conclusion pp.139-140

Bibliography pp.141-148

Index pp.149-150

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