## Mathematical aspects of subsonic and transonic gas dynamics |

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### Contents

INTRODUCTION | 1 |

Mathematical Background of Subsonic Flow Theory | 38 |

Some Problems in Subsonic Flow | 62 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

American Mathematical Society analytic function Applied Mathematics approximation assume boundary conditions boundary value problem bounded Chaplygin Chaplygin equation characteristic coefficients Communications on Pure Compressible Fluid considered constant curve deﬁned deﬁnite density speed relation derivatives Doklady elliptic equation equa equations of mixed existence theorem ﬁnd ﬁrst ﬁxed point ﬂow domain Flow past ﬂuid Frankl free boundaries Gilbarg given Guderley half-plane hodograph equations hodograph plane Holder condition hyperbolic incompressible ﬂow inﬁnity integral equation Lighthill limiting line limiting Mach Mach line mapping maximum principle method minimal surfaces mixed type NACA Technical Note nonlinear obtained Partial Differential Equations particular solutions physical plane potential equation proﬁle pseudoanalytic functions quasiconformal quasilinear result Russian satisﬁes shock singularities solved sonic line stream function stream lines subsonic ﬂow supersonic ﬂow supersonic region symmetric ﬂow theory tion transformation transonic ﬂow past Tricomi equation Tricomi problem Two-Dimensional uniqueness theorem vanishes variables velocity potential wedge