Global continuous sonic-supersonic flows in two-dimensional semi-infinite divergent ducts

DOI10.1007/s00021-021-00601-2zbMath1486.35338OpenAlexW3181179233MaRDI QIDQ2050584

Geng Lai

Publication date: 31 August 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-021-00601-2

zbMATH Keywords

vacuumcharacteristic decompositions2D steady Euler systemhyperbolic degeneracysonic-supersonic flow

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) General aerodynamics and subsonic flows (76G25) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Supersonic flows (76J20) Euler equations (35Q31)

Related Items (2)

Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle ⋮ Sonic-supersonic jet flows from a two-dimensional nozzle

Cites Work

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• The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
• Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
• Semi-hyperbolic patches of solutions to the two-dimensional Euler equations
• Interaction of rarefaction waves and vacuum in a convex duct
• Interaction of rarefaction waves of the two-dimensional self-similar Euler equations
• Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations
• Interaction of rarefaction waves in jet stream
• Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations
• Smooth transonic flows of Meyer type in de laval nozzles
• Two-dimensional pseudosteady flows around a sharp corner
• Regular subsonic-sonic flows in general nozzles
• Sonic-supersonic solutions for the two-dimensional steady full Euler equations
• Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics
• On a degenerate free boundary problem and continuous subsonic-sonic flows in a convergent nozzle
• Global Smooth Supersonic Flows in Infinite Expanding Nozzles
• Optimal Hölder Continuity for a Class of Degenerate Elliptic Problems with an Application to Subsonic-Sonic Flows
• On the non-existence of continuous transonic flows past profiles I
• On the non-existence of continuous transonic flows past profiles II
• Three-Dimensional Global Supersonic Euler Flows in the Infinitely Long Divergent Nozzles
• The interaction of rarefaction waves of the two-dimensional Euler equations
• Interactions of Composite Waves of the Two-Dimensional Full Euler Equations for Van Der Waals Gases
• On an Elliptic Free Boundary Problem and Subsonic Jet Flows for a Given Surrounding Pressure
• Global NonIsentropic Rotational Supersonic Flows in a Semi-Infinite Divergent Duct
• Sonic-supersonic solutions for the steady Euler equations
• Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state
• On Sonic Curves of Smooth Subsonic-Sonic and Transonic Flows

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