Interaction of rarefaction waves and vacuum in a convex duct

DOI10.1007/s00205-014-0738-9zbMath1308.35186OpenAlexW1997186431MaRDI QIDQ741590

Shuxing Chen, Aifang Qu

Publication date: 12 September 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-014-0738-9

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Supersonic flows (76J20) Euler equations (35Q31)

Related Items (13)

Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle ⋮ Boundary value problems for the 2D steady relativistic Euler equations with general equation of state ⋮ Global Smooth Supersonic Flows in Infinite Expanding Nozzles ⋮ Supersonic Reacting Jet Flows from a Three-Dimensional Divergent Conical Nozzle ⋮ Three‐dimensional stationary supersonic flows with axial symmetry in relativistic hydrodynamics ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Sonic-supersonic jet flows from a two-dimensional nozzle ⋮ Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle ⋮ Interaction of fan–jump–fan composite waves in a two-dimensional steady jet for van der Waals gases ⋮ Global NonIsentropic Rotational Supersonic Flows in a Semi-Infinite Divergent Duct ⋮ The global supersonic flow with vacuum state in a 2D convex duct ⋮ The expansion of supersonic flows into a vacuum through a convex duct with limited length ⋮ Global continuous sonic-supersonic flows in two-dimensional semi-infinite divergent ducts

Cites Work

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• Interaction of rarefaction waves of the two-dimensional self-similar Euler equations
• Interaction of rarefaction waves in jet stream
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• Vacuum states for compressible flow
• Vacuum states and global stability of rarefaction waves for compressible flow
• Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
• Well-posedness for compressible Euler equations with physical vacuum singularity
• STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS

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