Lagrangian structure and propagation of singularities in multidimensional compressible flow

DOI10.1007/s00205-007-0099-8zbMath1144.76049OpenAlexW2058529267MaRDI QIDQ930413

David Hoff, Martins Marcelo Dos Santos

Publication date: 30 June 2008

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

Full work available at URL: https://doi.org/10.1007/s00205-007-0099-8

zbMATH Keywords

Navier-Stokes equationsRankine-Hugoniot conditionslocally bi-Hölder homeomorphism

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

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• The global attractor and finite determining modes for the Navier-Stokes equations of compressible flow with singular initial data
• Compact attractors for the Navier-Stokes equations of one-dimensional, compressible flow
• Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

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