A jump discontinuity of compressible viscous flows grazing a non-convex corner

DOI10.1016/j.matpur.2013.01.007zbMath1284.35296OpenAlexW2030320478MaRDI QIDQ391381

Jae Ryong Kweon

Publication date: 10 January 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2013.01.007

zbMATH Keywords

jump discontinuitycompressible viscous flowgrazing corner

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Boundary value problems for mixed-type systems of PDEs (35M32)

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Cites Work

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• Discontinuous solutions of steady state, viscous compressible Navier- Stokes equations
• Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Transient viscoelastic flows in planar contractions
• Singularities in the density gradient
• A discontinuous solution for an evolution compressible Stokes system in a bounded domain
• Discontinuous Solutions of the Linearized, Steady State, Compressible, Viscous, Navier–Stokes Equations
• An Introduction to Fluid Dynamics
• Regularity of Solutions to the Navier--Stokes System for Compressible Flows on a Polygon
• Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions

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