Cavity Dynamics and Regularity for Compressible Navier–Stokes Equations

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressibility effects in turbulence (76F50)

Cites Work

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A jump discontinuity of compressible viscous flows grazing a non-convex corner
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
The initial value problem for the equations of motion of viscous and heat-conductive gases
Sommes d'opérateurs linéaires et équations différentielles opérationnelles
Regularity of solutions to the Navier-Stokes equations for compressible barotropic flows on a polygon
Singular behavior of elliptic problems in non Hilbertian Sobolev spaces
Interior jump and piecewise regularity for compressible Stokes equations in the T-shaped cavity domain
For the parabolic Lamé system on polygonal domains: the transport equation
Three-dimensional instabilities in compressible flow over open cavities
Large-eddy simulation of a compressible flow past a deep cavity
On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities
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
Corner Singularity Dynamics and Regularity of Compressible Viscous Navier--Stokes Flows
Interior Jump and Regularity of Compressible Viscous Navier--Stokes Flows Through a Cut
DYNAMICS AND CONTROL OF HIGH-REYNOLDS-NUMBER FLOW OVER OPEN CAVITIES
On the singular points in the laminar two-dimensional near wake flow field
Ordinary Differential Equations

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