Boundary layer problems for the two-dimensional compressible Navier–Stokes equations

DOI10.1142/S0219530515400011zbMath1333.35194OpenAlexW1914753524MaRDI QIDQ3466799

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Publication date: 25 January 2016

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530515400011

zbMATH Keywords

well-posednesscompressible Navier-Stokes equationsboundary layer

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (11)

Global existence of weak solution to the compressible Prandtl equations ⋮ Uniform regularity estimates and inviscid limit for the compressible non-resistive magnetohydrodynamics system ⋮ Vanishing dissipation limit of solutions to initial boundary value problem for three dimensional incompressible magneto-hydrodynamic equations with transverse magnetic field ⋮ Boundary layer separation for the steady compressible Prandtl equation ⋮ Global existence and decay estimates of solutions for the compressible Prandtl type equations with small analytic data ⋮ Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition ⋮ Separation of the two-dimensional steady MHD boundary layer ⋮ Stability of the Prandtl Boundary Layers ⋮ Local well-posedness of solutions to the boundary layer equations for 2D compressible flow ⋮ Local-in-time well-posedness for compressible MHD boundary layer ⋮ Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow

Cites Work

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• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Well-posedness for the Prandtl system without analyticity or monotonicity
• Remarks on the ill-posedness of the Prandtl equation
• Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods
• Blowup of solutions of the unsteady Prandtl's equation
• Well-posedness of the Prandtl equation in Sobolev spaces

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