Schauder estimates for steady compressible Navier-Stokes equations in bounded domains

zbMath0897.35062MaRDI QIDQ1378840

Patrick Dutto, Antonin Novotny, Jean-Luc Impagliazzo

Publication date: 9 February 1998

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1997__98__125_0

zbMATH Keywords

existencebounded domainssmall external datadecomposition of the kinetic fieldestimates in Hölder classessteady compressible Navier-Stokes equations

Mathematics Subject Classification ID

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

Related Items

Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type

Cites Work

• Existence results in Sobolev spaces for a stationary transport equation
• Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
• An \(L^ p\)-theory for the \(n\)-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
• On the existence of stationary solutions to compressible Navier-Stokes equations
• Existence and uniqueness for viscous steady compressible motions
• Existence and uniqueness of stationary solutions for a viscous compressible heat-conducting fluid with large potential and small nonpotential external forces
• \(L^ p\)-approach to steady flows of viscous compressible fluids in exterior domains
• On some free boundary problems for the Navier-Stokes equations with moving contact points and lines
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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