Existence and uniqueness of stationary solutions for a viscous compressible heat-conducting fluid with large potential and small nonpotential external forces

DOI10.1007/BF00971405zbMath0808.76083MaRDI QIDQ1335940

Mariarosaria Padula, Antonin Novotny

Publication date: 8 November 1994

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theoremperturbationsapproximationsnonlinear operatorglobal estimatesestimates near boundary

Mathematics Subject Classification ID

Related Items (8)

Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations ⋮ On steady compressible Navier-Stokes equations in plane domains with corners ⋮ Schauder estimates for steady compressible Navier-Stokes equations in bounded domains ⋮ Existence and exponential growth of global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domains ⋮ Drag minimization for the obstacle in compressible flow using shape derivatives and finite volumes ⋮ Unnamed Item ⋮ Shape Sensitivity Analysis for Compressible Navier-Stokes Equations ⋮ On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe

Cites Work

• Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case
• 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
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Symmetric positive linear differential equations
• Stationary Solutions of Compressible Navier–Stokes Equations with Slip Boundary Conditions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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