On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle

DOI10.1007/BF01766853zbMath0596.35107OpenAlexW1995914739MaRDI QIDQ1078418

Giuseppe Mulone, Franco Salemi

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766853

zbMATH Keywords

Navier-Stokes equationsmixed boundary conditions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30)

Related Items (11)

On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle ⋮ Navier-Stokes equations with Navier boundary condition ⋮ \(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition ⋮ The evolution Navier-Stokes equations in a cube under Navier boundary conditions: rarefaction and uniqueness of global solutions ⋮ Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in L^p‐theory ⋮ Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions ⋮ Existence and uniqueness theorems for a steady thermo-diffusive mixture in a mixed problem ⋮ On the nonlinear stability of a thermo-diffusive fluid mixture in a mixed problem ⋮ Bilinear optimal control problem for the stationary Navier-Stokes equations with variable density and slip boundary condition ⋮ On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method ⋮ A 3D non-stationary Boussinesq system with Navier-slip boundary conditions

Cites Work

• On the stability of viscous fluid motions
• On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle
• Teoremi di tipo locale per il sistema di Navier-Stokes e stabilita delle soluzioni stazionarie
• On a boundary value problem for a stationary system of Navier-Stokes equations
• The Navier-Stokes equations with discontinuous coefficients
• The linearization principle and invariant manifolds for problems of magnetohydrodynamics
• A reformulation of energy stability theory
• A reproductive property of the Navier-Stokes equations
• Sulla stabilita magnetoidrodinamica in media con vari tipi di condizioni al contorno
• Metodi variazionali per la stabilita in media in magnetoidrodinamica
• Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'évolution du type Navier-Stokes
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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• Unnamed Item
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• Unnamed Item
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