scientific article; zbMATH DE number 778935

zbMath0836.35122MaRDI QIDQ4842023

Paolo Maremonti, Remigio Russo

Publication date: 29 April 1996

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1994_4_21_4_629_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Dirichlet problemStokes systemmaximum modulus theorem

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (6)

Quasi-maximum modulus principle for the Stokes equations ⋮ Asymptotic analysis of the fluid flow with a pressure-dependent viscosity in a system of thin pipes ⋮ A maximum modulus theorem for the Oseen problem ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in exterior domains ⋮ An extremal problem related to the maximum modulus theorem for Stokes functions

Cites Work

• Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Proprietà di alcune classi di funzioni in più variabili
• Teorema del massimo modulo e teorema di esistenza e di unicità per il problema di Dirichlet relativo alle equazioni ellittiche in due variabili
• Il teorema del massimo modulo per l'equazione dell'elastostatica tridimensionale
• Mean value formulas, Weyl's lemma and Liouville theorems for \(\Delta^ 2\) and Stokes' system
• Estimates for solutions of nonstationary Navier-Stokes equations
• Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
• Teorema del massimo modulo e teorema di esistenza per il problema di Dirichlet relativo ai sistemi fortemente ellittici
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Maximum theorems for solutions of higher order elliptic equations
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