Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains

From MaRDI portal
Publication:1041134

DOI10.1007/s00205-008-0171-zzbMath1253.76019arXivmath-ph/0602054OpenAlexW2001109811MaRDI QIDQ1041134

Vladimir Gilelevich Maz'ya, Jürgen Rossmann

Publication date: 30 November 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0602054




Related Items (36)

Geometric singularities and regularity of solution of the Stokes system in nonsmooth domainsSingularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatmentsThe qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spacesSobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spacesOn the weak solutions to steady Navier-Stokes equations with mixed boundary conditionsMixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluidRobust output regulation of the linearized Boussinesq equations with boundary control and observationA class of elliptic mixed boundary value problems with \((p, q)\)-Laplacian: existence, comparison and optimal controlNeumann-transmission problems for pseudodifferential Brinkman operators on Lipschitz domains in compact Riemannian manifoldsPermeability estimation of a porous structure in cancer treatment based on sampled velocity measurement*The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMOConvergence of coprime factor perturbations for robust stabilization of Oseen systemsOn the Rayleigh-Bénard-Marangoni system and a related optimal control problemBoundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary ConditionsA class of double phase mixed boundary value problems: existence, convergence and optimal controlA Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problemDifferentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier-Stokes equations with mixed-boundary conditions in a channelTheoretical study of a Bénard-Marangoni problemAsymptotic analysis of double phase mixed boundary value problems with multivalued convection termError analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditionsBoundary characteristic point regularity for Navier-Stokes equations: blow-up scaling and petrovskii-type criterion (a formal approach)Stabilization and Best Actuator Location for the Navier--Stokes EquationsUnnamed ItemStokes flow with kinematic and dynamic boundary conditionsSome properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditionsThe Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flowObserver-based feedback boundary stabilization of the Navier-Stokes equationsBoundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domainsFeedback stabilization of a thermal fluid system with mixed boundary controlHölder Estimates for Green’s Matrix of the Stokes System in Convex PolyhedraSobolev regular solutions for the incompressible Navier-Stokes equations in higher dimensions: asymptotics and representation formulaeEquatorial wave-current interactionsA saddle point approach to an optimal boundary control problem for steady Navier-Stokes equationsThe Green function for the mixed problem for the linear Stokes system in domains in the planeThe Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and RegularityRecent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains



Cites Work


This page was built for publication: Mixed boundary value problems for the stationary Navier-Stokes system in polyhedral domains