Global existence for 3D non-stationary Stokes flows with Coulomb’s type friction boundary conditions

DOI10.1080/00036811.2017.1377833zbMath1391.76091arXiv1607.01592OpenAlexW2963931315WikidataQ58298532 ScholiaQ58298532MaRDI QIDQ4567874

Mahdi Boukrouche, Laetitia Paoli

Publication date: 20 June 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01592

zbMATH Keywords

Coulomb's friction lawTresca's friction lawhistory-dependent boundary conditionetc.) flowsgeneralized dry frictionStokes and related (Oseen

Mathematics Subject Classification ID

Variational inequalities (49J40) Stokes and related (Oseen, etc.) flows (76D07) Theoretical approximation in context of PDEs (35A35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items

3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition ⋮ Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic properties of solutions to the equations of incompressible fluid mechanics
• Global strong solutions of two-dimensional Navier-Stokes equations with nonlinear slip boundary conditions
• Shape optimization for Stokes problem with threshold slip.
• Finite element approximation of the Navier-Stokes equations
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• On a strong solution of the non-stationary Navier-Stokes equations under slip or leak boundary conditions of friction type
• On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
• On the asymptotic limit of flows past a ribbed boundary
• The blocking property in the study of the Bingham fluid
• A coherent analysis of Stokes flows under boundary conditions of friction type
• On the Stokes equation with the leak and slip boundary conditions of friction type: regularity of solutions
• Non-isothermal Navier-Stokes system with mixed boundary conditions and friction law: uniqueness and regularity properties
• Existence for a class of non-Newtonian fluids with a nonlocal friction boundary condition
• Influence of wall roughness on the slip behaviour of viscous fluids
• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
• On some existence and uniqueness results in contact problems with nonlocal friction
• Analysis of a history-dependent frictional contact problem
• Convex Analysis
• On the no-slip boundary condition
• Nonlinear partial differential equations with applications