3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition

DOI10.1016/j.jmaa.2018.06.035zbMath1441.76032OpenAlexW2810150065MaRDI QIDQ724686

Laetitia Paoli, Mahdi Boukrouche

Publication date: 26 July 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.06.035

zbMATH Keywords

variational inequalityCoulomb's friction lawNavier-Stokes systemhistory-dependent boundary conditionsuccessive approximation technique

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Non-isothermal lubrication problem with Tresca fluid-solid interface law. I.
• Existence for non-isothermal fluid flows with Tresca's friction and Cattaneo's heat law
• The blocking property in the study of the Bingham fluid
• The effect of the slip boundary condition on the flow of fluids in a channel
• 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
• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
• Global existence for 3D non-stationary Stokes flows with Coulomb’s type friction boundary conditions
• On some existence and uniqueness results in contact problems with nonlocal friction
• Analysis of a history-dependent frictional contact problem
• Nonlinear partial differential equations with applications

This page was built for publication: 3D unsteady Navier-Stokes problem with memory and subdifferential boundary condition