Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality
DOI10.1080/00036811.2020.1834084zbMath1492.35228OpenAlexW3111527995MaRDI QIDQ5085540
Sylwia Dudek, Stanislaw Migórski
Publication date: 27 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1834084
generalized Newtonian fluidslipStokes equationunilateral boundary conditionleakfrictional boundary condition
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Unilateral problems for nonlinear PDEs of mixed type and variational inequalities with nonlinear partial differential operators of mixed type (35M86)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unilateral problem for the Stokes equations: the well-posedness and finite element approximation
- The Navier-Stokes equations under a unilateral boundary condition of Signorini's type
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Existence of the solution to stationary Navier-Stokes equations with nonlinear slip boundary conditions
- On a strong solution of the non-stationary Navier-Stokes equations under slip or leak boundary conditions of friction type
- Solvability of Navier-Stokes equations with leak boundary conditions
- Stationary flow of non-Newtonian fluid with nonmonotone frictional boundary conditions
- Navier-Stokes problems modeled by evolution hemivariational inequalities
- Steady flow of generalized Newtonian fluid with multivalued rheology and nonmonotone friction law
- On steady flow of non-Newtonian fluids with frictional boundary conditions in reflexive Orlicz spaces
- Hemivariational inequalities for stationary Navier--Stokes equations
- Evolutionary Oseen model for generalized Newtonian fluid with multivalued nonmonotone friction law
- 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
- A class of variational-hemivariational inequalities in reflexive Banach spaces
- A unified approach to dynamic contact problems in viscoelasticity
- Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications
- Mathematical Models in Contact Mechanics
- A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach
- Optimization and nonsmooth analysis
- Stationary Oberbeck–Boussinesq model of generalized Newtonian fluid governed by multivalued partial differential equations
- Steady solutions of the Navier–Stokes equations with threshold slip boundary conditions
- A new class of variational‐hemivariational inequalities for steady Oseen flow with unilateral and frictional type boundary conditions
This page was built for publication: Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality