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Hypocoercivity in Algebraically Constrained Partial Differential Equations with Application to Oseen Equations
The long-time behavior of solutions to different versions of Oseen equations of fluid flow on the 2D torus is analyzed using the concept of...
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A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes
For the Oseen problem, we present a new stabilized virtual element method on polygonal meshes that allows us to employ “equal-order” virtual element...
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Time Periodic Solutions to the Evolutionary Oseen Model for a Generalized Newtonian Incompressible Fluid
In this paper we study a nonstationary Oseen model for a generalized Newtonian incompressible fluid with a time periodic condition and a multivalued,...
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A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with two multivalued operators and two bifunctions in a Banach...
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Coarse-grid operator optimization in multigrid reduction in time for time-dependent Stokes and Oseen problems
Multigrid reduction in time (MGRIT), one of the most popular parallel-in-time approaches, extracts temporal parallelism by constructing coarse grids...
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Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with...
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Superconvergent Pseudostress-Velocity Finite Element Methods for the Oseen Equations
We present a priori and superconvergence error estimates of mixed finite element methods for the pseudostress-velocity formulation of the Oseen...
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Periodic Motions of the Non-autonomous Oseen–Navier–Stokes Flows Past a Moving Obstacle with Data in Lp-Spaces
In this paper, we study the time-periodic mild solutions to the non-autonomous Oseen–Navier–Stokes equations (ONSE). We prove the existence and...
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The Oseen–Frank Energy Functional on Manifolds
We observe that for a unit tangent vector field u ∈ T M on a 3-dimensional Riemannian manifold M , there is a unique unit cotangent vector field A ∈ T ∗ M ...
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Virtual Element Methods for a Stream-Function Formulation of the Oseen Equations
The aim of this work is to analyze virtual element methods to solve the Oseen equations in terms of the stream-function on simply connected polygonal...
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An adaptive multiscale hybrid-mixed method for the Oseen equations
A novel residual a posteriori error estimator for the Oseen equations achieves efficiency and reliability by including multilevel contributions in...
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Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals
We propose a robust and efficient augmented Lagrangian-type preconditioner for solving linearizations of the Oseen–Frank model arising in nematic and...
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Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls
This paper focuses on the stability of solutions for a velocity-tracking problem associated with the two-dimensional Navier–Stokes equations. The...
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Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections
This paper considers the two-level iterative finite element methods for the steady natural convection equations under some uniqueness conditions with...
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Fast solution of incompressible flow problems with two-level pressure approximation
This paper develops efficient preconditioned iterative solvers for incompressible flow problems discretised by an enriched Taylor–Hood mixed...
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On the Stabilization Problem by Feedback Control for Some Hydrodynamic Type Systems
The main hydrodynamic system that we study here is three-dimensional (3D) Navier–Stokes system. This chapter is divided into two parts: investigation...
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A Viscosity-Independent Error Estimate of a Pressure-Stabilized Lagrange–Galerkin Scheme for the Oseen Problem
We consider a pressure-stabilized Lagrange–Galerkin scheme for the transient Oseen problem with small viscosity. In the scheme we use the equal-order...
