A uniqueness theorem for nonstationary Navier-Stokes flow past an obstacle
A uniqueness theorem for the approximable solutions of the stationary Navier-Stokes equations
It is proved that there can exist at most one solution of the homogeneous Dirichlet problem for the stationary Navier-Stokes equations in 3-dimensional space which is approximable by a given consistent and regular approximation scheme.
A uniqueness theorem for viscous flows on exterior domains with summability assumptions on the gradient of pressure.
In questa Nota si fornisce un teorema di unicità per soluzioni regolari delle equazioni di Navier-Stokes in domini esterni. Tale teorema non richiede che le velocità tendano ad un prefissato limite all'infinito, mentre il gradiente di pressione è supposto essere di -ma potenza sommabile nel cilindro spazio-temporale . Questo risultato non può essere ulteriormente generalizzato al caso , a causa di noti controesempi.
A variational principle for the nonstationary linear Navier-Stokes equations.
About the decay of surface waves on viscous fluids without surface tension
We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.
Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
In this work, we address the numerical solution of fluid-structure interaction problems. This issue is particularly difficulty to tackle when the fluid and the solid densities are of the same order, for instance as it happens in hemodynamic applications, since fully implicit coupling schemes are required to ensure stability of the resulting method. Thus, at each time step, we have to solve a highly non-linear coupled system, since the fluid domain depends on the unknown displacement of the structure....
Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
In this work, we address the numerical solution of fluid-structure interaction problems. This issue is particularly difficulty to tackle when the fluid and the solid densities are of the same order, for instance as it happens in hemodynamic applications, since fully implicit coupling schemes are required to ensure stability of the resulting method. Thus, at each time step, we have to solve a highly non-linear coupled system, since the fluid domain depends on the unknown displacement of...
Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class
We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution belongs to , then the set of all possible singular points of in is at most finite at every time .
An Analysis of a Mixed Finite Element Method for the Navier-Stokes Equations.
An Analysis of the p-Version of the Finite Element Method for Nearly Incompressible Materials. Uniformly Valid, Optimal Error Estimates
An application of the BDDC method to the Navier-Stokes equations in 3-D cavity
We deal with numerical simulation of incompressible flow governed by the Navier-Stokes equations. The problem is discretised using the finite element method, and the arising system of nonlinear equations is solved by Picard iteration. We explore the applicability of the Balancing Domain Decomposition by Constraints (BDDC) method to nonsymmetric problems arising from such linearisation. One step of BDDC is applied as the preconditioner for the stabilized variant of the biconjugate gradient (BiCGstab)...
An axisymmetric squeezing fluid flow between the two infinite parallel plates in a porous medium channel.
An error estimate for a numerical scheme for the compressible Navier-stokes system
An error estimate uniform in time for spectral Galerkin approximations for the equations for the motion of a chemical active fluid.
We study error estimates and their convergence rates for approximate solutions of spectral Galerkin type for the equations for the motion of a viscous chemical active fluid in a bounded domain. We find error estimates that are uniform in time and also optimal in the L2-norm and H1-norm. New estimates in the H(-1)-norm are given.
An indirect boundary integral method for an oscillatory Stokes flow problem.
An optimal dimension of submerged parallel bars as a wave reflector.
Analycity of the Semigroup Generated by the Stokes Operator.
Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls
Analysis of a mathematical model related to Czochralski crystal growth.
Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations