Found 311 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Existence and stability of steady noncharacteristic solutions on a finite interval of full compressible Navier-Stokes equations

At the same time, we give an example of an (artificial) equation of state possessing a convex entropy for which there holds nonuniqueness of solutions. Expand abstract.
7 days ago
10/10 relevant
arXiv

A geometric look at momentum flux and stress in fluid mechanics

We develop a geometric formulation of fluid dynamics, valid on arbitrary Riemannian manifolds, that regards the momentum-flux and stress tensors as 1-form valued 2-forms, and their divergence as a covariant exterior derivative. Expand abstract.
7 days ago
4/10 relevant
arXiv

Low Order Finite Element Methods for the Navier-Stokes-Cahn-Hilliard Equations

A computationally efficient, low order finite element formulation is developed for modelling the Navier-Stokes-Cahn-Hilliard equations, which have been established as a promising phase field modelling approach for simulation of immiscible multiphase flows. Expand abstract.
7 days ago
10/10 relevant
arXiv

Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems

A hybridizable discontinuous Galerkin (HDG) formulation of the linearized incompressible Navier-Stokes equations, known as Oseen equations, is presented. Expand abstract.
10 days ago
7/10 relevant
arXiv

Second order pressure estimates for the Crank-Nicolson discretization of the incompressible Navier-Stokes Equations

We provide optimal order pressure error estimates for the Crank-Nicolson semidiscretization of the incompressible Navier-Stokes equations. Expand abstract.
12 days ago
10/10 relevant
arXiv

On self-similar solutions to degenerate compressible Navier-Stokes equations

We study cavitating self-similar solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. Expand abstract.
14 days ago
10/10 relevant
arXiv

Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations

It was proved by Karch and Pilarzyc that Landau solutions are asymptotically stable under any $L^2$-perturbation. Expand abstract.
15 days ago
10/10 relevant
arXiv

Global regularity for the hyperdissipative Navier-Stokes equation below the critical order

We consider solutions of the Navier-Stokes equation with fractional dissipation of order $\alpha\geq 1$. Expand abstract.
16 days ago
10/10 relevant
arXiv

On the Serrin-type condition on one velocity component for the Navier-Stokes equations

In this paper we consider the regularity problem of the Navier-Stokes equations in $ \R^{3} $. Expand abstract.
16 days ago
10/10 relevant
arXiv

Existence of steady solutions of Newtonian and Non-Newtonian fluids with right hand sides beyond duality

We provide new a-priori estimates for classical Navier-Stokes equations as well as non-Newtonian fluids of power law type with right-hand sides that are not in the natural existence class. Expand abstract.
17 days ago
10/10 relevant
arXiv