Publications related to Cauchy momentum equation

Analysis of morphological and haemodynamical indexes in abdominal aortic aneurysms as preliminary indicators of intraluminal thrombus deposition

Alfio Quarteroni, Simone Deparis, Claudia Maria Colciago

In this paper we study the correlation between the Wall Shear Stress (WSS), a haemodynamical index derived from numerical simulations, and an new index MFA-ILT for the characterisation of intraluminal thrombus (ILT) in presence of abdominal aortic aneurysm ...

2019

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Maria Colombo, Luigi Forcella, Luigi De Rosa

Given any solutionuof the Euler equations which is assumed to have some regularity in space-in terms of Besov norms, natural in this context-we show by interpolation methods that it enjoys a corresponding regularity in time and that the associated pressure ...

IOP2019

Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations

Maria Colombo, Luigi De Rosa, Camillo De Lellis

We prove the ill-posedness of Leray solutions to the Cauchy problem for the hypodissipative Navier-Stokes equations, when the dissipative term is a fractional Laplacian with exponent . The proof follows the "convex integration methods" introduced by the se ...

2018

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

Mário Jorge Rodrigues Pereira Da Franca, Sara Venuleo

Gravity currents are often modelled by means of shallow water equations (SWEs). In these models, simplifications such as the consideration of a constant layer-averaged density are common. This note presents the complete and general derivation of a 2D depth ...

2018

A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

Elsevier2017

A-free rigidity and applications to the compressible Euler system

Elisabetta Chiodaroli

Can every measure-valued solution to the compressible Euler equations be approximated by a sequence of weak solutions? We prove that the answer is negative: generalizing a well-known rigidity result of Ball and James to a more general situation, we constru ...

Springer Verlag2017

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

MATHICSE2016

Molecular dynamics at constant Cauchy stress

Ronald Earle Miller, Fabio Pavia

The Parrinello-Rahman algorithm for imposing a general state of stress in periodic molecular dynamics simulations is widely used in the literature and has been implemented in many readily available molecular dynamics codes. However, what is often overlooke ...

American Institute of Physics2016

An overview of some recent results on the Euler system of isentropic gas dynamics

Elisabetta Chiodaroli

This overview is concerned with the well-posedness problem for the isentropic compressible Euler equations of gas dynamics. The results we present are in line with the programof investigatingthe efficiency of different selection criteria proposed in the li ...

Springer Heidelberg2016

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Cauchy momentum equation

Analysis of morphological and haemodynamical indexes in abdominal aortic aneurysms as preliminary indicators of intraluminal thrombus deposition

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

A posteriori error estimation for the steady Navier-Stokes equations in random domains

$A$-free Rigidity and Applications to the Compressible Euler System

A-free rigidity and applications to the compressible Euler system

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

Molecular dynamics at constant Cauchy stress

An overview of some recent results on the Euler system of isentropic gas dynamics

Graph Chatbot

Chat with Graph Search

Analysis of morphological and haemodynamical indexes in abdominal aortic aneurysms as preliminary indicators of intraluminal thrombus deposition

Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations

Regularity results for rough solutions of the incompressible Euler equations via interpolation methods

Depth-averaged momentum equation for gravity currents with varying density: coefficient in pressure term

MATHICSE Technical Report : A posteriori error estimation for the steady Navier-Stokes equations in random domains

Molecular dynamics at constant Cauchy stress

A-free rigidity and applications to the compressible Euler system

A posteriori error estimation for the steady Navier-Stokes equations in random domains

$A$-free Rigidity and Applications to the Compressible Euler System

An overview of some recent results on the Euler system of isentropic gas dynamics