Existence Results for Steady Flows of Quasi-Newtonian Fluids Using Weak Monotonicity

2005 ◽  
Vol 7 (S2) ◽  
pp. S273-S288
Author(s):  
Nadir Arada ◽  
Adélia Sequeira
Keyword(s):  
Existence Results ◽  
Newtonian Fluids ◽  
Steady Flows ◽  
Weak Monotonicity

scholarly journals ROLL-WAVES IN BI-LAYER FLOWS

2012 ◽  
Vol 22 (06) ◽  
pp. 1250006 ◽  
Author(s):  
MARC BOUTOUNET ◽  
PASCAL NOBLE ◽  
JEAN-PAUL VILA
Keyword(s):  
Spectral Analysis ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Low Frequency ◽  
Newtonian Fluids ◽  
Hydrodynamic Instabilities ◽  
Steady Flows ◽  
Long Wavelength ◽  
Roll Waves ◽  
Saint Venant Equations

We derive consistent shallow water equations (so-called Saint Venant equations) for the superposition of two Newtonian fluids flowing down a ramp. We carry out a complete spectral analysis of steady flows in the low frequency/long wavelength regime and show the occurrence of hydrodynamic instabilities, so-called roll-waves, when steady flows are unstable.

On strongly quasilinear elliptic systems with weak monotonicity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Elhoussine Azroul ◽  
Farah Balaadich
Keyword(s):  
Elliptic System ◽  
Sobolev Spaces ◽  
Elliptic Systems ◽  
Existence Results ◽  
Young Measures ◽  
Quasilinear Elliptic System ◽  
Quasilinear Elliptic Systems ◽  
Weak Monotonicity ◽  
Quasilinear Elliptic

Abstract In this paper, we prove existence results in the setting of Sobolev spaces for a strongly quasilinear elliptic system by means of Young measures and mild monotonicity assumptions.

scholarly journals On Steady Flows of Quasi-Newtonian Fluids in Orlicz–Sobolev Spaces

2021 ◽  
Vol 17 (3) ◽  
pp. 263-279
Author(s):  
Farah Balaadich ◽  
◽  
Elhoussine Azroul ◽  
Keyword(s):  
Sobolev Spaces ◽  
Newtonian Fluids ◽  
Steady Flows

Axisymmetric steady flows in astrophysics

2003 ◽  
Vol 173 (11) ◽  
pp. 1247 ◽  
Author(s):  
Vasilii S. Beskin
Keyword(s):  
Steady Flows
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