Component mode synthesis for laminar viscous incompressible fluid flow

2013 ◽  
pp. 207-217
Author(s):  
Mats Larson ◽  
Fredrik Bengzon
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Component Mode Synthesis ◽  
Incompressible Fluid Flow

CLASSICAL SOLVABILITY OF THE TWO-PHASE STEFAN PROBLEM IN A VISCOUS INCOMPRESSIBLE FLUID FLOW

2002 ◽  
Vol 12 (03) ◽  
pp. 365-391 ◽  
Author(s):  
YOSHIAKI KUSAKA ◽  
ATUSI TANI
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Stefan Problem ◽  
Unique Solvability ◽  
Viscous Incompressible Fluid ◽  
Incompressible Fluid Flow ◽  
Hölder Spaces ◽  
Two Phase ◽  
Hölder Exponents ◽  
Holder Spaces

In this paper we study the two-phase Stefan problem for a viscous incompressible fluid which is a model of melting a solid to a liquid or of soldificating a liquid to a solid with a liquid flowing. The unique solvability is established in Hölder spaces locally in time. The method of the proof is rather standard, however the result obtained is completely new: the existence in the Hölder spaces with the same Hölder exponents as the data and the uniqueness also in the same Hölder spaces.

Time delay and Lagrangian approximation for Navier–Stokes flow

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Nazgul Asanalieva ◽  
Carolin Heutling ◽  
Werner Varnhorn
Keyword(s):  
Fluid Flow ◽  
Time Delay ◽  
Incompressible Fluid ◽  
Stokes Flow ◽  
Stokes Equations ◽  
Viscous Incompressible Fluid ◽  
Navier Stokes ◽  
Incompressible Fluid Flow ◽  
Navier Stokes Equations

AbstractWe consider the nonstationary nonlinear Navier–Stokes equations describing the motion of a viscous incompressible fluid flow for

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