Hydraulic‐Head Formulation for Density‐Dependent Flow and Transport

Ground Water ◽  
2020 ◽  
Vol 58 (3) ◽  
pp. 349-362 ◽  
Author(s):  
Christian D. Langevin ◽  
Sorab Panday ◽  
Alden M. Provost
Keyword(s):  
Hydraulic Head ◽  
Density Dependent ◽  
Flow And Transport ◽  
Dependent Flow ◽  
Density Dependent Flow

Modeling of 2D Density-Dependent Flow and Transport in the Subsurface

1998 ◽  
Vol 3 (4) ◽  
pp. 248-257 ◽  
Author(s):  
Jing-Ru Cheng ◽  
Robert O. Strobl ◽  
Gour-Tsyh Yeh ◽  
Hsin-Chi Lin ◽  
Woo Hee Choi
Keyword(s):  
Density Dependent ◽  
Flow And Transport ◽  
Dependent Flow ◽  
Density Dependent Flow

scholarly journals Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yong Zhou ◽  
Jishan Fan ◽  
Gen Nakamura
Keyword(s):  
Strong Solution ◽  
Initial Density ◽  
Regularity Criterion ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Density Dependent ◽  
Global Strong Solution ◽  
Dependent Flow ◽  
Density Dependent Flow ◽  
Initial Boundary Value

The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocityu0and small∇d0. We also give a regularity criterion∇d∈Lp(0,T;Lq(Ω))  (2/q)+(2/p)=1, 2<q≤∞of the problem with the Dirichlet boundary conditionu=0,d=d0on∂Ω.

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