scholarly journals A Singular Limit Problem for Rotating Capillary Fluids with Variable Rotation Axis

2016 ◽  
Vol 18 (4) ◽  
pp. 625-658 ◽  
Author(s):  
Francesco Fanelli
Keyword(s):  
Rotation Axis ◽  
Limit Problem ◽  
Singular Limit

Scale analysis of a hydrodynamic model of plasma

2014 ◽  
Vol 25 (02) ◽  
pp. 371-394 ◽  
Author(s):  
Donatella Donatelli ◽  
Eduard Feireisl ◽  
Antonín Novotný
Keyword(s):  
Hydrodynamic Model ◽  
Debye Length ◽  
Careful Analysis ◽  
Euler System ◽  
Limit Problem ◽  
Singular Limit ◽  
Scale Analysis ◽  
Small Ratio ◽  
High Reynolds ◽  
Incompressible Euler

We examine a hydrodynamic model of the motion of ions in plasma in the regime of small Debye length, a small ratio of the ion/electron temperature, and high Reynolds number. We analyze the associated singular limit and identify the limit problem — the incompressible Euler system. The result leans on careful analysis of the oscillatory component of the solutions by means of Fourier analysis.

scholarly journals A singular limit problem for the Ibragimov-Shabat equation

2016 ◽  
Vol 9 (3) ◽  
pp. 661-673 ◽  
Author(s):  
Giuseppe Maria Coclite ◽  
Lorenzo di Ruvo
Keyword(s):  
Limit Problem ◽  
Singular Limit
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