Regularity and Exponential Stability of the pth Power Newtonian Fluid in One Space Dimension

2012 ◽  
pp. 75-92
Author(s):  
Yuming Qin ◽  
Lan Huang
Keyword(s):  
Exponential Stability ◽  
Newtonian Fluid ◽  
Space Dimension ◽  
One Space Dimension

REGULARITY AND EXPONENTIAL STABILITY OF THE pth NEWTONIAN FLUID IN ONE SPACE DIMENSION

2010 ◽  
Vol 20 (04) ◽  
pp. 589-610 ◽  
Author(s):  
YUMING QIN ◽  
LAN HUANG
Keyword(s):  
Exponential Stability ◽  
Newtonian Fluid ◽  
Space Dimension ◽  
Stability Of Solutions ◽  
One Dimensional ◽  
New Ideas ◽  
One Space Dimension

In this paper, we prove the regularity and exponential stability of solutions in Hi (i = 2, 4) for a pth power Newtonian fluid undergoing one-dimensional longitudinal motions. Some new ideas and more delicate estimates are introduced to prove these results.

scholarly journals Self-adjoint Dirac type Hamiltonians in one space dimension with a mass jump

2015 ◽  
Vol 48 (4) ◽  
pp. 045207 ◽  
Author(s):  
L A González-Díaz ◽  
Alberto A Díaz ◽  
S Díaz-Solórzano ◽  
J R Darias
Keyword(s):  
Space Dimension ◽  
Dirac Type ◽  
One Space Dimension

scholarly journals LOW REGULARITY WELL-POSEDNESS OF THE DIRAC–KLEIN–GORDON EQUATIONS IN ONE SPACE DIMENSION

2008 ◽  
Vol 10 (02) ◽  
pp. 181-194 ◽  
Author(s):  
SIGMUND SELBERG ◽  
ACHENEF TESFAHUN
Keyword(s):  
Dirac Operator ◽  
Space Dimension ◽  
One Dimension ◽  
Well Posedness ◽  
Low Regularity ◽  
Klein Gordon ◽  
One Space Dimension

We extend recent results of Machihara and Pecher on low regularity well-posedness of the Dirac–Klein–Gordon (DKG) system in one dimension. Our proof, like that of Pecher, relies on the null structure of DKG, recently completed by D'Ancona, Foschi and Selberg, but we show that in 1d the argument can be simplified by modifying the choice of projections for the Dirac operator. We also show that the result is best possible up to endpoint cases, if one iterates in Bourgain–Klainerman–Machedon spaces.

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