The Solution of Large Time-Dependent Problems Using Reduced Coordinates.

1987 ◽  
Author(s):  
Kyran D. Mish ◽  
Leonard R. Herrmann
Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 841
Author(s):  
Toshiaki Hishida

In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity. By following the approach developed by the present author for the physically relevant case where the rigid motion of the obstacle is time-dependent, we clarify that some decay properties of solutions to the same system in whole space Rn together with the energy relation imply the desired estimates in exterior domains provided n≥3.


2021 ◽  
Vol 10 ◽  
pp. 100129
Author(s):  
Sourav Dutta ◽  
Peter Rivera-Casillas ◽  
Orie M. Cecil ◽  
Matthew W. Farthing

2009 ◽  
Vol 181 ◽  
pp. 012053 ◽  
Author(s):  
A M A Neves ◽  
C M C Roque ◽  
A J M Ferreira ◽  
C M M Soares ◽  
R M N Jorge

2005 ◽  
Vol 340 (1-4) ◽  
pp. 87-93 ◽  
Author(s):  
Paolo Amore ◽  
Alfredo Aranda ◽  
Francisco M. Fernández ◽  
Hugh Jones

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