On asymptotic equipartition of energy in linear elastodynamics for exterior domains

ARI ◽  
1999 ◽  
Vol 51 (3) ◽  
pp. 191-195
Author(s):  
N. E. Benouar ◽  
A. Tartaglione
Keyword(s):  
Exterior Domains ◽  
Linear Elastodynamics ◽  
Equipartition Of Energy

scholarly journals Global existence of null-form wave equations in exterior domains

2007 ◽  
Vol 256 (3) ◽  
pp. 521-549 ◽  
Author(s):  
Jason Metcalfe ◽  
Christopher D. Sogge
Keyword(s):  
Global Existence ◽  
Wave Equations ◽  
Exterior Domains

scholarly journals Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 841
Author(s):  
Toshiaki Hishida
Keyword(s):  
Evolution Operator ◽  
Large Time ◽  
Rigid Motion ◽  
Time Dependent ◽  
Energy Relation ◽  
Exterior Domains ◽  
Decay Properties ◽  
Decay Of Solutions ◽  
Whole Space ◽  
Expository Paper

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.

Stability results for fluids of Oldroyd-B type on exterior domains

2014 ◽  
Vol 55 (9) ◽  
pp. 091505 ◽  
Author(s):  
Matthias Geissert ◽  
Matthias Hieber ◽  
Nguyen Thieu Huy
Keyword(s):  
Exterior Domains ◽  
Stability Results
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