scholarly journals Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains

2020 ◽  
Vol 268 (6) ◽  
pp. 3035-3056 ◽  
Author(s):  
Mohamed Jleli ◽  
Bessem Samet ◽  
Dong Ye
2007 ◽  
Vol 256 (3) ◽  
pp. 521-549 ◽  
Author(s):  
Jason Metcalfe ◽  
Christopher D. Sogge

2021 ◽  
Vol 9 (5) ◽  
pp. 548
Author(s):  
Jian Dai ◽  
Christos Stefanakos ◽  
Bernt J. Leira ◽  
Hagbart Skage Alsos

Floating bridges are suitable for connecting land parcels separated by wide and deep waterbodies. However, when the span of the crossing becomes very long, the water environment exhibits inhomogeneities which introduce difficulties to the modelling, analysis and design of the bridge structure. The wave inhomogeneity may be described by means of field measurement and/or numerical simulations. Both approaches face complications when the resolution is much refined. It is thus important to examine the effect of the resolution related to the modelling of inhomogeneous waves on the global structural responses. In this study, a hypothetical crossing at the Sulafjord is chosen, and the wave environment in the year 2015 at 10 positions along the crossing is numerically computed. Next, different inhomogeneous wave conditions are established based on the wave data at 3, 5, and 10 positions, respectively. Time-domain simulations are conducted to examine the effect of different modelling approaches of the inhomogeneous wave condition on the global responses of a long, straight and side-anchored floating bridge.


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.


2014 ◽  
Vol 55 (9) ◽  
pp. 091505 ◽  
Author(s):  
Matthias Geissert ◽  
Matthias Hieber ◽  
Nguyen Thieu Huy

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