The aim of this work is to design oblique boundary feedback controller for sta-bilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain inR^2. Two kinds of such feedback controller are p...The aim of this work is to design oblique boundary feedback controller for sta-bilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain inR^2. Two kinds of such feedback controller are provided, one is the proportional stabilizablefeedback control, which is obtained by spectrum decomposition method, while another oneis constructed via the Ricatti operator for an infinite time horizon optimal control problem.An example of periodic Boussinesq flow in 2-D channel is also given.展开更多
Insects are the most diverse group of organisms in the animal kingdom,and some species exhibit complex social behaviors.Although research on insect object use is still in its early stages,insects have already been sho...Insects are the most diverse group of organisms in the animal kingdom,and some species exhibit complex social behaviors.Although research on insect object use is still in its early stages,insects have already been shown to display rich object-use behaviors.This review focuses on patterns and behavioral flexibility in insect object-use behavior,and the role of cultural evolution in the development of object-use behaviors.Object use in insects is not widespread but has been documented in a diverse set of taxa.Some insects can use objects flexibly and display various object-use patterns.Like mammals and birds,insects use objects in diverse activities,including foraging,predator defense,courtship,and play.Intelligence,pre-existing manipulative behaviors,and anatomical structure affect innovations in object use.In addition,learning and imitation are the main mechanisms underlying the spread of object-use behaviors within populations.Given that insects are one of the major animal groups engaging in object use,studies of insect object use could provide general insights into object use in the animal kingdom.展开更多
文摘The aim of this work is to design oblique boundary feedback controller for sta-bilizing the equilibrium solutions to Boussinesq equations on a bounded and open domain inR^2. Two kinds of such feedback controller are provided, one is the proportional stabilizablefeedback control, which is obtained by spectrum decomposition method, while another oneis constructed via the Ricatti operator for an infinite time horizon optimal control problem.An example of periodic Boussinesq flow in 2-D channel is also given.
基金This work is supported in part by the National Natural Science Foundation of China （No. 60472062） and the Natural Science Foundation of Hubei Province （No. 2004ABA038）.
基金funded by the National Key R&D Program of China(No.2021YFD1000500,2022YFD1400600,and 2021YFE0112400)National Natural Science Foundation of China(32072488)Second Tibetan Plateau Scientific Expedition and Research Program(2019QZKK0307).
文摘Insects are the most diverse group of organisms in the animal kingdom,and some species exhibit complex social behaviors.Although research on insect object use is still in its early stages,insects have already been shown to display rich object-use behaviors.This review focuses on patterns and behavioral flexibility in insect object-use behavior,and the role of cultural evolution in the development of object-use behaviors.Object use in insects is not widespread but has been documented in a diverse set of taxa.Some insects can use objects flexibly and display various object-use patterns.Like mammals and birds,insects use objects in diverse activities,including foraging,predator defense,courtship,and play.Intelligence,pre-existing manipulative behaviors,and anatomical structure affect innovations in object use.In addition,learning and imitation are the main mechanisms underlying the spread of object-use behaviors within populations.Given that insects are one of the major animal groups engaging in object use,studies of insect object use could provide general insights into object use in the animal kingdom.
