典型文献
EXISTENCE AND STABILITY OF PERIODIC AND ALMOST PERIODIC SOLUTIONS TO THE BOUSSINESQ SYSTEM IN UNBOUNDED DOMAINS
文献摘要：
In this paper we investigate the existence and stability of periodic solutions(on a half-line R+)and almost periodic solutions on the whole line time-axis R to the Boussinesq system on several classes of unbounded domains of Rn in the framework of interpolation spaces.For the linear Boussinesq system we combine the Lp-Lq-smoothing estimates and interpolation functors to prove the existence of bounded mild solutions.Then,we prove the existence of periodic solutions by invoking Massera's principle.We also prove the existence of almost periodic solutions.Then we use the results of the linear Boussinesq system to establish the existence,uniqueness and stability of the small periodic and almost periodic solutions to the Boussinesq system using fixed point arguments and interpolation spaces.Our results cover and extend the previous ones obtained in[13,34,38].
文献关键词：
中图分类号：
作者姓名：
Thieu Huy NGUYEN;Truong Xuan PHAM;Thi Ngoc Ha VU;The Sac LE
作者机构：
School of Applied Mathematics and Informatics,Hanoi University of Science and Technology Vien Toan ung dung va Tin hoc,Dai hoc Bach khoa Hanoi 1 Dai Co Viet,Hanoi,Vietnam;Department of Mathematics,Faculty of Information Technology,Thuyloi university Khoa Cong nghe Thong tin,Bo mon Toan,Dai hoc Thuy loi,175 Tay Son,Dong Da,Ha Noi,Viet Nam;Thuyloi University,Dai hoc Thuy Loi,175 Tay Son,Dong Da,Hanoi,Viet Nam
文献出处：
引用格式：
[1]Thieu Huy NGUYEN;Truong Xuan PHAM;Thi Ngoc Ha VU;The Sac LE-.EXISTENCE AND STABILITY OF PERIODIC AND ALMOST PERIODIC SOLUTIONS TO THE BOUSSINESQ SYSTEM IN UNBOUNDED DOMAINS)[J].数学物理学报（英文版）,2022(05):1875-1901
A类：
EXISTENCE,PERIODIC,ALMOST,BOUSSINESQ,UNBOUNDED,DOMAINS,functors,Massera
B类：
AND,STABILITY,OF,SOLUTIONS,TO,THE,SYSTEM,In,this,paper,we,investigate,existence,stability,periodic,solutions,half,R+,almost,whole,axis,Boussinesq,system,several,classes,unbounded,domains,Rn,framework,interpolation,spaces,For,linear,combine,Lp,Lq,smoothing,estimates,prove,mild,Then,by,invoking,principle,We,also,use,results,establish,uniqueness,small,using,fixed,point,arguments,Our,cover,extend,previous,ones,obtained
AB值：
0.463636
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