作者： Changxing MIAO，Junyong ZHANG，Jiqiang ZHENG （Institute of Applied Physics and Computational Mathematics，Beijing 100088，China；Department of Mathematics，Beijing Institute of Technology，Beijing 100081，China；Department of Mathematics，Cardiff University，UK）

出处： 数学物理学报(英文版) 2022 第42卷 第6期 P2230-2256

关键词： nonlinear；Schr?dinger；equations；long；range；potential；global；well-posedness；blow-up；scattering

摘要： In this paper,we study the Cauchy problem for the nonlinear Schr?dinger equa-tions with Coulomb potential i?tu+Δu+K/|x|u=λ|u|p-1u with 1＜p≤5 on R3.Our ...

作者： Xiao-Hui Wu，Jun-Min Wang （School of Statistics and Mathematics，Beijing Institute of Technology）

出处： 第34届中国控制与决策会议 supported by National Nature Science Foundation under Grant 62073037，12131008；China Postdoctoral Science Foundation(2021M700431) 2022

会议录： 第34届中国控制与决策会议

关键词： Internal；model；principle；disturbance；rejection；error；feedback；wave；equation；adaptive；method

摘要： In this paper,we are concerned with the output tracking problem for a hybrid wave-ODE system coupling an elastic string with a rigid body at one end.T ...

作者： Lina Pan，Jun-Min Wang （School of Mathematics and Statistics，Beijing Institute of Technology）

出处： 第41届中国控制会议 supported by the National Nature Science Foundation of China with grant number 62073037 2022

会议录： Proceedings of the 41st Chinese Control Conference中国自动化学会控制理论专业委员会会议论文集

关键词： Stabilization；three；heat；equations；three；transformations

摘要： In this paper,we consider the exponential stabilization for a cascade system of three heat equations,where one boundary control is only applied to the ...

作者： Zhuoqian Chen¹;Houbao Xu¹;Huixia Huo¹; （¹Department of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China）

出处： Mathematics 2022 Vol.10 No.4117 P4117

关键词： spectral collocation method;integro-differential equations;Trotter-Kato theorem;algorithm

摘要： First-order linear Integro-Differential Equations (IDEs) has a major importance in modeling of some phenomena in sciences and engineering. The numeric ...

作者： Hualei Zhang¹;，Qiong Zhang²; （¹School of Mathematics and Statistics,Beijing Institute of Technology；²School of Mathematics and Statistics,Beijing Key Laboratory on MCAACI,Beijing Institute of Technology）

出处： 第41届中国控制会议 supported by the National Natural Science Foundation of China (grant 61873036)；Beijing Municipal Natural Science Foundation (grant 4182059) 2022

会议录： Proceedings of the 41st Chinese Control Conference中国自动化学会控制理论专业委员会会议论文集

关键词： Thermo-porous-elasticity；Exponential；stability；Polynomial；stability；Semigroup

摘要： In this paper,we consider the stabilization of a one-dimensional system of type II thermoelasticity with voids,which consists of two wave equations fo ...

作者： Chang Wang¹; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China）

出处： Journal of Physics: Conference Series 2022 Vol.2381 P012053

摘要： We consider the inverse problem of determining the potential function of the stationary vector Burgers equations Δu – (u · ∇)u – q(x)u = 0. We give th ...

作者： Ruijuan Liu¹;Qiong Zhang¹;CA1 （¹School of Mathematics and Statistics, Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, 100081, PR China）

出处： Journal of Mathematical Analysis and Applications 2022 P126918

关键词： Timoshenko beam;Semigroup;Local Kelvin-Voigt damping;Polynomial stability;Resolvent operator estimate

摘要： We consider the Timoshenko beam with localized viscoelastic damping of Kelvin-Voigt type. The constitutive law has singularity at the interface of the ...

作者： Mengying Liu¹;1;Yueli Yue¹;CA2;Xiaowei Wei²;3 （¹School of Mathematical Sciences, Ocean University of China, Qingdao, China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China）

出处： Fuzzy Sets and Systems 2022

关键词： Q -Scott open set;Monad;Algebraic Q -ordered closure operator;Algebraic Q -module

摘要： For a frame Q , this paper studies the Kleisli monoids and Eilenberg-Moore algebras with respect to the Q -Scott open set monad. Firstly, we show that ...

作者： Huan, Yue^1,2;Tian, Yubin¹;Wang, Dianpeng¹; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China;²Delft Institute of Applied Mathematics, Delft University of Technology, Delft, 2628 CD, Netherlands）

出处： Mathematics 2022 Vol.10 No.19 P3585

摘要： Simulations are often used to investigate the flow structures and system dynamics of complex natural phenomena and systems, which are significantly ha ...

作者： Pan Liu^1,2;CA1 （¹School of Mathematics and Statistics, Yulin University, Yulin 719000, Shaanxi Province, China;²School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China）

出处： Journal of Mathematical Analysis and Applications 2022 P126945

关键词： Inhomogeneous MHD equations;Liouville-type theorem;Lorentz space

摘要： In this paper, we investigate the Liouville-type problem for the three-dimensional stationary inhomogeneous incompressible MHD equations in the Lorent ...