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Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum
1.  Institute of Applied Mathematics, AMSS, Academia Sinica, Bejing, China 
2.  Department of Mathematics, Shanghai Normal University, Shanghai 200234, China 
[1] 
Boling Guo, Guangwu Wang. Existence of the solution for the viscous bipolar quantum hydrodynamic model. Discrete and Continuous Dynamical Systems, 2017, 37 (6) : 31833210. doi: 10.3934/dcds.2017136 
[2] 
Ming Mei, Bruno Rubino, Rosella Sampalmieri. Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Kinetic and Related Models, 2012, 5 (3) : 537550. doi: 10.3934/krm.2012.5.537 
[3] 
José Antonio Carrillo, Yingping Peng, Aneta WróblewskaKamińska. Relative entropy method for the relaxation limit of hydrodynamic models. Networks and Heterogeneous Media, 2020, 15 (3) : 369387. doi: 10.3934/nhm.2020023 
[4] 
Qiwei Wu. Largetime behavior of solutions to the bipolar quantum EulerPoisson system with critical timedependent overdamping. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022008 
[5] 
Cong He, Hongjun Yu. Large time behavior of the solution to the Landau Equation with specular reflective boundary condition. Kinetic and Related Models, 2013, 6 (3) : 601623. doi: 10.3934/krm.2013.6.601 
[6] 
Jie Zhao. Large time behavior of solution to quasilinear chemotaxis system with logistic source. Discrete and Continuous Dynamical Systems, 2020, 40 (3) : 17371755. doi: 10.3934/dcds.2020091 
[7] 
Haifeng Hu, Kaijun Zhang. Analysis on the initialboundary value problem of a full bipolar hydrodynamic model for semiconductors. Discrete and Continuous Dynamical Systems  B, 2014, 19 (6) : 16011626. doi: 10.3934/dcdsb.2014.19.1601 
[8] 
Linlin Li, Bedreddine Ainseba. Largetime behavior of matured population in an agestructured model. Discrete and Continuous Dynamical Systems  B, 2021, 26 (5) : 25612580. doi: 10.3934/dcdsb.2020195 
[9] 
Shijin Deng. Large time behavior for the IBVP of the 3D Nishida's model. Networks and Heterogeneous Media, 2010, 5 (1) : 133142. doi: 10.3934/nhm.2010.5.133 
[10] 
Nataliia V. Gorban, Olha V. Khomenko, Liliia S. Paliichuk, Alla M. Tkachuk. Longtime behavior of state functions for climate energy balance model. Discrete and Continuous Dynamical Systems  B, 2017, 22 (5) : 18871897. doi: 10.3934/dcdsb.2017112 
[11] 
Weike Wang, Xin Xu. Large time behavior of solution for the full compressible navierstokesmaxwell system. Communications on Pure and Applied Analysis, 2015, 14 (6) : 22832313. doi: 10.3934/cpaa.2015.14.2283 
[12] 
Zhenhua Guo, Wenchao Dong, Jinjing Liu. Largetime behavior of solution to an inflow problem on the half space for a class of compressible nonNewtonian fluids. Communications on Pure and Applied Analysis, 2019, 18 (4) : 21332161. doi: 10.3934/cpaa.2019096 
[13] 
Nuno J. Alves, Athanasios E. Tzavaras. The relaxation limit of bipolar fluid models. Discrete and Continuous Dynamical Systems, 2022, 42 (1) : 211237. doi: 10.3934/dcds.2021113 
[14] 
Tong Li, Kun Zhao. Global existence and longtime behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model. Networks and Heterogeneous Media, 2011, 6 (4) : 625646. doi: 10.3934/nhm.2011.6.625 
[15] 
Jianwei Yang, Dongling Li, Xiao Yang. On the quasineutral limit for the compressible EulerPoisson equations. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022020 
[16] 
Youshan Tao, Lihe Wang, ZhiAn Wang. Largetime behavior of a parabolicparabolic chemotaxis model with logarithmic sensitivity in one dimension. Discrete and Continuous Dynamical Systems  B, 2013, 18 (3) : 821845. doi: 10.3934/dcdsb.2013.18.821 
[17] 
Xinru Cao. Large time behavior in the logistic KellerSegel model via maximal Sobolev regularity. Discrete and Continuous Dynamical Systems  B, 2017, 22 (9) : 33693378. doi: 10.3934/dcdsb.2017141 
[18] 
Shijie Shi, Zhengrong Liu, HaiYang Jin. Boundedness and large time behavior of an attractionrepulsion chemotaxis model with logistic source. Kinetic and Related Models, 2017, 10 (3) : 855878. doi: 10.3934/krm.2017034 
[19] 
Ken Shirakawa, Hiroshi Watanabe. Largetime behavior for a PDE model of isothermal grain boundary motion with a constraint. Conference Publications, 2015, 2015 (special) : 10091018. doi: 10.3934/proc.2015.1009 
[20] 
Peng Jiang. Global wellposedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 20452063. doi: 10.3934/dcds.2017087 
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