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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 
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Boling Guo, Guangwu Wang. Existence of the solution for the viscous bipolar quantum hydrodynamic model. Discrete & Continuous Dynamical Systems  A, 2017, 37 (6) : 31833210. doi: 10.3934/dcds.2017136 
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Ming Mei, Bruno Rubino, Rosella Sampalmieri. Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain. Kinetic & Related Models, 2012, 5 (3) : 537550. doi: 10.3934/krm.2012.5.537 
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Cong He, Hongjun Yu. Large time behavior of the solution to the Landau Equation with specular reflective boundary condition. Kinetic & Related Models, 2013, 6 (3) : 601623. doi: 10.3934/krm.2013.6.601 
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Jie Zhao. Large time behavior of solution to quasilinear chemotaxis system with logistic source. Discrete & Continuous Dynamical Systems  A, 2020, 40 (3) : 17371755. doi: 10.3934/dcds.2020091 
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Haifeng Hu, Kaijun Zhang. Analysis on the initialboundary value problem of a full bipolar hydrodynamic model for semiconductors. Discrete & Continuous Dynamical Systems  B, 2014, 19 (6) : 16011626. doi: 10.3934/dcdsb.2014.19.1601 
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Shijin Deng. Large time behavior for the IBVP of the 3D Nishida's model. Networks & Heterogeneous Media, 2010, 5 (1) : 133142. doi: 10.3934/nhm.2010.5.133 
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Nataliia V. Gorban, Olha V. Khomenko, Liliia S. Paliichuk, Alla M. Tkachuk. Longtime behavior of state functions for climate energy balance model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (5) : 18871897. doi: 10.3934/dcdsb.2017112 
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Weike Wang, Xin Xu. Large time behavior of solution for the full compressible navierstokesmaxwell system. Communications on Pure & Applied Analysis, 2015, 14 (6) : 22832313. doi: 10.3934/cpaa.2015.14.2283 
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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 & Applied Analysis, 2019, 18 (4) : 21332161. doi: 10.3934/cpaa.2019096 
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Tong Li, Kun Zhao. Global existence and longtime behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model. Networks & Heterogeneous Media, 2011, 6 (4) : 625646. doi: 10.3934/nhm.2011.6.625 
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Youshan Tao, Lihe Wang, ZhiAn Wang. Largetime behavior of a parabolicparabolic chemotaxis model with logarithmic sensitivity in one dimension. Discrete & Continuous Dynamical Systems  B, 2013, 18 (3) : 821845. doi: 10.3934/dcdsb.2013.18.821 
[12] 
Shijie Shi, Zhengrong Liu, HaiYang Jin. Boundedness and large time behavior of an attractionrepulsion chemotaxis model with logistic source. Kinetic & Related Models, 2017, 10 (3) : 855878. doi: 10.3934/krm.2017034 
[13] 
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 
[14] 
Xinru Cao. Large time behavior in the logistic KellerSegel model via maximal Sobolev regularity. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 33693378. doi: 10.3934/dcdsb.2017141 
[15] 
Peng Jiang. Global wellposedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics. Discrete & Continuous Dynamical Systems  A, 2017, 37 (4) : 20452063. doi: 10.3934/dcds.2017087 
[16] 
Geonho Lee, Sangdong Kim, YoungSam Kwon. Large time behavior for the full compressible magnetohydrodynamic flows. Communications on Pure & Applied Analysis, 2012, 11 (3) : 959971. doi: 10.3934/cpaa.2012.11.959 
[17] 
Hao Wu. Longtime behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows. Discrete & Continuous Dynamical Systems  A, 2010, 26 (1) : 379396. doi: 10.3934/dcds.2010.26.379 
[18] 
Jean Dolbeault, Giuseppe Toscani. Fast diffusion equations: Matching large time asymptotics by relative entropy methods. Kinetic & Related Models, 2011, 4 (3) : 701716. doi: 10.3934/krm.2011.4.701 
[19] 
MoonJin Kang, SeungYeal Ha, Jeongho Kim, Woojoo Shim. Hydrodynamic limit of the kinetic thermomechanical CuckerSmale model in a strong local alignment regime. Communications on Pure & Applied Analysis, 2020, 19 (3) : 12331256. doi: 10.3934/cpaa.2020057 
[20] 
Haifeng Hu, Kaijun Zhang. Stability of the stationary solution of the cauchy problem to a semiconductor full hydrodynamic model with recombinationgeneration rate. Kinetic & Related Models, 2015, 8 (1) : 117151. doi: 10.3934/krm.2015.8.117 
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