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Wellposedness and stability of classical solutions to the multidimensional full hydrodynamic model for semiconductors
1.  Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China 
[1] 
Alexander Rezounenko. Viral infection model with diffusion and statedependent delay: Stability of classical solutions. Discrete & Continuous Dynamical Systems  B, 2018, 23 (3) : 10911105. doi: 10.3934/dcdsb.2018143 
[2] 
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 
[3] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Exponential stability of the solutions to the Boltzmann equation for the Benard problem. Kinetic & Related Models, 2012, 5 (4) : 673695. doi: 10.3934/krm.2012.5.673 
[4] 
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 
[5] 
Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic & Related Models, 2009, 2 (4) : 707725. doi: 10.3934/krm.2009.2.707 
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Sebastián Ferrer, Francisco Crespo. Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Journal of Geometric Mechanics, 2014, 6 (4) : 479502. doi: 10.3934/jgm.2014.6.479 
[7] 
Feimin Huang, Yeping Li. Large time behavior and quasineutral limit of solutions to a bipolar hydrodynamic model with large data and vacuum. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 455470. doi: 10.3934/dcds.2009.24.455 
[8] 
Luca Biasco, Luigi Chierchia. Exponential stability for the resonant D'Alembert model of celestial mechanics. Discrete & Continuous Dynamical Systems  A, 2005, 12 (4) : 569594. doi: 10.3934/dcds.2005.12.569 
[9] 
Min Zhu, Panpan Ren, Junping Li. Exponential stability of solutions for retarded stochastic differential equations without dissipativity. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 29232938. doi: 10.3934/dcdsb.2017157 
[10] 
Chunhua Jin. Global classical solution and stability to a coupled chemotaxisfluid model with logistic source. Discrete & Continuous Dynamical Systems  A, 2018, 38 (7) : 35473566. doi: 10.3934/dcds.2018150 
[11] 
Adrian Constantin, Joachim Escher. Introduction to the special issue on hydrodynamic model equations. Communications on Pure & Applied Analysis, 2012, 11 (4) : iiii. doi: 10.3934/cpaa.2012.11.4i 
[12] 
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 
[13] 
Faker Ben Belgacem. Uniqueness for an illposed reactiondispersion model. Application to organic pollution in streamwaters. Inverse Problems & Imaging, 2012, 6 (2) : 163181. doi: 10.3934/ipi.2012.6.163 
[14] 
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 
[15] 
Zijuan Wen, Meng Fan, Asim M. Asiri, Ebraheem O. Alzahrani, Mohamed M. ElDessoky, Yang Kuang. Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model. Mathematical Biosciences & Engineering, 2017, 14 (2) : 407420. doi: 10.3934/mbe.2017025 
[16] 
Jihong Zhao, Qiao Liu, Shangbin Cui. Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows. Communications on Pure & Applied Analysis, 2013, 12 (1) : 341357. doi: 10.3934/cpaa.2013.12.341 
[17] 
Xin Lai, Xinfu Chen, Mingxin Wang, Cong Qin, Yajing Zhang. Existence, uniqueness, and stability of bubble solutions of a chemotaxis model. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 805832. doi: 10.3934/dcds.2016.36.805 
[18] 
Joost Hulshof, Robert Nolet, Georg Prokert. Existence and linear stability of solutions of the ballistic VSC model. Discrete & Continuous Dynamical Systems  S, 2014, 7 (1) : 3551. doi: 10.3934/dcdss.2014.7.35 
[19] 
Junya Nishiguchi. On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay. Discrete & Continuous Dynamical Systems  A, 2016, 36 (10) : 56575679. doi: 10.3934/dcds.2016048 
[20] 
Yong Ren, Xuejuan Jia, Lanying Hu. Exponential stability of solutions to impulsive stochastic differential equations driven by $G$Brownian motion. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 21572169. doi: 10.3934/dcdsb.2015.20.2157 
2016 Impact Factor: 0.801
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