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Phase transitions in a coupled viscoelastic system with periodic initialboundary condition: (I) Existence and uniform boundedness
Phase transitions in a coupled viscoelastic system with periodic initialboundary condition: (II) Convergence
1.  Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 2K6 
2.  Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada 
3.  Department of Mathematics, University of TexasPan American, Edinburg, TX 785392999 
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Ming Mei, Yau Shu Wong, Liping Liu. Phase transitions in a coupled viscoelastic system with periodic initialboundary condition: (I) Existence and uniform boundedness. Discrete and Continuous Dynamical Systems  B, 2007, 7 (4) : 825837. doi: 10.3934/dcdsb.2007.7.825 
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Tatsien Li, Libin Wang. Global classical solutions to a kind of mixed initialboundary value problem for quasilinear hyperbolic systems. Discrete and Continuous Dynamical Systems, 2005, 12 (1) : 5978. doi: 10.3934/dcds.2005.12.59 
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Peicheng Zhu, Lei Yu, Yang Xiang. Weak solutions to an initialboundary value problem for a continuum equation of motion of grain boundaries. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022139 
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Gilles Carbou, Bernard Hanouzet. Relaxation approximation of the Kerr model for the impedance initialboundary value problem. Conference Publications, 2007, 2007 (Special) : 212220. doi: 10.3934/proc.2007.2007.212 
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Xianpeng Hu, Dehua Wang. The initialboundary value problem for the compressible viscoelastic flows. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 917934. doi: 10.3934/dcds.2015.35.917 
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Xiaoyun Cai, Liangwen Liao, Yongzhong Sun. Global strong solution to the initialboundary value problem of a 2D KazhikhovSmagulov type model. Discrete and Continuous Dynamical Systems  S, 2014, 7 (5) : 917923. doi: 10.3934/dcdss.2014.7.917 
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Yi Zhou, Jianli Liu. The initialboundary value problem on a strip for the equation of timelike extremal surfaces. Discrete and Continuous Dynamical Systems, 2009, 23 (1&2) : 381397. doi: 10.3934/dcds.2009.23.381 
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Martn P. Árciga Alejandre, Elena I. Kaikina. Mixed initialboundary value problem for OttSudanOstrovskiy equation. Discrete and Continuous Dynamical Systems, 2012, 32 (2) : 381409. doi: 10.3934/dcds.2012.32.381 
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Türker Özsarı, Nermin Yolcu. The initialboundary value problem for the biharmonic Schrödinger equation on the halfline. Communications on Pure and Applied Analysis, 2019, 18 (6) : 32853316. doi: 10.3934/cpaa.2019148 
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Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 30153037. doi: 10.3934/dcds.2015.35.3015 
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Michal Beneš. Mixed initialboundary value problem for the threedimensional NavierStokes equations in polyhedral domains. Conference Publications, 2011, 2011 (Special) : 135144. doi: 10.3934/proc.2011.2011.135 
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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 
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Boling Guo, Jun Wu. Wellposedness of the initialboundary value problem for the fourthorder nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 37493778. doi: 10.3934/dcdsb.2021205 
[14] 
Xu Liu, Jun Zhou. Initialboundary value problem for a fourthorder plate equation with HardyHénon potential and polynomial nonlinearity. Electronic Research Archive, 2020, 28 (2) : 599625. doi: 10.3934/era.2020032 
[15] 
Linglong Du, Caixuan Ren. Pointwise wave behavior of the initialboundary value problem for the nonlinear damped wave equation in $\mathbb{R}_{+}^{n} $. Discrete and Continuous Dynamical Systems  B, 2019, 24 (7) : 32653280. doi: 10.3934/dcdsb.2018319 
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ByungHoon Hwang, SeokBae Yun. Stationary solutions to the boundary value problem for the relativistic BGK model in a slab. Kinetic and Related Models, 2019, 12 (4) : 749764. doi: 10.3934/krm.2019029 
[17] 
Francesca Marcellini. Existence of solutions to a boundary value problem for a phase transition traffic model. Networks and Heterogeneous Media, 2017, 12 (2) : 259275. doi: 10.3934/nhm.2017011 
[18] 
Anya Désilles, Hélène Frankowska. Explicit construction of solutions to the Burgers equation with discontinuous initialboundary conditions. Networks and Heterogeneous Media, 2013, 8 (3) : 727744. doi: 10.3934/nhm.2013.8.727 
[19] 
ZhiQiang Shao. Lifespan of classical discontinuous solutions to the generalized nonlinear initialboundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities. Communications on Pure and Applied Analysis, 2015, 14 (3) : 759792. doi: 10.3934/cpaa.2015.14.759 
[20] 
Amru Hussein, Martin Saal, Marc Wrona. Primitive equations with horizontal viscosity: The initial value and The timeperiodic problem for physical boundary conditions. Discrete and Continuous Dynamical Systems, 2021, 41 (7) : 30633092. doi: 10.3934/dcds.2020398 
2021 Impact Factor: 1.497
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