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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 
[1] 
Ming Mei, Yau Shu Wong, Liping Liu. Phase transitions in a coupled viscoelastic system with periodic initialboundary condition: (I) Existence and uniform boundedness. Discrete & 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 & Continuous Dynamical Systems  A, 2005, 12 (1) : 5978. doi: 10.3934/dcds.2005.12.59 
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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 & Continuous Dynamical Systems  A, 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 & 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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  A, 2012, 32 (2) : 381409. doi: 10.3934/dcds.2012.32.381 
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Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete & Continuous Dynamical Systems  A, 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 
[10] 
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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Türker Özsarı, Nermin Yolcu. The initialboundary value problem for the biharmonic Schrödinger equation on the halfline. Communications on Pure & Applied Analysis, 2019, 18 (6) : 32853316. doi: 10.3934/cpaa.2019148 
[12] 
Linglong Du, Caixuan Ren. Pointwise wave behavior of the initialboundary value problem for the nonlinear damped wave equation in $\mathbb{R}_{+}^{n} $. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 32653280. doi: 10.3934/dcdsb.2018319 
[13] 
ByungHoon Hwang, SeokBae Yun. Stationary solutions to the boundary value problem for the relativistic BGK model in a slab. Kinetic & Related Models, 2019, 12 (4) : 749764. doi: 10.3934/krm.2019029 
[14] 
Francesca Marcellini. Existence of solutions to a boundary value problem for a phase transition traffic model. Networks & Heterogeneous Media, 2017, 12 (2) : 259275. doi: 10.3934/nhm.2017011 
[15] 
Anya Désilles, Hélène Frankowska. Explicit construction of solutions to the Burgers equation with discontinuous initialboundary conditions. Networks & Heterogeneous Media, 2013, 8 (3) : 727744. doi: 10.3934/nhm.2013.8.727 
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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 & Applied Analysis, 2015, 14 (3) : 759792. doi: 10.3934/cpaa.2015.14.759 
[17] 
Vladimir V. Varlamov. On the initial boundary value problem for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 1998, 4 (3) : 431444. doi: 10.3934/dcds.1998.4.431 
[18] 
V. A. Dougalis, D. E. Mitsotakis, J.C. Saut. On initialboundary value problems for a Boussinesq system of BBMBBM type in a plane domain. Discrete & Continuous Dynamical Systems  A, 2009, 23 (4) : 11911204. doi: 10.3934/dcds.2009.23.1191 
[19] 
ShouFu Tian. Initialboundary value problems for the coupled modified Kortewegde Vries equation on the interval. Communications on Pure & Applied Analysis, 2018, 17 (3) : 923957. doi: 10.3934/cpaa.2018046 
[20] 
Runzhang Xu, Mingyou Zhang, Shaohua Chen, Yanbing Yang, Jihong Shen. The initialboundary value problems for a class of sixth order nonlinear wave equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (11) : 56315649. doi: 10.3934/dcds.2017244 
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