
Previous Article
Turbulence models, $p$fluid flows, and $W^{2, L}$ regularity of solutions
 CPAA Home
 This Issue

Next Article
A fractal quantum mechanical model with Coulomb potential
Mechanism of the formation of singularities for diagonal systems with linearly degenerate characteristic fields
1.  Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098, Jiangsu, China 
[1] 
Tatsien Li, Libin Wang. Global classical solutions to a kind of mixed initialboundary value problem for quasilinear hyperbolic systems. Discrete & Continuous Dynamical Systems, 2005, 12 (1) : 5978. doi: 10.3934/dcds.2005.12.59 
[2] 
Tatsien Li, Bopeng Rao, Zhiqiang Wang. A note on the oneside exact boundary controllability for quasilinear hyperbolic systems. Communications on Pure & Applied Analysis, 2009, 8 (1) : 405418. doi: 10.3934/cpaa.2009.8.405 
[3] 
Libin Wang. Breakdown of $C^1$ solution to the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Communications on Pure & Applied Analysis, 2003, 2 (1) : 7789. doi: 10.3934/cpaa.2003.2.77 
[4] 
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 
[5] 
Peng Jiang. Unique global solution of an initialboundary value problem to a diffusion approximation model in radiation hydrodynamics. Discrete & Continuous Dynamical Systems, 2015, 35 (7) : 30153037. doi: 10.3934/dcds.2015.35.3015 
[6] 
ZhiQiang Shao. Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems of diagonal form with large BV data. Communications on Pure & Applied Analysis, 2013, 12 (6) : 27392752. doi: 10.3934/cpaa.2013.12.2739 
[7] 
Martn P. Árciga Alejandre, Elena I. Kaikina. Mixed initialboundary value problem for OttSudanOstrovskiy equation. Discrete & Continuous Dynamical Systems, 2012, 32 (2) : 381409. doi: 10.3934/dcds.2012.32.381 
[8] 
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 
[9] 
Shaoyong Lai, Yong Hong Wu, Xu Yang. The global solution of an initial boundary value problem for the damped Boussinesq equation. Communications on Pure & Applied Analysis, 2004, 3 (2) : 319328. doi: 10.3934/cpaa.2004.3.319 
[10] 
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 
[11] 
Xianpeng Hu, Dehua Wang. The initialboundary value problem for the compressible viscoelastic flows. Discrete & Continuous Dynamical Systems, 2015, 35 (3) : 917934. doi: 10.3934/dcds.2015.35.917 
[12] 
Yi Zhou, Jianli Liu. The initialboundary value problem on a strip for the equation of timelike extremal surfaces. Discrete & Continuous Dynamical Systems, 2009, 23 (1&2) : 381397. doi: 10.3934/dcds.2009.23.381 
[13] 
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 
[14] 
Haifeng Hu, Kaijun Zhang. Analysis on the initialboundary value problem of a full bipolar hydrodynamic model for semiconductors. Discrete and Continuous Dynamical Systems  Series B, 2014, 19 (6) : 16011626. doi: 10.3934/dcdsb.2014.19.1601 
[15] 
Boling Guo, Jun Wu. Wellposedness of the initialboundary value problem for the fourthorder nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems  Series B, 2021 doi: 10.3934/dcdsb.2021205 
[16] 
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 
[17] 
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  Series B, 2019, 24 (7) : 32653280. doi: 10.3934/dcdsb.2018319 
[18] 
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 
[19] 
Yang Cao, Qiuting Zhao. Initial boundary value problem of a class of mixed pseudoparabolic Kirchhoff equations. Electronic Research Archive, , () : . doi: 10.3934/era.2021064 
[20] 
Vladimir V. Varlamov. On the initial boundary value problem for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems, 1998, 4 (3) : 431444. doi: 10.3934/dcds.1998.4.431 
2020 Impact Factor: 1.916
Tools
Metrics
Other articles
by authors
[Back to Top]