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Discrete & Continuous Dynamical Systems - S

December 2016 , Volume 9 , Issue 6

Issue dedicated to Professor Boling Guo on the occasion of his 80th birthday

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Zhouping Xin and Tong Yang
2016, 9(6): i-ii doi: 10.3934/dcdss.201606i +[Abstract](745) +[PDF](9733.8KB)
Initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection
Dongfen Bian
2016, 9(6): 1591-1611 doi: 10.3934/dcdss.2016065 +[Abstract](1233) +[PDF](451.0KB)
Sharp variational characterization and a Schrödinger equation with Hartree type nonlinearity
Jianqing Chen
2016, 9(6): 1613-1628 doi: 10.3934/dcdss.2016066 +[Abstract](1003) +[PDF](445.4KB)
The bifurcations of solitary and kink waves described by the Gardner equation
Yiren Chen and Zhengrong Liu
2016, 9(6): 1629-1645 doi: 10.3934/dcdss.2016067 +[Abstract](995) +[PDF](724.8KB)
Periodic solutions and homoclinic solutions for a Swift-Hohenberg equation with dispersion
Shengfu Deng
2016, 9(6): 1647-1662 doi: 10.3934/dcdss.2016068 +[Abstract](1003) +[PDF](414.6KB)
Existence of positive solutions for a class of Kirchhoff type equations in $\mathbb{R}^3$
Ling Ding and Shu-Ming Sun
2016, 9(6): 1663-1685 doi: 10.3934/dcdss.2016069 +[Abstract](1123) +[PDF](480.4KB)
Global existence and uniqueness of the solution for the fractional Schrödinger-KdV-Burgers system
Chunxiao Guo, Fan Cui and Yongqian Han
2016, 9(6): 1687-1699 doi: 10.3934/dcdss.2016070 +[Abstract](1071) +[PDF](372.6KB)
Approximation of random invariant manifolds for a stochastic Swift-Hohenberg equation
Yanfeng Guo, Jinqiao Duan and Donglong Li
2016, 9(6): 1701-1715 doi: 10.3934/dcdss.2016071 +[Abstract](1010) +[PDF](417.9KB)
Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum
Bingyuan Huang, Shijin Ding and Huanyao Wen
2016, 9(6): 1717-1752 doi: 10.3934/dcdss.2016072 +[Abstract](1170) +[PDF](596.6KB)
Global smooth solutions for the nonlinear Schrödinger equation with magnetic effect
Daiwen Huang and Jingjun Zhang
2016, 9(6): 1753-1773 doi: 10.3934/dcdss.2016073 +[Abstract](1166) +[PDF](478.6KB)
Periodic solutions of inhomogeneous Schrödinger flows into 2-sphere
Ping-Liang Huang and Youde Wang
2016, 9(6): 1775-1795 doi: 10.3934/dcdss.2016074 +[Abstract](849) +[PDF](434.7KB)
Global well-posedness for the 3D Zakharov-Kuznetsov equation in energy space $H^1$
Zhaohi Huo, Yueling Jia and Qiaoxin Li
2016, 9(6): 1797-1851 doi: 10.3934/dcdss.2016075 +[Abstract](1198) +[PDF](709.7KB)
Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows
Fei Jiang, Song Jiang and Weiwei Wang
2016, 9(6): 1853-1898 doi: 10.3934/dcdss.2016076 +[Abstract](1135) +[PDF](797.1KB)
A global existence and blow-up threshold for Davey-Stewartson equations in $\mathbb{R}^3$
Shiming Li, Yongsheng Li and Wei Yan
2016, 9(6): 1899-1912 doi: 10.3934/dcdss.2016077 +[Abstract](1005) +[PDF](424.3KB)
Well-posedness for the three-dimensional compressible liquid crystal flows
Xiaoli Li and Boling Guo
2016, 9(6): 1913-1937 doi: 10.3934/dcdss.2016078 +[Abstract](807) +[PDF](523.5KB)
Existence, regularity and approximation of global attractors for weakly dissipative p-Laplace equations
Yangrong Li and Jinyan Yin
2016, 9(6): 1939-1957 doi: 10.3934/dcdss.2016079 +[Abstract](1049) +[PDF](467.3KB)
Existence and multiplicity of positive solutions for a class of Kirchhoff type problems at resonance
Jiafeng Liao, Peng Zhang, Jiu Liu and Chunlei Tang
2016, 9(6): 1959-1974 doi: 10.3934/dcdss.2016080 +[Abstract](1133) +[PDF](417.1KB)
The algebraic representation for high order solution of Sasa-Satsuma equation
Liming Ling
2016, 9(6): 1975-2010 doi: 10.3934/dcdss.2016081 +[Abstract](954) +[PDF](841.5KB)
Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure
Cheng-Jie Liu, Ya-Guang Wang and Tong Yang
2016, 9(6): 2011-2029 doi: 10.3934/dcdss.2016082 +[Abstract](1066) +[PDF](482.6KB)
Second-order slip flow of a generalized Oldroyd-B fluid through porous medium
Yaqing Liu and Liancun Zheng
2016, 9(6): 2031-2046 doi: 10.3934/dcdss.2016083 +[Abstract](1061) +[PDF](683.2KB)
On the Cauchy problem of the modified Hunter-Saxton equation
Yongsheng Mi, Chunlai Mu and Pan Zheng
2016, 9(6): 2047-2072 doi: 10.3934/dcdss.2016084 +[Abstract](1209) +[PDF](487.9KB)
Scattering theory for energy-supercritical Klein-Gordon equation
Changxing Miao and Jiqiang Zheng
2016, 9(6): 2073-2094 doi: 10.3934/dcdss.2016085 +[Abstract](1123) +[PDF](550.9KB)
Quasineutral limit of the Euler-Poisson system under strong magnetic fields
Xueke Pu
2016, 9(6): 2095-2111 doi: 10.3934/dcdss.2016086 +[Abstract](847) +[PDF](449.1KB)
The regularization of solution for the coupled Navier-Stokes and Maxwell equations
Wenjing Song and Ganshan Yang
2016, 9(6): 2113-2127 doi: 10.3934/dcdss.2016087 +[Abstract](1006) +[PDF](405.6KB)
Global exact controllability and asympotic stabilization of the periodic two-component $\mu\rho$-Hunter-Saxton system
Jingqun Wang, Lixin Tian and Weiwei Guo
2016, 9(6): 2129-2148 doi: 10.3934/dcdss.2016088 +[Abstract](900) +[PDF](508.3KB)
Wave breaking and persistent decay of solution to a shallow water wave equation
Xue Yang and Xinglong Wu
2016, 9(6): 2149-2165 doi: 10.3934/dcdss.2016089 +[Abstract](1074) +[PDF](415.9KB)
Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space
Baoquan Yuan and Xiao Li
2016, 9(6): 2167-2179 doi: 10.3934/dcdss.2016090 +[Abstract](1319) +[PDF](433.5KB)
Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations
Linghai Zhang
2016, 9(6): 2181-2200 doi: 10.3934/dcdss.2016091 +[Abstract](953) +[PDF](373.9KB)
Analytical solutions of Skyrme model
Ruifeng Zhang, Nan Liu and Man An
2016, 9(6): 2201-2211 doi: 10.3934/dcdss.2016092 +[Abstract](883) +[PDF](374.3KB)

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