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Discrete & Continuous Dynamical Systems - A

March 2016 , Volume 36 , Issue 3

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An improved Hardy inequality for a nonlocal operator
Boumediene Abdellaoui and Fethi Mahmoudi
2016, 36(3): 1143-1157 doi: 10.3934/dcds.2016.36.1143 +[Abstract](1466) +[PDF](456.7KB)
Pure discrete spectrum for a class of one-dimensional substitution tiling systems
Marcy Barge
2016, 36(3): 1159-1173 doi: 10.3934/dcds.2016.36.1159 +[Abstract](1003) +[PDF](422.0KB)
Particle approximation of the one dimensional Keller-Segel equation, stability and rigidity of the blow-up
Vincent Calvez and Thomas O. Gallouët
2016, 36(3): 1175-1208 doi: 10.3934/dcds.2016.36.1175 +[Abstract](1100) +[PDF](1638.1KB)
Nonlocal-interaction equations on uniformly prox-regular sets
José A. Carrillo, Dejan Slepčev and Lijiang Wu
2016, 36(3): 1209-1247 doi: 10.3934/dcds.2016.36.1209 +[Abstract](1108) +[PDF](647.9KB)
The $\beta$-transformation with a hole
Lyndsey Clark
2016, 36(3): 1249-1269 doi: 10.3934/dcds.2016.36.1249 +[Abstract](913) +[PDF](578.7KB)
Rigidity of Hamenstädt metrics of Anosov flows
Yong Fang
2016, 36(3): 1271-1278 doi: 10.3934/dcds.2016.36.1271 +[Abstract](885) +[PDF](358.0KB)
Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions
Ciprian G. Gal and Mahamadi Warma
2016, 36(3): 1279-1319 doi: 10.3934/dcds.2016.36.1279 +[Abstract](1533) +[PDF](692.1KB)
Wandering continua for rational maps
Guizhen Cui and Yan Gao
2016, 36(3): 1321-1329 doi: 10.3934/dcds.2016.36.1321 +[Abstract](1006) +[PDF](194.7KB)
Asymptotic stability of non-monotone traveling waves for time-delayed nonlocal dispersion equations
Rui Huang, Ming Mei, Kaijun Zhang and Qifeng Zhang
2016, 36(3): 1331-1353 doi: 10.3934/dcds.2016.36.1331 +[Abstract](1130) +[PDF](483.3KB)
Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations
François James and Nicolas Vauchelet
2016, 36(3): 1355-1382 doi: 10.3934/dcds.2016.36.1355 +[Abstract](834) +[PDF](546.2KB)
Passive scalars, moving boundaries, and Newton's law of cooling
Juhi Jang and Ian Tice
2016, 36(3): 1383-1413 doi: 10.3934/dcds.2016.36.1383 +[Abstract](961) +[PDF](522.5KB)
Effective boundary conditions of the heat equation on a body coated by functionally graded material
Huicong Li
2016, 36(3): 1415-1430 doi: 10.3934/dcds.2016.36.1415 +[Abstract](862) +[PDF](499.5KB)
Positive solutions of a nonlinear Schrödinger system with nonconstant potentials
Haidong Liu and Zhaoli Liu
2016, 36(3): 1431-1464 doi: 10.3934/dcds.2016.36.1431 +[Abstract](1101) +[PDF](573.5KB)
Young towers for product systems
Stefano Luzzatto and Marks Ruziboev
2016, 36(3): 1465-1491 doi: 10.3934/dcds.2016.36.1465 +[Abstract](1015) +[PDF](828.5KB)
One smoothing property of the scattering map of the KdV on $\mathbb{R}$
Alberto Maspero and Beat Schaad
2016, 36(3): 1493-1537 doi: 10.3934/dcds.2016.36.1493 +[Abstract](989) +[PDF](724.1KB)
On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid
Šárka Nečasová and Joerg Wolf
2016, 36(3): 1539-1562 doi: 10.3934/dcds.2016.36.1539 +[Abstract](1080) +[PDF](560.1KB)
Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data
Yuming Qin, Yang Wang, Xing Su and Jianlin Zhang
2016, 36(3): 1563-1581 doi: 10.3934/dcds.2016.36.1563 +[Abstract](1281) +[PDF](445.5KB)
Large-time behavior of the full compressible Euler-Poisson system without the temperature damping
Zhong Tan, Yong Wang and Fanhui Xu
2016, 36(3): 1583-1601 doi: 10.3934/dcds.2016.36.1583 +[Abstract](1323) +[PDF](473.5KB)
Infinitely many solutions for an elliptic problem with double critical Hardy-Sobolev-Maz'ya terms
Chunhua Wang and Jing Yang
2016, 36(3): 1603-1628 doi: 10.3934/dcds.2016.36.1603 +[Abstract](1094) +[PDF](573.4KB)
On the shape Conley index theory of semiflows on complete metric spaces
Jintao Wang, Desheng Li and Jinqiao Duan
2016, 36(3): 1629-1647 doi: 10.3934/dcds.2016.36.1629 +[Abstract](1092) +[PDF](1933.8KB)
Lipschitz dependence of viscosity solutions of Hamilton-Jacobi equations with respect to the parameter
Kaizhi Wang and Jun Yan
2016, 36(3): 1649-1659 doi: 10.3934/dcds.2016.36.1649 +[Abstract](1021) +[PDF](420.4KB)
The regularity of sonic curves for the two-dimensional Riemann problems of the nonlinear wave system of Chaplygin gas
Qin Wang and Kyungwoo Song
2016, 36(3): 1661-1675 doi: 10.3934/dcds.2016.36.1661 +[Abstract](857) +[PDF](474.0KB)
On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems
Xiaocai Wang, Junxiang Xu and Dongfeng Zhang
2016, 36(3): 1677-1692 doi: 10.3934/dcds.2016.36.1677 +[Abstract](1022) +[PDF](428.1KB)
Structurally stable homoclinic classes
Xiao Wen
2016, 36(3): 1693-1707 doi: 10.3934/dcds.2016.36.1693 +[Abstract](901) +[PDF](377.2KB)
Global solutions of two coupled Maxwell systems in the temporal gauge
Jianjun Yuan
2016, 36(3): 1709-1719 doi: 10.3934/dcds.2016.36.1709 +[Abstract](871) +[PDF](370.9KB)
A Liouville theorem for $\alpha$-harmonic functions in $\mathbb{R}^n_+$
Lizhi Zhang, Congming Li, Wenxiong Chen and Tingzhi Cheng
2016, 36(3): 1721-1736 doi: 10.3934/dcds.2016.36.1721 +[Abstract](1115) +[PDF](396.7KB)
On the boundedness and decay of solutions for a chemotaxis-haptotaxis system with nonlinear diffusion
Pan Zheng, Chunlai Mu and Xiaojun Song
2016, 36(3): 1737-1757 doi: 10.3934/dcds.2016.36.1737 +[Abstract](1131) +[PDF](485.8KB)

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