American Institute of Mathematical Sciences

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Discrete & Continuous Dynamical Systems - B

June 2018 , Volume 23 , Issue 4

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On optimal controls in coefficients for ill-posed non-Linear elliptic Dirichlet boundary value problems

Olha P. Kupenko and Rosanna Manzo

2018, 23(4): 1363-1393 doi: 10.3934/dcdsb.2018155 +[Abstract](1010) +[HTML](144) +[PDF](599.55KB)

Well-posedness in critical spaces for a multi-dimensional compressible viscous liquid-gas two-phase flow model

Haibo Cui, Qunyi Bie and Zheng-An Yao

2018, 23(4): 1395-1410 doi: 10.3934/dcdsb.2018156 +[Abstract](1027) +[HTML](156) +[PDF](459.69KB)

Global analysis of strong solutions for the viscous liquid-gas two-phase flow model in a bounded domain

Guochun Wu and Yinghui Zhang

2018, 23(4): 1411-1429 doi: 10.3934/dcdsb.2018157 +[Abstract](920) +[HTML](147) +[PDF](439.63KB)

A time-delay in the activator kinetics enhances the stability of a spike solution to the gierer-meinhardt model

Nabil T. Fadai, Michael J. Ward and Juncheng Wei

2018, 23(4): 1431-1458 doi: 10.3934/dcdsb.2018158 +[Abstract](1202) +[HTML](166) +[PDF](752.47KB)

Convergence of a finite volume scheme for a stochastic conservation law involving a $Q$-brownian motion

Tadahisa Funaki, Yueyuan Gao and Danielle Hilhorst

2018, 23(4): 1459-1502 doi: 10.3934/dcdsb.2018159 +[Abstract](1153) +[HTML](160) +[PDF](665.68KB)

An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems

Chiun-Chuan Chen and Li-Chang Hung

2018, 23(4): 1503-1521 doi: 10.3934/dcdsb.2018054 +[Abstract](1197) +[HTML](293) +[PDF](720.55KB)

Time fractional and space nonlocal stochastic boussinesq equations driven by gaussian white noise

Tianlong Shen, Jianhua Huang and Caibin Zeng

2018, 23(4): 1523-1533 doi: 10.3934/dcdsb.2018056 +[Abstract](1356) +[HTML](285) +[PDF](397.0KB)

Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE

Yangrong Li, Lianbing She and Jinyan Yin

2018, 23(4): 1535-1557 doi: 10.3934/dcdsb.2018058 +[Abstract](1123) +[HTML](280) +[PDF](489.11KB)

Dynamics of a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity

Shuling Yan and Shangjiang Guo

2018, 23(4): 1559-1579 doi: 10.3934/dcdsb.2018059 +[Abstract](1393) +[HTML](299) +[PDF](587.67KB)

Two codimension-two bifurcations of a second-order difference equation from macroeconomics

Jiyu Zhong and Shengfu Deng

2018, 23(4): 1581-1600 doi: 10.3934/dcdsb.2018062 +[Abstract](1395) +[HTML](275) +[PDF](723.32KB)

Palindromic control and mirror symmetries in finite difference discretizations of 1-D Schrödinger equations

Katherine A. Kime

2018, 23(4): 1601-1621 doi: 10.3934/dcdsb.2018063 +[Abstract](1208) +[HTML](325) +[PDF](432.54KB)

Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: Analysis without electroneutrality boundary conditions

Hong Lu, Ji Li, Joseph Shackelford, Jeremy Vorenberg and Mingji Zhang

2018, 23(4): 1623-1643 doi: 10.3934/dcdsb.2018064 +[Abstract](1269) +[HTML](314) +[PDF](709.89KB)

Dynamics for the damped wave equations on time-dependent domains

Feng Zhou, Chunyou Sun and Xin Li

2018, 23(4): 1645-1674 doi: 10.3934/dcdsb.2018068 +[Abstract](1649) +[HTML](400) +[PDF](619.97KB)

Boundedness and global solvability to a chemotaxis-haptotaxis model with slow and fast diffusion

Chunhua Jin

2018, 23(4): 1675-1688 doi: 10.3934/dcdsb.2018069 +[Abstract](1734) +[HTML](458) +[PDF](434.52KB)

Asymptotic behavior of random fitzhugh-nagumo systems driven by colored noise

Anhui Gu and Bixiang Wang

2018, 23(4): 1689-1720 doi: 10.3934/dcdsb.2018072 +[Abstract](1710) +[HTML](922) +[PDF](550.74KB)

Dynamics of a diffusive prey-predator system with strong Allee effect growth rate and a protection zone for the prey

Na Min and Mingxin Wang

2018, 23(4): 1721-1737 doi: 10.3934/dcdsb.2018073 +[Abstract](1968) +[HTML](507) +[PDF](391.76KB)

Laplace-Beltrami operator for the heat conduction in polymer coating of electronic devices

Micol Amar and Roberto Gianni

2018, 23(4): 1739-1756 doi: 10.3934/dcdsb.2018078 +[Abstract](1073) +[HTML](221) +[PDF](584.91KB)

A regularity criterion for the 3D full compressible magnetohydrodynamic equations with zero heat conductivity

Jishan Fan, Fucai Li and Gen Nakamura

2018, 23(4): 1757-1766 doi: 10.3934/dcdsb.2018079 +[Abstract](778) +[HTML](194) +[PDF](346.78KB)

Nonlocal elliptic system arising from the growth of cancer stem cells

Manuel Delgado, Ítalo Bruno Mendes Duarte and Antonio Suárez Fernández

2018, 23(4): 1767-1795 doi: 10.3934/dcdsb.2018083 +[Abstract](954) +[HTML](212) +[PDF](641.08KB)

Parking 3-sphere swimmer I. Energy minimizing strokes

François Alouges and Giovanni Di Fratta

2018, 23(4): 1797-1817 doi: 10.3934/dcdsb.2018085 +[Abstract](793) +[HTML](197) +[PDF](1059.04KB)

Singular perturbed renormalization group theory and its application to highly oscillatory problems

Wenlei Li and Shaoyun Shi

2018, 23(4): 1819-1833 doi: 10.3934/dcdsb.2018089 +[Abstract](912) +[HTML](214) +[PDF](404.83KB)

Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation

Peter Giesl and James McMichen

2018, 23(4): 1835-1850 doi: 10.3934/dcdsb.2018094 +[Abstract](983) +[HTML](208) +[PDF](473.43KB)

Stability and robustness analysis for a multispecies chemostat model with delays in the growth rates and uncertainties

Frederic Mazenc, Gonzalo Robledo and Michael Malisoff

2018, 23(4): 1851-1872 doi: 10.3934/dcdsb.2018098 +[Abstract](1180) +[HTML](253) +[PDF](550.22KB)