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AIMS joins the mathematics community worldwide in congratulating ProfessorAlessio Figalli on being awarded the Fields Medal 2018. Professor Figallihas made important contributions to AIMS journals and conferences. Heserved as the Managing Editor of Discrete and Continuous Dynamical Systemsfrom 2012 to 2016 and delivered a plenary lecture at the 11th AIMSconference (2016) in Orlando, USA. Details can be found at  http://aimsciences.org/conferences/2016/2016_speakers.html

Congratulations, Alessio!


DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.

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Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem
Mikaela Iacobelli
2019, 39(9) : 4929-4943 doi: 10.3934/dcds.2019201 +[Abstract](457) +[HTML](171) +[PDF](310.27KB)
Kato's type theorems for the convergence of Euler-Voigt equations to Euler equations with Drichlet boundary conditions
Aibin Zang
2019, 39(9) : 4945-4953 doi: 10.3934/dcds.2019202 +[Abstract](370) +[HTML](145) +[PDF](298.14KB)
Statistical properties of one-dimensional expanding maps with singularities of low regularity
Jianyu Chen and Hong-Kun Zhang
2019, 39(9) : 4955-4977 doi: 10.3934/dcds.2019203 +[Abstract](329) +[HTML](157) +[PDF](538.6KB)
Moments and regularity for a Boltzmann equation via Wigner transform
Thomas Chen, Ryan Denlinger and Nataša Pavlović
2019, 39(9) : 4979-5015 doi: 10.3934/dcds.2019204 +[Abstract](31638) +[HTML](128) +[PDF](498.73KB)
Nonlinear stability of pulse solutions for the discrete FitzHugh-Nagumo equation with infinite-range interactions
Willem M. Schouten-Straatman and Hermen Jan Hupkes
2019, 39(9) : 5017-5083 doi: 10.3934/dcds.2019205 +[Abstract](304) +[HTML](196) +[PDF](789.61KB)
Shifts of finite type and random substitutions
Philipp Gohlke, Dan Rust and Timo Spindeler
2019, 39(9) : 5085-5103 doi: 10.3934/dcds.2019206 +[Abstract](239) +[HTML](133) +[PDF](377.43KB)
On absolutely continuous curves of probabilities on the line
Adrian Tudorascu
2019, 39(9) : 5105-5124 doi: 10.3934/dcds.2019207 +[Abstract](241) +[HTML](136) +[PDF](365.31KB)
Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary
Ángela Jiménez-Casas and Aníbal Rodríguez-Bernal
2019, 39(9) : 5125-5147 doi: 10.3934/dcds.2019208 +[Abstract](227) +[HTML](156) +[PDF](409.22KB)
Dispersion relations for steady periodic water waves of fixed mean-depth with two rotational layers
Calin Iulian Martin and Adrián Rodríguez-Sanjurjo
2019, 39(9) : 5149-5169 doi: 10.3934/dcds.2019209 +[Abstract](226) +[HTML](139) +[PDF](446.01KB)
Nonhydrostatic Pollard-like internal geophysical waves
Mateusz Kluczek
2019, 39(9) : 5171-5183 doi: 10.3934/dcds.2019210 +[Abstract](241) +[HTML](130) +[PDF](357.19KB)
Escape quartered theorem and the connectivity of the Julia sets of a family of rational maps
Youming Wang, Fei Yang, Song Zhang and Liangwen Liao
2019, 39(9) : 5185-5206 doi: 10.3934/dcds.2019211 +[Abstract](221) +[HTML](173) +[PDF](817.06KB)
On attainability of Moser-Trudinger inequality with logarithmic weights in higher dimensions
Prosenjit Roy
2019, 39(9) : 5207-5222 doi: 10.3934/dcds.2019212 +[Abstract](270) +[HTML](132) +[PDF](383.8KB)
Asymptotic spreading speed for the weak competition system with a free boundary
Zhiguo Wang, Hua Nie and Yihong Du
2019, 39(9) : 5223-5262 doi: 10.3934/dcds.2019213 +[Abstract](260) +[HTML](134) +[PDF](522.24KB)
Asymptotic behaviors of ground states for a modified Gross-Pitaevskii equation
Xiaoyu Zeng and Yimin Zhang
2019, 39(9) : 5263-5273 doi: 10.3934/dcds.2019214 +[Abstract](282) +[HTML](127) +[PDF](365.85KB)
Saddle-node of limit cycles in planar piecewise linear systems and applications
Victoriano Carmona, Soledad Fernández-García and Antonio E. Teruel
2019, 39(9) : 5275-5299 doi: 10.3934/dcds.2019215 +[Abstract](630) +[HTML](191) +[PDF](1115.98KB)
Topological characteristic factors along cubes of minimal systems
Fangzhou Cai and Song Shao
2019, 39(9) : 5301-5317 doi: 10.3934/dcds.2019216 +[Abstract](210) +[HTML](128) +[PDF](378.24KB)
Transcendental entire functions whose Julia sets contain any infinite collection of quasiconformal copies of quadratic Julia sets
Koh Katagata
2019, 39(9) : 5319-5337 doi: 10.3934/dcds.2019217 +[Abstract](219) +[HTML](131) +[PDF](410.68KB)
Converse theorem on a global contraction metric for a periodic orbit
Peter Giesl
2019, 39(9) : 5339-5363 doi: 10.3934/dcds.2019218 +[Abstract](234) +[HTML](124) +[PDF](443.84KB)
On the logarithmic Keller-Segel-Fisher/KPP system
Yanni Zeng and Kun Zhao
2019, 39(9) : 5365-5402 doi: 10.3934/dcds.2019220 +[Abstract](269) +[HTML](134) +[PDF](479.97KB)
Stochastic homogenization for a diffusion-reaction model
Hakima Bessaih, Yalchin Efendiev and Razvan Florian Maris
2019, 39(9) : 5403-5429 doi: 10.3934/dcds.2019221 +[Abstract](223) +[HTML](120) +[PDF](456.59KB)
$ L^1 $ estimates for oscillating integrals and their applications to semi-linear models with $ \sigma $-evolution like structural damping
Tuan Anh Dao and Michael Reissig
2019, 39(9) : 5431-5463 doi: 10.3934/dcds.2019222 +[Abstract](236) +[HTML](123) +[PDF](524.85KB)
Emergence of anomalous flocking in the fractional Cucker-Smale model
Seung-Yeal Ha, Jinwook Jung and Peter Kuchling
2019, 39(9) : 5465-5489 doi: 10.3934/dcds.2019223 +[Abstract](371) +[HTML](133) +[PDF](1975.2KB)
Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics
Iacopo P. Longo, Sylvia Novo and Rafael Obaya
2019, 39(9) : 5491-5520 doi: 10.3934/dcds.2019224 +[Abstract](248) +[HTML](117) +[PDF](456.12KB)
Effects of vorticity on the travelling waves of some shallow water two-component systems
Denys Dutykh and Delia Ionescu-Kruse
2019, 39(9) : 5521-5541 doi: 10.3934/dcds.2019225 +[Abstract](236) +[HTML](128) +[PDF](887.65KB)
A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation
Michiel Bertsch, Danielle Hilhorst, Hirofumi Izuhara, Masayasu Mimura and Tohru Wakasa
2019doi: 10.3934/dcds.2019226 +[Abstract](279) +[HTML](123) +[PDF](479.3KB)
Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms
Yunfeng Jia, Yi Li, Jianhua Wu and Hong-Kun Xu
2019doi: 10.3934/dcds.2019227 +[Abstract](234) +[HTML](112) +[PDF](399.3KB)
Nondegeneracy of harmonic maps from $ {{\mathbb{R}}^{2}} $ to $ {{\mathbb{S}}^{2}} $
Guoyuan Chen, Yong Liu and Juncheng Wei
2019doi: 10.3934/dcds.2019228 +[Abstract](199) +[HTML](104) +[PDF](370.56KB)
Large time behavior of ODE type solutions to nonlinear diffusion equations
Junyong Eom and Kazuhiro Ishige
2019doi: 10.3934/dcds.2019229 +[Abstract](225) +[HTML](97) +[PDF](359.7KB)
Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature
Tianwen Luo, Tao Tao and Liqun Zhang
2019doi: 10.3934/dcds.2019230 +[Abstract](178) +[HTML](101) +[PDF](431.74KB)
Minimizers of the $ p $-oscillation functional
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga and Enrico Valdinoci
2019doi: 10.3934/dcds.2019231 +[Abstract](194) +[HTML](106) +[PDF](307.34KB)
Superfluids passing an obstacle and vortex nucleation
Fanghua Lin and Juncheng Wei
2019doi: 10.3934/dcds.2019232 +[Abstract](185) +[HTML](117) +[PDF](444.76KB)
Free boundary problems associated with cancer treatment by combination therapy
Avner Friedman and Xiulan Lai
2019doi: 10.3934/dcds.2019233 +[Abstract](229) +[HTML](106) +[PDF](427.96KB)
Homogenization of the boundary value for the Dirichlet problem
Sunghan Kim, Ki-Ahm Lee and Henrik Shahgholian
2019doi: 10.3934/dcds.2019234 +[Abstract](208) +[HTML](109) +[PDF](444.4KB)
Regularity results for the equation $ u_{11}u_{22} = 1 $
Connor Mooney and Ovidiu Savin
2019doi: 10.3934/dcds.2019235 +[Abstract](179) +[HTML](89) +[PDF](309.52KB)
Soap films with gravity and almost-minimal surfaces
Francesco Maggi, Salvatore Stuvard and Antonello Scardicchio
2019doi: 10.3934/dcds.2019236 +[Abstract](214) +[HTML](110) +[PDF](631.82KB)
Blow-up for the 3-dimensional axially symmetric harmonic map flow into $ S^2 $
Juan Dávila, Manuel Del Pino, Catalina Pesce and Juncheng Wei
2019doi: 10.3934/dcds.2019237 +[Abstract](193) +[HTML](103) +[PDF](431.04KB)
On global solutions to semilinear elliptic equations related to the one-phase free boundary problem
Xavier Fernández-Real and Xavier Ros-Oton
2019doi: 10.3934/dcds.2019238 +[Abstract](199) +[HTML](102) +[PDF](434.59KB)
Recent progresses on elliptic two-phase free boundary problems
Daniela De Silva, Fausto Ferrari and Sandro Salsa
2019doi: 10.3934/dcds.2019239 +[Abstract](197) +[HTML](126) +[PDF](347.91KB)
The method of energy channels for nonlinear wave equations
Carlos E. Kenig
2019doi: 10.3934/dcds.2019240 +[Abstract](217) +[HTML](141) +[PDF](358.72KB)
A nondegeneracy condition for a semilinear elliptic system and the existence of 1- bump solutions
Piero Montecchiari and Paul H. Rabinowitz
2019doi: 10.3934/dcds.2019241 +[Abstract](215) +[HTML](149) +[PDF](405.55KB)
Remarks on some minimization problems associated with BV norms
Haïm Brezis
2019doi: 10.3934/dcds.2019242 +[Abstract](276) +[HTML](123) +[PDF](182.92KB)
The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals
Guido De Philippis, Antonio De Rosa and Jonas Hirsch
2019doi: 10.3934/dcds.2019243 +[Abstract](199) +[HTML](111) +[PDF](409.0KB)
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Joachim Escher, Olaf Lechtenfeld and Zhaoyang Yin
2007, 19(3) : 493-513 doi: 10.3934/dcds.2007.19.493 +[Abstract](3075) +[PDF](233.8KB) Cited By(162)
Global attractors for damped semilinear wave equations
John M. Ball
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Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
Xiaoyue Li and Xuerong Mao
2009, 24(2) : 523-545 doi: 10.3934/dcds.2009.24.523 +[Abstract](3992) +[PDF](262.8KB) Cited By(142)
Remarks on regularities for the 3D MHD equations
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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](3332) +[PDF](382.7KB) Cited By(133)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
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Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$
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BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Zhen Lei and Yi Zhou
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Global stability for damped Timoshenko systems
J.E. Muñoz Rivera and Reinhard Racke
2003, 9(6) : 1625-1639 doi: 10.3934/dcds.2003.9.1625 +[Abstract](2360) +[PDF](167.1KB) Cited By(76)
Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces
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Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
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Traveling wave solutions of a highly nonlinear shallow water equation
Anna Geyer and Ronald Quirchmayr
2018, 38(3) : 1567-1604 doi: 10.3934/dcds.2018065 +[Abstract](3744) +[HTML](1810) +[PDF](12373.99KB) PDF Downloads(312)
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Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus
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Some questions looking for answers in dynamical systems
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Classification for positive solutions of degenerate elliptic system
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Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
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