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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.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
Cleopatra Christoforou, Myrto Galanopoulou and Athanasios E. Tzavaras
2019, 39(11) : 6175-6206 doi: 10.3934/dcds.2019269 +[Abstract](244) +[HTML](88) +[PDF](508.74KB)
Measure dynamics with Probability Vector Fields and sources
Benedetto Piccoli and Francesco Rossi
2019, 39(11) : 6207-6230 doi: 10.3934/dcds.2019270 +[Abstract](255) +[HTML](78) +[PDF](414.71KB)
Bowen entropy for fixed-point free flows
Yong Ji, Ercai Chen, Yunping Wang and Cao Zhao
2019, 39(11) : 6231-6239 doi: 10.3934/dcds.2019271 +[Abstract](291) +[HTML](94) +[PDF](290.34KB)
Escape dynamics for interval maps
Carlos Correia Ramos, Nuno Martins and Paulo R. Pinto
2019, 39(11) : 6241-6260 doi: 10.3934/dcds.2019272 +[Abstract](352) +[HTML](81) +[PDF](455.71KB)
The vorticity equation on a rotating sphere and the shallow fluid approximation
Vikas S. Krishnamurthy
2019, 39(11) : 6261-6276 doi: 10.3934/dcds.2019273 +[Abstract](117) +[HTML](91) +[PDF](370.02KB)
Thermodynamic formalism for topological Markov chains on standard Borel spaces
L. Cioletti, E. Silva and M. Stadlbauer
2019, 39(11) : 6277-6298 doi: 10.3934/dcds.2019274 +[Abstract](165) +[HTML](71) +[PDF](517.49KB)
Scattering for a mass critical NLS system below the ground state with and without mass-resonance condition
Takahisa Inui, Nobu Kishimoto and Kuranosuke Nishimura
2019, 39(11) : 6299-6353 doi: 10.3934/dcds.2019275 +[Abstract](124) +[HTML](68) +[PDF](645.97KB)
Oblique projection based stabilizing feedback for nonautonomous coupled parabolic-ode systems
Karl Kunisch and Sérgio S. Rodrigues
2019, 39(11) : 6355-6389 doi: 10.3934/dcds.2019276 +[Abstract](114) +[HTML](66) +[PDF](1660.16KB)
Spectral estimates for Ruelle operators with two parameters and sharp large deviations
Vesselin Petkov and Luchezar Stoyanov
2019, 39(11) : 6391-6417 doi: 10.3934/dcds.2019277 +[Abstract](123) +[HTML](70) +[PDF](459.6KB)
Coexistence of period 2 and 3 caustics for deformative nearly circular billiard maps
Jianlu Zhang
2019, 39(11) : 6419-6440 doi: 10.3934/dcds.2019278 +[Abstract](123) +[HTML](70) +[PDF](481.26KB)
SRB measures for some diffeomorphisms with dominated splittings as zero noise limits
Zeya Mi
2019, 39(11) : 6441-6465 doi: 10.3934/dcds.2019279 +[Abstract](134) +[HTML](78) +[PDF](432.66KB)
Exponential stability of SDEs driven by fBm with Markovian switching
Litan Yan, Wenyi Pei and Zhenzhong Zhang
2019, 39(11) : 6467-6483 doi: 10.3934/dcds.2019280 +[Abstract](151) +[HTML](86) +[PDF](442.75KB)
On the Gevrey regularity of solutions to the 3D ideal MHD equations
Feng Cheng and Chao-Jiang Xu
2019, 39(11) : 6485-6506 doi: 10.3934/dcds.2019281 +[Abstract](141) +[HTML](67) +[PDF](374.5KB)
An algebraic approach to entropy plateaus in non-integer base expansions
Pieter C. Allaart
2019, 39(11) : 6507-6522 doi: 10.3934/dcds.2019282 +[Abstract](116) +[HTML](66) +[PDF](395.68KB)
Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent
Maoding Zhen, Jinchun He, Haoyuan Xu and Meihua Yang
2019, 39(11) : 6523-6539 doi: 10.3934/dcds.2019283 +[Abstract](156) +[HTML](65) +[PDF](390.17KB)
Moduli of stability for heteroclinic cycles of periodic solutions
Maria Carvalho, Alexander Lohse and Alexandre A. P. Rodrigues
2019, 39(11) : 6541-6564 doi: 10.3934/dcds.2019284 +[Abstract](127) +[HTML](62) +[PDF](440.39KB)
Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels
Sergei Agapov and Alexandr Valyuzhenich
2019, 39(11) : 6565-6583 doi: 10.3934/dcds.2019285 +[Abstract](136) +[HTML](64) +[PDF](343.44KB)
Almost surely invariance principle for non-stationary and random intermittent dynamical systems
Yaofeng Su
2019, 39(11) : 6585-6597 doi: 10.3934/dcds.2019286 +[Abstract](144) +[HTML](62) +[PDF](370.98KB)
On the existence of full dimensional KAM torus for nonlinear Schrödinger equation
Hongzi Cong, Lufang Mi, Yunfeng Shi and Yuan Wu
2019, 39(11) : 6599-6630 doi: 10.3934/dcds.2019287 +[Abstract](144) +[HTML](68) +[PDF](521.56KB)
Relative entropy dimension of topological dynamical systems
Xiaomin Zhou
2019, 39(11) : 6631-6642 doi: 10.3934/dcds.2019288 +[Abstract](158) +[HTML](65) +[PDF](331.76KB)
Scattering of radial data in the focusing NLS and generalized Hartree equations
Anudeep Kumar Arora
2019, 39(11) : 6643-6668 doi: 10.3934/dcds.2019289 +[Abstract](130) +[HTML](56) +[PDF](429.98KB)
Global large smooth solutions for 3-D Hall-magnetohydrodynamics
Huali Zhang
2019, 39(11) : 6669-6682 doi: 10.3934/dcds.2019290 +[Abstract](134) +[HTML](63) +[PDF](311.67KB)
Electro-magneto-static study of the nonlinear Schrödinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting
Emmanuel Hebey
2019, 39(11) : 6683-6712 doi: 10.3934/dcds.2019291 +[Abstract](123) +[HTML](63) +[PDF](426.09KB)
Global well-posedness to the cauchy problem of two-dimensional density-dependent boussinesq equations with large initial data and vacuum
Xin Zhong
2019, 39(11) : 6713-6745 doi: 10.3934/dcds.2019292 +[Abstract](151) +[HTML](83) +[PDF](476.43KB)
The jumping problem for nonlocal singular problems
Annamaria Canino, Luigi Montoro and Berardino Sciunzi
2019, 39(11) : 6747-6760 doi: 10.3934/dcds.2019293 +[Abstract](175) +[HTML](112) +[PDF](372.11KB)
On the uniqueness of bound state solutions of a semilinear equation with weights
Carmen Cortázar, Marta García-Huidobro and Pilar Herreros
2019, 39(11) : 6761-6784 doi: 10.3934/dcds.2019294 +[Abstract](148) +[HTML](75) +[PDF](452.59KB)
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](557) +[HTML](224) +[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](443) +[HTML](196) +[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](422) +[HTML](190) +[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](444) +[HTML](185) +[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](392) +[HTML](192) +[PDF](431.74KB)
Minimizers of the $ p $-oscillation functional
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga and Enrico Valdinoci
2019doi: 10.3934/dcds.2019231 +[Abstract](375) +[HTML](189) +[PDF](307.34KB)
Superfluids passing an obstacle and vortex nucleation
Fanghua Lin and Juncheng Wei
2019doi: 10.3934/dcds.2019232 +[Abstract](354) +[HTML](198) +[PDF](444.76KB)
Free boundary problems associated with cancer treatment by combination therapy
Avner Friedman and Xiulan Lai
2019doi: 10.3934/dcds.2019233 +[Abstract](438) +[HTML](188) +[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](437) +[HTML](204) +[PDF](444.4KB)
Regularity results for the equation $ u_{11}u_{22} = 1 $
Connor Mooney and Ovidiu Savin
2019doi: 10.3934/dcds.2019235 +[Abstract](360) +[HTML](186) +[PDF](309.52KB)
Soap films with gravity and almost-minimal surfaces
Francesco Maggi, Salvatore Stuvard and Antonello Scardicchio
2019doi: 10.3934/dcds.2019236 +[Abstract](473) +[HTML](241) +[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](358) +[HTML](181) +[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](405) +[HTML](189) +[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](405) +[HTML](222) +[PDF](347.91KB)
The method of energy channels for nonlinear wave equations
Carlos E. Kenig
2019doi: 10.3934/dcds.2019240 +[Abstract](484) +[HTML](277) +[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](399) +[HTML](236) +[PDF](405.55KB)
Remarks on some minimization problems associated with BV norms
Haïm Brezis
2019doi: 10.3934/dcds.2019242 +[Abstract](522) +[HTML](219) +[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](382) +[HTML](201) +[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](3458) +[PDF](233.8KB) Cited By(162)
Global attractors for damped semilinear wave equations
John M. Ball
2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](4482) +[PDF](246.2KB) Cited By(153)
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](4328) +[PDF](262.8KB) Cited By(142)
Remarks on regularities for the 3D MHD equations
Yong Zhou
2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](2360) +[PDF](176.3KB) Cited By(141)
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](3851) +[PDF](382.7KB) Cited By(133)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](3377) +[PDF](369.4KB) Cited By(113)
Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$
Zhengping Wang and Huan-Song Zhou
2007, 18(4) : 809-816 doi: 10.3934/dcds.2007.18.809 +[Abstract](2439) +[PDF](153.0KB) Cited By(89)
BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Zhen Lei and Yi Zhou
2009, 25(2) : 575-583 doi: 10.3934/dcds.2009.25.575 +[Abstract](2505) +[PDF](159.5KB) Cited By(82)
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](2596) +[PDF](167.1KB) Cited By(76)
Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces
Songsong Lu, Hongqing Wu and Chengkui Zhong
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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
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On the universality of the incompressible Euler equation on compact manifolds
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2018, 38(3) : 1553-1565 doi: 10.3934/dcds.2018064 +[Abstract](3165) +[HTML](555) +[PDF](422.44KB) PDF Downloads(225)
On a class of non-local elliptic equations with asymptotically linear term
Yuanhong Wei and Xifeng Su
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Some questions looking for answers in dynamical systems
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Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus
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Classification for positive solutions of degenerate elliptic system
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The two membranes problem for fully nonlinear operators
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Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
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Attainability of the fractional hardy constant with nonlocal mixed boundary conditions: Applications
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