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AIMS joins the mathematics community world wide in congratulating Professor Alessio 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 AIMS conference (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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Editorial
Manuel del Pino, Shouchuan Hu and Juncheng Wei
2021, 41(1) : i-ii doi: 10.3934/dcds.2020387 +[Abstract](112) +[HTML](54) +[PDF](70.51KB)
Generalized solutions to models of compressible viscous fluids
Anna Abbatiello, Eduard Feireisl and Antoní Novotný
2021, 41(1) : 1-28 doi: 10.3934/dcds.2020345 +[Abstract](198) +[HTML](75) +[PDF](486.53KB)
Strongly localized semiclassical states for nonlinear Dirac equations
Thomas Bartsch and Tian Xu
2021, 41(1) : 29-60 doi: 10.3934/dcds.2020297 +[Abstract](361) +[HTML](170) +[PDF](477.38KB)
Minimal collision arcs asymptotic to central configurations
Vivina Barutello, Gian Marco Canneori and Susanna Terracini
2021, 41(1) : 61-86 doi: 10.3934/dcds.2020218 +[Abstract](572) +[HTML](248) +[PDF](547.47KB)
Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I. approximations
Jerry L. Bona, Angel Durán and Dimitrios Mitsotakis
2021, 41(1) : 87-111 doi: 10.3934/dcds.2020215 +[Abstract](806) +[HTML](334) +[PDF](573.14KB)
A posteriori error estimates for self-similar solutions to the Euler equations
Alberto Bressan and Wen Shen
2021, 41(1) : 113-130 doi: 10.3934/dcds.2020168 +[Abstract](738) +[HTML](344) +[PDF](630.98KB)
Mathematical analysis of a cloud resolving model including the ice microphysics
Yining Cao, Chuck Jia, Roger Temam and Joseph Tribbia
2021, 41(1) : 131-167 doi: 10.3934/dcds.2020219 +[Abstract](639) +[HTML](283) +[PDF](787.6KB)
Function approximation via the subsampled Poincaré inequality
Yifan Chen and Thomas Y. Hou
2021, 41(1) : 169-199 doi: 10.3934/dcds.2020296 +[Abstract](340) +[HTML](239) +[PDF](591.82KB)
Stuart-type polar vortices on a rotating sphere
Adrian Constantin, Darren G. Crowdy, Vikas S. Krishnamurthy and Miles H. Wheeler
2021, 41(1) : 201-215 doi: 10.3934/dcds.2020263 +[Abstract](493) +[HTML](210) +[PDF](1578.97KB)
Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps
Mark F. Demers
2021, 41(1) : 217-256 doi: 10.3934/dcds.2020217 +[Abstract](541) +[HTML](249) +[PDF](741.73KB)
Time-fractional equations with reaction terms: Fundamental solutions and asymptotics
Serena Dipierro, Benedetta Pellacci, Enrico Valdinoci and Gianmaria Verzini
2021, 41(1) : 257-275 doi: 10.3934/dcds.2020137 +[Abstract](943) +[HTML](420) +[PDF](391.13KB)
Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions
João Marcos do Ó, Bruno Ribeiro and Bernhard Ruf
2021, 41(1) : 277-296 doi: 10.3934/dcds.2020138 +[Abstract](1024) +[HTML](381) +[PDF](1415.31KB)
$ L^\infty $-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization
Aihua Fan, Jörg Schmeling and Weixiao Shen
2021, 41(1) : 297-327 doi: 10.3934/dcds.2020363 +[Abstract](126) +[HTML](55) +[PDF](1081.09KB)
On $ \epsilon $-escaping trajectories in homogeneous spaces
Federico Rodriguez Hertz and Zhiren Wang
2021, 41(1) : 329-357 doi: 10.3934/dcds.2020365 +[Abstract](108) +[HTML](48) +[PDF](478.63KB)
Mean equicontinuity, complexity and applications
Jie Li, Xiangdong Ye and Tao Yu
2021, 41(1) : 359-393 doi: 10.3934/dcds.2020167 +[Abstract](771) +[HTML](355) +[PDF](451.25KB)
Entire solutions of the Allen–Cahn–Nagumo equation in a multi-dimensional space
Hirokazu Ninomiya
2021, 41(1) : 395-412 doi: 10.3934/dcds.2020364 +[Abstract](115) +[HTML](48) +[PDF](623.31KB)
Entire and ancient solutions of a supercritical semilinear heat equation
Peter Poláčik and Pavol Quittner
2021, 41(1) : 413-438 doi: 10.3934/dcds.2020136 +[Abstract](857) +[HTML](385) +[PDF](435.3KB)
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Youshan Tao and Michael Winkler
2021, 41(1) : 439-454 doi: 10.3934/dcds.2020216 +[Abstract](574) +[HTML](258) +[PDF](391.58KB)
Inverse problems for nonlinear hyperbolic equations
Gunther Uhlmann and Jian Zhai
2021, 41(1) : 455-469 doi: 10.3934/dcds.2020380 +[Abstract](120) +[HTML](35) +[PDF](391.29KB)
A brief and personal history of stochastic partial differential equations
Lorenzo Zambotti
2021, 41(1) : 471-487 doi: 10.3934/dcds.2020264 +[Abstract](518) +[HTML](222) +[PDF](364.57KB)
Symmetry and nonexistence results for a fractional Choquard equation with weights
Anh Tuan Duong, Phuong Le and Nhu Thang Nguyen
2020doi: 10.3934/dcds.2020265 +[Abstract](551) +[HTML](214) +[PDF](363.6KB)
The unique measure of maximal entropy for a compact rank one locally CAT(0) space
Russell Ricks
2020doi: 10.3934/dcds.2020266 +[Abstract](369) +[HTML](195) +[PDF](364.46KB)
Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for $ \beta $-transformation
Yuanfen Xiao
2020doi: 10.3934/dcds.2020267 +[Abstract](402) +[HTML](182) +[PDF](371.99KB)
Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains
Lingwei Ma and Zhenqiu Zhang
2020doi: 10.3934/dcds.2020268 +[Abstract](375) +[HTML](223) +[PDF](394.66KB)
Local rigidity of certain solvable group actions on tori
Qiao Liu
2020doi: 10.3934/dcds.2020269 +[Abstract](371) +[HTML](190) +[PDF](325.3KB)
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity
Xinyu Mei, Yangmin Xiong and Chunyou Sun
2020doi: 10.3934/dcds.2020270 +[Abstract](404) +[HTML](188) +[PDF](479.26KB)
Maximal factors of order $ d $ of dynamical cubespaces
Jiahao Qiu and Jianjie Zhao
2020doi: 10.3934/dcds.2020278 +[Abstract](279) +[HTML](143) +[PDF](361.03KB)
Singular solutions of a Lane-Emden system
Craig Cowan and Abdolrahman Razani
2020doi: 10.3934/dcds.2020291 +[Abstract](345) +[HTML](171) +[PDF](492.3KB)
Uniform stability estimate for the Vlasov-Poisson-Boltzmann system
Hao Wang
2020doi: 10.3934/dcds.2020292 +[Abstract](381) +[HTML](161) +[PDF](371.02KB)
Asymptotic behavior of minimal solutions of $ -\Delta u = \lambda f(u) $ as $ \lambda\to-\infty $
Luca Battaglia, Francesca Gladiali and Massimo Grossi
2020doi: 10.3934/dcds.2020293 +[Abstract](282) +[HTML](141) +[PDF](411.09KB)
Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $-supercritical case
Oussama Landoulsi
2020doi: 10.3934/dcds.2020298 +[Abstract](277) +[HTML](141) +[PDF](577.9KB)
Large time behavior of exchange-driven growth
Emre Esentürk and Juan Velazquez
2020doi: 10.3934/dcds.2020299 +[Abstract](275) +[HTML](137) +[PDF](459.76KB)
Attainability property for a probabilistic target in wasserstein spaces
Giulia Cavagnari and Antonio Marigonda
2020doi: 10.3934/dcds.2020300 +[Abstract](254) +[HTML](136) +[PDF](644.37KB)
Asymptotic dynamics of a system of conservation laws from chemotaxis
Neng Zhu, Zhengrong Liu, Fang Wang and Kun Zhao
2020doi: 10.3934/dcds.2020301 +[Abstract](275) +[HTML](141) +[PDF](406.44KB)
Well-posedness of some non-linear stable driven SDEs
Noufel Frikha, Valentin Konakov and Stéphane Menozzi
2020doi: 10.3934/dcds.2020302 +[Abstract](333) +[HTML](142) +[PDF](672.72KB)
A generalization of the Babbage functional equation
Marc Homs-Dones
2020doi: 10.3934/dcds.2020303 +[Abstract](302) +[HTML](154) +[PDF](427.53KB)
Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: Convergence for classical solutions
Yi-Long Luo and Yangjun Ma
2020doi: 10.3934/dcds.2020304 +[Abstract](316) +[HTML](143) +[PDF](532.57KB)
Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay
Feifei Cheng and Ji Li
2020doi: 10.3934/dcds.2020305 +[Abstract](333) +[HTML](152) +[PDF](379.01KB)
$ N- $Laplacian problems with critical double exponential nonlinearities
Shengbing Deng, Tingxi Hu and Chun-Lei Tang
2020doi: 10.3934/dcds.2020306 +[Abstract](239) +[HTML](132) +[PDF](386.87KB)
Recoding Lie algebraic subshifts
Ville Salo and Ilkka Törmä
2020doi: 10.3934/dcds.2020307 +[Abstract](300) +[HTML](152) +[PDF](361.8KB)
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation
Helin Guo and Huan-Song Zhou
2020doi: 10.3934/dcds.2020308 +[Abstract](277) +[HTML](132) +[PDF](470.54KB)
Pomeau-Manneville maps are global-local mixing
Claudio Bonanno and Marco Lenci
2020doi: 10.3934/dcds.2020309 +[Abstract](317) +[HTML](148) +[PDF](380.22KB)
Existence uniqueness and regularity theory for elliptic equations with complex-valued potentials
Tuoc Phan, Grozdena Todorova and Borislav Yordanov
2020doi: 10.3934/dcds.2020310 +[Abstract](357) +[HTML](180) +[PDF](432.97KB)
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere
Elena Nozdrinova and Olga Pochinka
2020doi: 10.3934/dcds.2020311 +[Abstract](285) +[HTML](167) +[PDF](24076.94KB)
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
Jean-Claude Saut and Yuexun Wang
2020doi: 10.3934/dcds.2020312 +[Abstract](318) +[HTML](152) +[PDF](358.53KB)
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
Yi Guan, Michal Fečkan and Jinrong Wang
2020doi: 10.3934/dcds.2020313 +[Abstract](270) +[HTML](149) +[PDF](391.87KB)
Multiple ergodic averages for tempered functions
Andreas Koutsogiannis
2020doi: 10.3934/dcds.2020314 +[Abstract](253) +[HTML](148) +[PDF](491.36KB)
Asymptotic stability in a chemotaxis-competition system with indirect signal production
Pan Zheng
2020doi: 10.3934/dcds.2020315 +[Abstract](222) +[HTML](134) +[PDF](390.91KB)
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
Andrew Comech and Scipio Cuccagna
2020doi: 10.3934/dcds.2020316 +[Abstract](231) +[HTML](131) +[PDF](609.62KB)
On entropy of $ \Phi $-irregular and $ \Phi $-level sets in maps with the shadowing property
Magdalena Foryś-Krawiec, Jiří Kupka, Piotr Oprocha and Xueting Tian
2020doi: 10.3934/dcds.2020317 +[Abstract](250) +[HTML](127) +[PDF](451.5KB)
Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
Juliana Fernandes and Liliane Maia
2020doi: 10.3934/dcds.2020318 +[Abstract](242) +[HTML](136) +[PDF](393.23KB)
Entropy production in random billiards
Timothy Chumley and Renato Feres
2020doi: 10.3934/dcds.2020319 +[Abstract](194) +[HTML](124) +[PDF](889.91KB)
Gromov-Hausdorff stability for group actions
Meihua Dong, Keonhee Lee and Carlos Morales
2020doi: 10.3934/dcds.2020320 +[Abstract](207) +[HTML](113) +[PDF](257.96KB)
Sharp regularity for degenerate obstacle type problems: A geometric approach
João Vitor da Silva and Hernán Vivas
2020doi: 10.3934/dcds.2020321 +[Abstract](192) +[HTML](105) +[PDF](505.09KB)
Global large solutions and optimal time-decay estimates to the Korteweg system
Xiaoping Zhai and Yongsheng Li
2020doi: 10.3934/dcds.2020322 +[Abstract](217) +[HTML](121) +[PDF](437.18KB)
A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system
Masaru Hamano and Satoshi Masaki
2020doi: 10.3934/dcds.2020323 +[Abstract](226) +[HTML](110) +[PDF](492.71KB)
Mean-square random invariant manifolds for stochastic differential equations
Bixiang Wang
2020doi: 10.3934/dcds.2020324 +[Abstract](229) +[HTML](100) +[PDF](360.68KB)
Global graph of metric entropy on expanding Blaschke products
Yunping Jiang
2020doi: 10.3934/dcds.2020325 +[Abstract](193) +[HTML](114) +[PDF](325.86KB)
Existence of nodal solutions for the sublinear Moore-Nehari differential equation
Ryuji Kajikiya
2020doi: 10.3934/dcds.2020326 +[Abstract](193) +[HTML](108) +[PDF](380.59KB)
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations
Jason Murphy and Kenji Nakanishi
2020doi: 10.3934/dcds.2020328 +[Abstract](204) +[HTML](100) +[PDF](361.49KB)
Averaging of Hamilton-Jacobi equations along divergence-free vector fields
Hitoshi Ishii and Taiga Kumagai
2020doi: 10.3934/dcds.2020329 +[Abstract](201) +[HTML](97) +[PDF](413.61KB)
Jordan decomposition and the recurrent set of flows of automorphisms
Víctor Ayala, Adriano Da Silva and Philippe Jouan
2020doi: 10.3934/dcds.2020330 +[Abstract](199) +[HTML](107) +[PDF](388.19KB)
A Liouville theorem of parabolic Monge-AmpÈre equations in half-space
Ziwei Zhou, Jiguang Bao and Bo Wang
2020doi: 10.3934/dcds.2020331 +[Abstract](227) +[HTML](105) +[PDF](397.62KB)
Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation
Bo You
2020doi: 10.3934/dcds.2020332 +[Abstract](179) +[HTML](106) +[PDF](439.79KB)
Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order
Phuong Le
2020doi: 10.3934/dcds.2020333 +[Abstract](309) +[HTML](108) +[PDF](387.19KB)
The relationship between word complexity and computational complexity in subshifts
Ronnie Pavlov and Pascal Vanier
2020doi: 10.3934/dcds.2020334 +[Abstract](129) +[HTML](65) +[PDF](425.6KB)
Recurrence for measurable semigroup actions
Michael Blank
2020doi: 10.3934/dcds.2020335 +[Abstract](142) +[HTML](73) +[PDF](392.0KB)
Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance
Xing Huang and Feng-Yu Wang
2020doi: 10.3934/dcds.2020336 +[Abstract](115) +[HTML](65) +[PDF](461.6KB)
Global stability in a multi-dimensional predator-prey system with prey-taxis
Dan Li
2020doi: 10.3934/dcds.2020337 +[Abstract](138) +[HTML](71) +[PDF](458.1KB)
Local well-posedness for the Klein-Gordon-Zakharov system in 3D
Hartmut Pecher
2020doi: 10.3934/dcds.2020338 +[Abstract](130) +[HTML](67) +[PDF](470.51KB)
Dynamical Borel–Cantelli lemmas
Viktoria Xing
2020doi: 10.3934/dcds.2020339 +[Abstract](148) +[HTML](82) +[PDF](403.79KB)
Invisible tricorns in real slices of rational maps
Russell Lodge and Sabyasachi Mukherjee
2020doi: 10.3934/dcds.2020340 +[Abstract](171) +[HTML](77) +[PDF](6800.03KB)
Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables
Stefano Galatolo, Mark Holland, Tomas Persson and Yiwei Zhang
2020doi: 10.3934/dcds.2020341 +[Abstract](143) +[HTML](77) +[PDF](672.69KB)
Spatial dynamics and optimization method for a network propagation model in a shifting environment
Linhe Zhu and Wenshan Liu
2020doi: 10.3934/dcds.2020342 +[Abstract](129) +[HTML](75) +[PDF](2206.36KB)
Reversible perturbations of conservative Hénon-like maps
Marina Gonchenko, Sergey Gonchenko and Klim Safonov
2020doi: 10.3934/dcds.2020343 +[Abstract](134) +[HTML](83) +[PDF](659.37KB)
Strichartz estimates and local regularity for the elastic wave equation with singular potentials
Seongyeon Kim, Yehyun Kwon and Ihyeok Seo
2020doi: 10.3934/dcds.2020344 +[Abstract](142) +[HTML](61) +[PDF](491.6KB)
Diffeomorphisms with a generalized Lipschitz shadowing property
Manseob Lee, Jumi Oh and Xiao Wen
2020doi: 10.3934/dcds.2020346 +[Abstract](115) +[HTML](68) +[PDF](340.19KB)
Splitting theorems on complete Riemannian manifolds with nonnegative Ricci curvature
Alberto Farina and Jesús Ocáriz
2020doi: 10.3934/dcds.2020347 +[Abstract](144) +[HTML](73) +[PDF](273.68KB)
Steady asymmetric vortex pairs for Euler equations
Zineb Hassainia and Taoufik Hmidi
2020doi: 10.3934/dcds.2020348 +[Abstract](132) +[HTML](75) +[PDF](432.82KB)
Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations
Lili Fan, Lizhi Ruan and Wei Xiang
2020doi: 10.3934/dcds.2020349 +[Abstract](135) +[HTML](67) +[PDF](467.7KB)
Measures and stabilizers of group Cantor actions
Maik Gröger and Olga Lukina
2020doi: 10.3934/dcds.2020350 +[Abstract](129) +[HTML](76) +[PDF](421.0KB)
A $ G^{\delta, 1} $ almost conservation law for mCH and the evolution of its radius of spatial analyticity
A. Alexandrou Himonas and Gerson Petronilho
2020doi: 10.3934/dcds.2020351 +[Abstract](141) +[HTML](67) +[PDF](381.49KB)
Cylinder absolute games on solenoids
L. Singhal
2020doi: 10.3934/dcds.2020352 +[Abstract](147) +[HTML](52) +[PDF](390.92KB)
Entropy conjugacy for Markov multi-maps of the interval
James P. Kelly and Kevin McGoff
2020doi: 10.3934/dcds.2020353 +[Abstract](90) +[HTML](56) +[PDF](458.98KB)
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
Zhiping Fan and Duanzhi Zhang
2020doi: 10.3934/dcds.2020354 +[Abstract](143) +[HTML](60) +[PDF](404.94KB)
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
Julián Fernández Bonder, Analía Silva and Juan F. Spedaletti
2020doi: 10.3934/dcds.2020355 +[Abstract](110) +[HTML](52) +[PDF](332.94KB)
Thermodynamic formalism of $ \text{GL}_2(\mathbb{R}) $-cocycles with canonical holonomies
Clark Butler and Kiho Park
2020doi: 10.3934/dcds.2020356 +[Abstract](137) +[HTML](54) +[PDF](460.79KB)
Radially symmetric stationary wave for two-dimensional Burgers equation
Huijiang Zhao and Qingsong Zhao
2020doi: 10.3934/dcds.2020357 +[Abstract](113) +[HTML](53) +[PDF](392.96KB)
Integral equations on compact CR manifolds
Yazhou Han
2020doi: 10.3934/dcds.2020358 +[Abstract](88) +[HTML](47) +[PDF](401.99KB)
Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $
Jiyoung Han
2020doi: 10.3934/dcds.2020359 +[Abstract](84) +[HTML](46) +[PDF](393.04KB)
Martingale solution for stochastic active liquid crystal system
Zhaoyang Qiu and Yixuan Wang
2020doi: 10.3934/dcds.2020360 +[Abstract](95) +[HTML](41) +[PDF](458.68KB)
Liouville type theorems for fractional and higher-order fractional systems
Daomin Cao and Guolin Qin
2020doi: 10.3934/dcds.2020361 +[Abstract](110) +[HTML](42) +[PDF](406.94KB)
Sliding method for the semi-linear elliptic equations involving the uniformly elliptic nonlocal operators
Meng Qu, Jiayan Wu and Ting Zhang
2020doi: 10.3934/dcds.2020362 +[Abstract](130) +[HTML](57) +[PDF](336.25KB)
On the asymptotic properties for stationary solutions to the Navier-Stokes equations
Oleg Imanuvilov
2020doi: 10.3934/dcds.2020366 +[Abstract](52) +[HTML](32) +[PDF](465.58KB)
Well-posedness of renormalized solutions for a stochastic $ p $-Laplace equation with $ L^1 $-initial data
Niklas Sapountzoglou and Aleksandra Zimmermann
2020doi: 10.3934/dcds.2020367 +[Abstract](59) +[HTML](34) +[PDF](465.8KB)
On the vanishing discount problem from the negative direction
Andrea Davini and Lin Wang
2020doi: 10.3934/dcds.2020368 +[Abstract](69) +[HTML](36) +[PDF](340.31KB)
Genetics of iterative roots for PM functions
Liu Liu and Weinian Zhang
2020doi: 10.3934/dcds.2020369 +[Abstract](62) +[HTML](38) +[PDF](317.7KB)
Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations
Hayato Miyazaki
2020doi: 10.3934/dcds.2020370 +[Abstract](93) +[HTML](30) +[PDF](440.26KB)
Stabilizability in optimization problems with unbounded data
Anna Chiara Lai and Monica Motta
2020doi: 10.3934/dcds.2020371 +[Abstract](71) +[HTML](34) +[PDF](452.19KB)
Orbital and asymptotic stability of a train of peakons for the Novikov equation
José Manuel Palacios
2020doi: 10.3934/dcds.2020372 +[Abstract](67) +[HTML](36) +[PDF](584.14KB)
Penalisation of long treatment time and optimal control of a tumour growth model of Cahn–Hilliard type with singular potential
Andrea Signori
2020doi: 10.3934/dcds.2020373 +[Abstract](64) +[HTML](29) +[PDF](384.37KB)
Comparison theorem for diagonally quadratic BSDEs
Peng Luo
2020doi: 10.3934/dcds.2020374 +[Abstract](73) +[HTML](29) +[PDF](280.0KB)
Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi–Mumford systems
Yuri Fedorov and Božidar Jovanović
2020doi: 10.3934/dcds.2020375 +[Abstract](98) +[HTML](26) +[PDF](539.37KB)
A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation
José Luis López
2020doi: 10.3934/dcds.2020376 +[Abstract](83) +[HTML](26) +[PDF](348.07KB)
Second order estimates for complex Hessian equations on Hermitian manifolds
Weisong Dong and Chang Li
2020doi: 10.3934/dcds.2020377 +[Abstract](77) +[HTML](34) +[PDF](318.88KB)
Multiplicity of closed characteristics on $ P $-symmetric compact convex hypersurfaces in $ \mathbb{R}^{2n} $
Lei Liu and Li Wu
2020doi: 10.3934/dcds.2020378 +[Abstract](69) +[HTML](30) +[PDF](401.38KB)
Normalized solutions for nonlinear coupled fractional systems: Low and high perturbations in the attractive case
Maoding Zhen, Binlin Zhang and Vicenţiu D. Rădulescu
2020doi: 10.3934/dcds.2020379 +[Abstract](91) +[HTML](42) +[PDF](439.63KB)
Čech cohomology, homoclinic trajectories and robustness of non-saddle sets
Héctor Barge
2020doi: 10.3934/dcds.2020381 +[Abstract](61) +[HTML](21) +[PDF](438.52KB)
On local well-posedness and ill-posedness results for a coupled system of mkdv type equations
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