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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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Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation
Helin Guo and Huan-Song Zhou
2021, 41(3) : 1023-1050 doi: 10.3934/dcds.2020308 +[Abstract](479) +[HTML](209) +[PDF](488.47KB)
Pomeau-Manneville maps are global-local mixing
Claudio Bonanno and Marco Lenci
2021, 41(3) : 1051-1069 doi: 10.3934/dcds.2020309 +[Abstract](509) +[HTML](226) +[PDF](397.64KB)
Existence uniqueness and regularity theory for elliptic equations with complex-valued potentials
Tuoc Phan, Grozdena Todorova and Borislav Yordanov
2021, 41(3) : 1071-1099 doi: 10.3934/dcds.2020310 +[Abstract](569) +[HTML](274) +[PDF](449.94KB)
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere
Elena Nozdrinova and Olga Pochinka
2021, 41(3) : 1101-1131 doi: 10.3934/dcds.2020311 +[Abstract](494) +[HTML](268) +[PDF](24094.18KB)
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
Jean-Claude Saut and Yuexun Wang
2021, 41(3) : 1133-1155 doi: 10.3934/dcds.2020312 +[Abstract](493) +[HTML](226) +[PDF](381.97KB)
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
Yi Guan, Michal Fečkan and Jinrong Wang
2021, 41(3) : 1157-1176 doi: 10.3934/dcds.2020313 +[Abstract](436) +[HTML](219) +[PDF](409.32KB)
Multiple ergodic averages for tempered functions
Andreas Koutsogiannis
2021, 41(3) : 1177-1205 doi: 10.3934/dcds.2020314 +[Abstract](395) +[HTML](225) +[PDF](508.9KB)
Asymptotic stability in a chemotaxis-competition system with indirect signal production
Pan Zheng
2021, 41(3) : 1207-1223 doi: 10.3934/dcds.2020315 +[Abstract](389) +[HTML](202) +[PDF](408.59KB)
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
Andrew Comech and Scipio Cuccagna
2021, 41(3) : 1225-1270 doi: 10.3934/dcds.2020316 +[Abstract](407) +[HTML](198) +[PDF](627.46KB)
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
2021, 41(3) : 1271-1296 doi: 10.3934/dcds.2020317 +[Abstract](449) +[HTML](200) +[PDF](468.9KB)
Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
Juliana Fernandes and Liliane Maia
2021, 41(3) : 1297-1318 doi: 10.3934/dcds.2020318 +[Abstract](406) +[HTML](206) +[PDF](411.25KB)
Entropy production in random billiards
Timothy Chumley and Renato Feres
2021, 41(3) : 1319-1346 doi: 10.3934/dcds.2020319 +[Abstract](352) +[HTML](195) +[PDF](907.57KB)
Gromov-Hausdorff stability for group actions
Meihua Dong, Keonhee Lee and Carlos Morales
2021, 41(3) : 1347-1357 doi: 10.3934/dcds.2020320 +[Abstract](369) +[HTML](177) +[PDF](282.35KB)
Sharp regularity for degenerate obstacle type problems: A geometric approach
João Vitor da Silva and Hernán Vivas
2021, 41(3) : 1359-1385 doi: 10.3934/dcds.2020321 +[Abstract](348) +[HTML](174) +[PDF](515.65KB)
Global large solutions and optimal time-decay estimates to the Korteweg system
Xiaoping Zhai and Yongsheng Li
2021, 41(3) : 1387-1413 doi: 10.3934/dcds.2020322 +[Abstract](369) +[HTML](193) +[PDF](448.24KB)
A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system
Masaru Hamano and Satoshi Masaki
2021, 41(3) : 1415-1447 doi: 10.3934/dcds.2020323 +[Abstract](387) +[HTML](184) +[PDF](509.61KB)
Mean-square random invariant manifolds for stochastic differential equations
Bixiang Wang
2021, 41(3) : 1449-1468 doi: 10.3934/dcds.2020324 +[Abstract](398) +[HTML](169) +[PDF](378.36KB)
Global graph of metric entropy on expanding Blaschke products
Yunping Jiang
2021, 41(3) : 1469-1482 doi: 10.3934/dcds.2020325 +[Abstract](359) +[HTML](195) +[PDF](343.97KB)
Existence of nodal solutions for the sublinear Moore-Nehari differential equation
Ryuji Kajikiya
2021, 41(3) : 1483-1506 doi: 10.3934/dcds.2020326 +[Abstract](346) +[HTML](186) +[PDF](398.79KB)
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations
Jason Murphy and Kenji Nakanishi
2021, 41(3) : 1507-1517 doi: 10.3934/dcds.2020328 +[Abstract](356) +[HTML](167) +[PDF](378.94KB)
Averaging of Hamilton-Jacobi equations along divergence-free vector fields
Hitoshi Ishii and Taiga Kumagai
2020doi: 10.3934/dcds.2020329 +[Abstract](297) +[HTML](162) +[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](304) +[HTML](167) +[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](365) +[HTML](176) +[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](277) +[HTML](165) +[PDF](439.79KB)
Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order
Phuong Le
2020doi: 10.3934/dcds.2020333 +[Abstract](443) +[HTML](177) +[PDF](387.19KB)
The relationship between word complexity and computational complexity in subshifts
Ronnie Pavlov and Pascal Vanier
2020doi: 10.3934/dcds.2020334 +[Abstract](232) +[HTML](132) +[PDF](425.6KB)
Recurrence for measurable semigroup actions
Michael Blank
2020doi: 10.3934/dcds.2020335 +[Abstract](265) +[HTML](142) +[PDF](392.0KB)
Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance
Xing Huang and Feng-Yu Wang
2020doi: 10.3934/dcds.2020336 +[Abstract](235) +[HTML](137) +[PDF](461.6KB)
Global stability in a multi-dimensional predator-prey system with prey-taxis
Dan Li
2020doi: 10.3934/dcds.2020337 +[Abstract](266) +[HTML](136) +[PDF](458.1KB)
Local well-posedness for the Klein-Gordon-Zakharov system in 3D
Hartmut Pecher
2020doi: 10.3934/dcds.2020338 +[Abstract](256) +[HTML](135) +[PDF](470.51KB)
Dynamical Borel–Cantelli lemmas
Viktoria Xing
2020doi: 10.3934/dcds.2020339 +[Abstract](257) +[HTML](147) +[PDF](403.79KB)
Invisible tricorns in real slices of rational maps
Russell Lodge and Sabyasachi Mukherjee
2020doi: 10.3934/dcds.2020340 +[Abstract](299) +[HTML](152) +[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](270) +[HTML](152) +[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](239) +[HTML](144) +[PDF](2206.36KB)
Reversible perturbations of conservative Hénon-like maps
Marina Gonchenko, Sergey Gonchenko and Klim Safonov
2020doi: 10.3934/dcds.2020343 +[Abstract](278) +[HTML](152) +[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](280) +[HTML](130) +[PDF](491.6KB)
Diffeomorphisms with a generalized Lipschitz shadowing property
Manseob Lee, Jumi Oh and Xiao Wen
2020doi: 10.3934/dcds.2020346 +[Abstract](219) +[HTML](131) +[PDF](340.19KB)
Splitting theorems on complete Riemannian manifolds with nonnegative Ricci curvature
Alberto Farina and Jesús Ocáriz
2020doi: 10.3934/dcds.2020347 +[Abstract](256) +[HTML](138) +[PDF](273.68KB)
Steady asymmetric vortex pairs for Euler equations
Zineb Hassainia and Taoufik Hmidi
2020doi: 10.3934/dcds.2020348 +[Abstract](259) +[HTML](146) +[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](236) +[HTML](123) +[PDF](467.7KB)
Measures and stabilizers of group Cantor actions
Maik Gröger and Olga Lukina
2020doi: 10.3934/dcds.2020350 +[Abstract](241) +[HTML](153) +[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](265) +[HTML](134) +[PDF](381.49KB)
Cylinder absolute games on solenoids
L. Singhal
2020doi: 10.3934/dcds.2020352 +[Abstract](306) +[HTML](120) +[PDF](390.92KB)
Entropy conjugacy for Markov multi-maps of the interval
James P. Kelly and Kevin McGoff
2020doi: 10.3934/dcds.2020353 +[Abstract](194) +[HTML](115) +[PDF](458.98KB)
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
Zhiping Fan and Duanzhi Zhang
2020doi: 10.3934/dcds.2020354 +[Abstract](256) +[HTML](121) +[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](240) +[HTML](115) +[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](244) +[HTML](121) +[PDF](460.79KB)
Radially symmetric stationary wave for two-dimensional Burgers equation
Huijiang Zhao and Qingsong Zhao
2020doi: 10.3934/dcds.2020357 +[Abstract](217) +[HTML](118) +[PDF](392.96KB)
Integral equations on compact CR manifolds
Yazhou Han
2020doi: 10.3934/dcds.2020358 +[Abstract](222) +[HTML](126) +[PDF](401.99KB)
Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $
Jiyoung Han
2020doi: 10.3934/dcds.2020359 +[Abstract](190) +[HTML](112) +[PDF](393.04KB)
Martingale solution for stochastic active liquid crystal system
Zhaoyang Qiu and Yixuan Wang
2020doi: 10.3934/dcds.2020360 +[Abstract](212) +[HTML](112) +[PDF](458.68KB)
Liouville type theorems for fractional and higher-order fractional systems
Daomin Cao and Guolin Qin
2020doi: 10.3934/dcds.2020361 +[Abstract](237) +[HTML](109) +[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](272) +[HTML](117) +[PDF](336.25KB)
On the asymptotic properties for stationary solutions to the Navier-Stokes equations
Oleg Imanuvilov
2020doi: 10.3934/dcds.2020366 +[Abstract](178) +[HTML](103) +[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](186) +[HTML](103) +[PDF](465.8KB)
On the vanishing discount problem from the negative direction
Andrea Davini and Lin Wang
2020doi: 10.3934/dcds.2020368 +[Abstract](198) +[HTML](103) +[PDF](340.31KB)
Genetics of iterative roots for PM functions
Liu Liu and Weinian Zhang
2020doi: 10.3934/dcds.2020369 +[Abstract](188) +[HTML](108) +[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](252) +[HTML](96) +[PDF](440.26KB)
Stabilizability in optimization problems with unbounded data
Anna Chiara Lai and Monica Motta
2020doi: 10.3934/dcds.2020371 +[Abstract](195) +[HTML](103) +[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](190) +[HTML](111) +[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](189) +[HTML](94) +[PDF](384.37KB)
Comparison theorem for diagonally quadratic BSDEs
Peng Luo
2020doi: 10.3934/dcds.2020374 +[Abstract](233) +[HTML](92) +[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](252) +[HTML](98) +[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](271) +[HTML](100) +[PDF](348.12KB)
Second order estimates for complex Hessian equations on Hermitian manifolds
Weisong Dong and Chang Li
2020doi: 10.3934/dcds.2020377 +[Abstract](256) +[HTML](105) +[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](248) +[HTML](95) +[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](284) +[HTML](111) +[PDF](439.63KB)
Čech cohomology, homoclinic trajectories and robustness of non-saddle sets
Héctor Barge
2020doi: 10.3934/dcds.2020381 +[Abstract](214) +[HTML](93) +[PDF](438.52KB)
On local well-posedness and ill-posedness results for a coupled system of mkdv type equations
Xavier Carvajal, Liliana Esquivel and Raphael Santos
2020doi: 10.3934/dcds.2020382 +[Abstract](366) +[HTML](90) +[PDF](1025.47KB)
Non-autonomous stochastic evolution equations with nonlinear noise and nonlocal conditions governed by noncompact evolution families
Pengyu Chen
2020doi: 10.3934/dcds.2020383 +[Abstract](243) +[HTML](90) +[PDF](349.13KB)
Forward untangling and applications to the uniqueness problem for the continuity equation
Stefano Bianchini and Paolo Bonicatto
2020doi: 10.3934/dcds.2020384 +[Abstract](226) +[HTML](88) +[PDF](649.93KB)
Homogenization for nonlocal problems with smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira and Julio D. Rossi
2020doi: 10.3934/dcds.2020385 +[Abstract](242) +[HTML](85) +[PDF](384.63KB)
Properties of multicorrelation sequences and large returns under some ergodicity assumptions
Andreu Ferré Moragues
2020doi: 10.3934/dcds.2020386 +[Abstract](218) +[HTML](97) +[PDF](441.13KB)
On stochastic porous-medium equations with critical-growth conservative multiplicative noise
Nicolas Dirr, Hubertus Grillmeier and Günther Grün
2020doi: 10.3934/dcds.2020388 +[Abstract](130) +[HTML](55) +[PDF](1060.54KB)
Approximation properties of Lüroth expansions
Bo Tan and Qinglong Zhou
2020doi: 10.3934/dcds.2020389 +[Abstract](164) +[HTML](48) +[PDF](402.33KB)
A symmetric Random Walk defined by the time-one map of a geodesic flow
Pablo D. Carrasco and Túlio Vales
2020doi: 10.3934/dcds.2020390 +[Abstract](163) +[HTML](57) +[PDF](387.05KB)
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
Claudia Lederman and Noemi Wolanski
2020doi: 10.3934/dcds.2020391 +[Abstract](131) +[HTML](58) +[PDF](598.39KB)
Schrödinger Equations with vanishing potentials involving Brezis-Kamin type problems
Jose Anderson Cardoso, Patricio Cerda, Denilson Pereira and Pedro Ubilla
2020doi: 10.3934/dcds.2020392 +[Abstract](150) +[HTML](66) +[PDF](366.6KB)
On global well-posedness of the modified KdV equation in modulation spaces
Tadahiro Oh and Yuzhao Wang
2021doi: 10.3934/dcds.2020393 +[Abstract](35) +[HTML](16) +[PDF](423.98KB)
Study of fractional Poincaré inequalities on unbounded domains
Indranil Chowdhury, Gyula Csató, Prosenjit Roy and Firoj Sk
2020doi: 10.3934/dcds.2020394 +[Abstract](162) +[HTML](79) +[PDF](433.2KB)
Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem
Isabeau Birindelli, Françoise Demengel and Fabiana Leoni
2020doi: 10.3934/dcds.2020395 +[Abstract](178) +[HTML](62) +[PDF](297.72KB)
Global boundedness of solutions to the two-dimensional forager-exploiter model with logistic source
Lu Xu, Chunlai Mu and Qiao Xin
2020doi: 10.3934/dcds.2020396 +[Abstract](160) +[HTML](60) +[PDF](325.29KB)
The Littlewood-Paley $ pth $-order moments in three-dimensional MHD turbulence
Yao Nie and Jia Yuan
2020doi: 10.3934/dcds.2020397 +[Abstract](131) +[HTML](68) +[PDF](389.83KB)
Primitive equations with horizontal viscosity: The initial value and The time-periodic problem for physical boundary conditions
Amru Hussein, Martin Saal and Marc Wrona
2020doi: 10.3934/dcds.2020398 +[Abstract](157) +[HTML](68) +[PDF](444.91KB)
Extensions of expansive dynamical systems
Mauricio Achigar
2020doi: 10.3934/dcds.2020399 +[Abstract](151) +[HTML](58) +[PDF](339.96KB)
Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media
Izumi Takagi and Conghui Zhang
2020doi: 10.3934/dcds.2020400 +[Abstract](173) +[HTML](64) +[PDF](730.73KB)
On some model problem for the propagation of interacting species in a special environment
Michel Chipot and Mingmin Zhang
2020doi: 10.3934/dcds.2020401 +[Abstract](146) +[HTML](66) +[PDF](368.29KB)
Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice
Mia Jukić and Hermen Jan Hupkes
2020doi: 10.3934/dcds.2020402 +[Abstract](150) +[HTML](60) +[PDF](991.54KB)
Long time dynamics of solutions to $ p $-Laplacian diffusion problems with bistable reaction terms
Raffaele Folino, Ramón G. Plaza and Marta Strani
2020doi: 10.3934/dcds.2020403 +[Abstract](197) +[HTML](71) +[PDF](803.87KB)
Another point of view on Kusuoka's measure
Ugo Bessi
2020doi: 10.3934/dcds.2020404 +[Abstract](137) +[HTML](59) +[PDF](384.17KB)
$ BV $ solution for a non-linear Hamilton-Jacobi system
Ahmad El Hajj, Hassan Ibrahim and Vivian Rizik
2020doi: 10.3934/dcds.2020405 +[Abstract](148) +[HTML](53) +[PDF](588.46KB)
Complex planar Hamiltonian systems: Linearization and dynamics
Hua Shi, Xiang Zhang and Yuyan Zhang
2020doi: 10.3934/dcds.2020406 +[Abstract](121) +[HTML](55) +[PDF](349.52KB)
Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems
Adrian Viorel, Cristian D. Alecsa and Titus O. Pinţa
2020doi: 10.3934/dcds.2020407 +[Abstract](145) +[HTML](60) +[PDF](422.84KB)
Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains
Xin-Guang Yang, Rong-Nian Wang, Xingjie Yan and Alain Miranville
2020doi: 10.3934/dcds.2020408 +[Abstract](131) +[HTML](48) +[PDF](379.83KB)
A constructive approach to robust chaos using invariant manifolds and expanding cones
Paul A. Glendinning and David J. W. Simpson
2020doi: 10.3934/dcds.2020409 +[Abstract](118) +[HTML](53) +[PDF](1224.04KB)
Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance
Mario Bukal
2021doi: 10.3934/dcds.2021001 +[Abstract](45) +[HTML](13) +[PDF](443.42KB)
A weighted Sobolev space theory for the diffusion-wave equations with time-fractional derivatives on $ C^{1} $ domains
Beom-Seok Han, Kyeong-Hun Kim and Daehan Park
2021doi: 10.3934/dcds.2021002 +[Abstract](35) +[HTML](14) +[PDF](444.87KB)
Constant-speed ramps for a central force field
Rafael López and Óscar Perdomo
2021doi: 10.3934/dcds.2021003 +[Abstract](31) +[HTML](11) +[PDF](543.33KB)
Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
Françoise Demengel
2021doi: 10.3934/dcds.2021004 +[Abstract](34) +[HTML](9) +[PDF](421.47KB)
On the compressible Navier-Stokes equations in the whole space: From non-isentropic flow to isentropic flow
Ling-Bing He and Li Xu
2021doi: 10.3934/dcds.2021005 +[Abstract](41) +[HTML](13) +[PDF](556.41KB)
Möbius disjointness for skew products on a circle and a nilmanifold
Wen Huang, Jianya Liu and Ke Wang
2021doi: 10.3934/dcds.2021006 +[Abstract](40) +[HTML](12) +[PDF](396.53KB)
Some results for the large time behavior of Hamilton-Jacobi equations with Caputo time derivative
Olivier Ley, Erwin Topp and Miguel Yangari
2021doi: 10.3934/dcds.2021007 +[Abstract](105) +[HTML](41) +[PDF](387.79KB)
Center stable manifolds around line solitary waves of the Zakharov–Kuznetsov equation with critical speed
Yohei Yamazaki
2021doi: 10.3934/dcds.2021008 +[Abstract](93) +[HTML](32) +[PDF](498.89KB)
On convergence to equilibria of flows of compressible viscous fluids under in/out–flux boundary conditions
Jan Březina, Eduard Feireisl and Antonín Novotný
2021doi: 10.3934/dcds.2021009 +[Abstract](80) +[HTML](37) +[PDF](382.35KB)
Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions
Sishu Shankar Muni, Robert I. McLachlan and David J. W. Simpson
2021doi: 10.3934/dcds.2021010 +[Abstract](173) +[HTML](60) +[PDF](2234.71KB)
The number of nodal solutions for the Schrödinger–Poisson system under the effect of the weight function
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