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Discrete & Continuous Dynamical Systems (DCDS) 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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Measures and stabilizers of group Cantor actions
Maik Gröger and Olga Lukina
2021, 41(5) : 2001-2029 doi: 10.3934/dcds.2020350 +[Abstract](401) +[HTML](220) +[PDF](432.03KB)
A $ G^{\delta, 1} $ almost conservation law for mCH and the evolution of its radius of spatial analyticity
A. Alexandrou Himonas and Gerson Petronilho
2021, 41(5) : 2031-2050 doi: 10.3934/dcds.2020351 +[Abstract](368) +[HTML](178) +[PDF](398.96KB)
Cylinder absolute games on solenoids
L. Singhal
2021, 41(5) : 2051-2070 doi: 10.3934/dcds.2020352 +[Abstract](448) +[HTML](169) +[PDF](401.73KB)
Entropy conjugacy for Markov multi-maps of the interval
James P. Kelly and Kevin McGoff
2021, 41(5) : 2071-2094 doi: 10.3934/dcds.2020353 +[Abstract](289) +[HTML](161) +[PDF](469.86KB)
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
Zhiping Fan and Duanzhi Zhang
2021, 41(5) : 2095-2124 doi: 10.3934/dcds.2020354 +[Abstract](359) +[HTML](164) +[PDF](429.59KB)
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
Julián Fernández Bonder, Analía Silva and Juan F. Spedaletti
2021, 41(5) : 2125-2140 doi: 10.3934/dcds.2020355 +[Abstract](337) +[HTML](160) +[PDF](356.78KB)
Thermodynamic formalism of $ \text{GL}_2(\mathbb{R}) $-cocycles with canonical holonomies
Clark Butler and Kiho Park
2021, 41(5) : 2141-2166 doi: 10.3934/dcds.2020356 +[Abstract](346) +[HTML](174) +[PDF](478.07KB)
Radially symmetric stationary wave for two-dimensional Burgers equation
Huijiang Zhao and Qingsong Zhao
2021, 41(5) : 2167-2185 doi: 10.3934/dcds.2020357 +[Abstract](321) +[HTML](174) +[PDF](410.58KB)
Integral equations on compact CR manifolds
Yazhou Han
2021, 41(5) : 2187-2204 doi: 10.3934/dcds.2020358 +[Abstract](334) +[HTML](171) +[PDF](419.93KB)
Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $
Jiyoung Han
2021, 41(5) : 2205-2225 doi: 10.3934/dcds.2020359 +[Abstract](296) +[HTML](161) +[PDF](410.35KB)
Martingale solution for stochastic active liquid crystal system
Zhaoyang Qiu and Yixuan Wang
2021, 41(5) : 2227-2268 doi: 10.3934/dcds.2020360 +[Abstract](312) +[HTML](157) +[PDF](476.21KB)
Liouville type theorems for fractional and higher-order fractional systems
Daomin Cao and Guolin Qin
2021, 41(5) : 2269-2283 doi: 10.3934/dcds.2020361 +[Abstract](353) +[HTML](156) +[PDF](424.93KB)
Sliding method for the semi-linear elliptic equations involving the uniformly elliptic nonlocal operators
Meng Qu, Jiayan Wu and Ting Zhang
2021, 41(5) : 2285-2300 doi: 10.3934/dcds.2020362 +[Abstract](394) +[HTML](165) +[PDF](354.2KB)
On the asymptotic properties for stationary solutions to the Navier-Stokes equations
Oleg Imanuvilov
2021, 41(5) : 2301-2340 doi: 10.3934/dcds.2020366 +[Abstract](270) +[HTML](156) +[PDF](483.01KB)
Well-posedness of renormalized solutions for a stochastic $ p $-Laplace equation with $ L^1 $-initial data
Niklas Sapountzoglou and Aleksandra Zimmermann
2021, 41(5) : 2341-2376 doi: 10.3934/dcds.2020367 +[Abstract](283) +[HTML](150) +[PDF](483.8KB)
On the vanishing discount problem from the negative direction
Andrea Davini and Lin Wang
2021, 41(5) : 2377-2389 doi: 10.3934/dcds.2020368 +[Abstract](311) +[HTML](146) +[PDF](357.56KB)
Genetics of iterative roots for PM functions
Liu Liu and Weinian Zhang
2021, 41(5) : 2391-2409 doi: 10.3934/dcds.2020369 +[Abstract](275) +[HTML](159) +[PDF](335.56KB)
Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations
Hayato Miyazaki
2021, 41(5) : 2411-2445 doi: 10.3934/dcds.2020370 +[Abstract](372) +[HTML](142) +[PDF](457.21KB)
Stabilizability in optimization problems with unbounded data
Anna Chiara Lai and Monica Motta
2021, 41(5) : 2447-2474 doi: 10.3934/dcds.2020371 +[Abstract](301) +[HTML](152) +[PDF](455.32KB)
Orbital and asymptotic stability of a train of peakons for the Novikov equation
José Manuel Palacios
2021, 41(5) : 2475-2518 doi: 10.3934/dcds.2020372 +[Abstract](286) +[HTML](163) +[PDF](595.58KB)
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](286) +[HTML](138) +[PDF](384.37KB)
Comparison theorem for diagonally quadratic BSDEs
Peng Luo
2020doi: 10.3934/dcds.2020374 +[Abstract](327) +[HTML](133) +[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](331) +[HTML](141) +[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](359) +[HTML](146) +[PDF](348.12KB)
Second order estimates for complex Hessian equations on Hermitian manifolds
Weisong Dong and Chang Li
2020doi: 10.3934/dcds.2020377 +[Abstract](348) +[HTML](148) +[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](363) +[HTML](138) +[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](367) +[HTML](156) +[PDF](439.63KB)
Čech cohomology, homoclinic trajectories and robustness of non-saddle sets
Héctor Barge
2020doi: 10.3934/dcds.2020381 +[Abstract](287) +[HTML](136) +[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](496) +[HTML](128) +[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](345) +[HTML](130) +[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](310) +[HTML](123) +[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](314) +[HTML](127) +[PDF](384.63KB)
Properties of multicorrelation sequences and large returns under some ergodicity assumptions
Andreu Ferré Moragues
2020doi: 10.3934/dcds.2020386 +[Abstract](289) +[HTML](133) +[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](250) +[HTML](96) +[PDF](1060.54KB)
Approximation properties of Lüroth expansions
Bo Tan and Qinglong Zhou
2020doi: 10.3934/dcds.2020389 +[Abstract](260) +[HTML](90) +[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](253) +[HTML](100) +[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](210) +[HTML](100) +[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](243) +[HTML](110) +[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](144) +[HTML](75) +[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](255) +[HTML](126) +[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](263) +[HTML](100) +[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](257) +[HTML](104) +[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](199) +[HTML](109) +[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](261) +[HTML](111) +[PDF](444.91KB)
Extensions of expansive dynamical systems
Mauricio Achigar
2020doi: 10.3934/dcds.2020399 +[Abstract](243) +[HTML](98) +[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](275) +[HTML](105) +[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](255) +[HTML](110) +[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](248) +[HTML](102) +[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](327) +[HTML](107) +[PDF](803.87KB)
Another point of view on Kusuoka's measure
Ugo Bessi
2020doi: 10.3934/dcds.2020404 +[Abstract](221) +[HTML](100) +[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](257) +[HTML](90) +[PDF](588.46KB)
Complex planar Hamiltonian systems: Linearization and dynamics
Hua Shi, Xiang Zhang and Yuyan Zhang
2020doi: 10.3934/dcds.2020406 +[Abstract](213) +[HTML](105) +[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](256) +[HTML](99) +[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](221) +[HTML](92) +[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](203) +[HTML](100) +[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](165) +[HTML](64) +[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](131) +[HTML](67) +[PDF](444.87KB)
Constant-speed ramps for a central force field
Rafael López and Óscar Perdomo
2021doi: 10.3934/dcds.2021003 +[Abstract](124) +[HTML](58) +[PDF](543.33KB)
Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
Françoise Demengel
2021doi: 10.3934/dcds.2021004 +[Abstract](123) +[HTML](65) +[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](149) +[HTML](70) +[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](136) +[HTML](69) +[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](180) +[HTML](91) +[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](188) +[HTML](87) +[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](160) +[HTML](87) +[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](397) +[HTML](114) +[PDF](2234.71KB)
The number of nodal solutions for the Schrödinger–Poisson system under the effect of the weight function
Juntao Sun and Tsung-fang Wu
2021doi: 10.3934/dcds.2021011 +[Abstract](192) +[HTML](93) +[PDF](448.81KB)
A dynamical approach to lower and upper solutions for planar systems "To the memory of Massimo Tarallo"
Alessandro Fonda and Rodica Toader
2021doi: 10.3934/dcds.2021012 +[Abstract](204) +[HTML](88) +[PDF](393.2KB)
Proximality of multidimensional $ \mathscr{B} $-free systems
Aurelia Dymek
2021doi: 10.3934/dcds.2021013 +[Abstract](145) +[HTML](76) +[PDF](414.4KB)
Martin boundary of brownian motion on Gromov hyperbolic metric graphs
Soonki Hong and Seonhee Lim
2021doi: 10.3934/dcds.2021014 +[Abstract](164) +[HTML](79) +[PDF](620.42KB)
Stability of Broucke's isosceles orbit
Skyler Simmons
2021doi: 10.3934/dcds.2021015 +[Abstract](148) +[HTML](64) +[PDF](463.95KB)
Chaotic Delone sets
Jesús A. Álvarez López, Ramón Barral Lijó, John Hunton, Hiraku Nozawa and John R. Parker
2021doi: 10.3934/dcds.2021016 +[Abstract](169) +[HTML](71) +[PDF](892.01KB)
On fair entropy of the tent family
Bing Gao and Rui Gao
2021doi: 10.3934/dcds.2021017 +[Abstract](152) +[HTML](65) +[PDF](388.71KB)
Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five
Norman Noguera and Ademir Pastor
2021doi: 10.3934/dcds.2021018 +[Abstract](160) +[HTML](72) +[PDF](388.27KB)
On the splitting method for the nonlinear Schrödinger equation with initial data in $ H^1 $
Woocheol Choi and Youngwoo Koh
2021doi: 10.3934/dcds.2021019 +[Abstract](109) +[HTML](62) +[PDF](480.82KB)
Random substitution tilings and deviation phenomena
Scott Schmieding and Rodrigo Treviño
2021doi: 10.3934/dcds.2021020 +[Abstract](112) +[HTML](62) +[PDF](518.48KB)
On the cardinality of collisional clusters for hard spheres at low density
Mario Pulvirenti and Sergio Simonella
2021doi: 10.3934/dcds.2021021 +[Abstract](118) +[HTML](67) +[PDF](404.63KB)
A remark on the well-posedness of the modified KdV equation in the Fourier-Lebesgue spaces
Andreia Chapouto
2021doi: 10.3934/dcds.2021022 +[Abstract](114) +[HTML](66) +[PDF](520.06KB)
Response solutions for degenerate reversible harmonic oscillators
Wen Si
2021doi: 10.3934/dcds.2021023 +[Abstract](122) +[HTML](62) +[PDF](379.8KB)
Decay estimates for nonlinear Schrödinger equations
Chenjie Fan and Zehua Zhao
2021doi: 10.3934/dcds.2021024 +[Abstract](139) +[HTML](66) +[PDF](301.09KB)
Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics
José A. Carrillo, Bertram Düring, Lisa Maria Kreusser and Carola-Bibiane Schönlieb
2021doi: 10.3934/dcds.2021025 +[Abstract](146) +[HTML](58) +[PDF](1713.26KB)
Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Shuichi Jimbo and Yoshihisa Morita
2021doi: 10.3934/dcds.2021026 +[Abstract](139) +[HTML](67) +[PDF](679.98KB)
On the dynamics of 3D electrified falling films
Jiao He and Rafael Granero-Belinchón
2021doi: 10.3934/dcds.2021027 +[Abstract](118) +[HTML](58) +[PDF](705.78KB)
Global generalized solutions to a chemotaxis model of capillary-sprout growth during tumor angiogenesis
Xueli Bai and Wenji Zhang
2021doi: 10.3934/dcds.2021028 +[Abstract](107) +[HTML](65) +[PDF](429.54KB)
Best approximation of orbits in iterated function systems
Saisai Shi, Bo Tan and Qinglong Zhou
2021doi: 10.3934/dcds.2021029 +[Abstract](153) +[HTML](58) +[PDF](381.07KB)
On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension $ n $
Yanheng Ding, Xiaojing Dong and Qi Guo
2021doi: 10.3934/dcds.2021030 +[Abstract](103) +[HTML](56) +[PDF](404.35KB)
Existence of solution for a class of heat equation in whole $ \mathbb{R}^N $
Claudianor O. Alves and Tahir Boudjeriou
2021doi: 10.3934/dcds.2021031 +[Abstract](84) +[HTML](44) +[PDF](419.68KB)
Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching
Dan Li and Hui Wan
2021doi: 10.3934/dcds.2021032 +[Abstract](106) +[HTML](60) +[PDF](504.1KB)
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations
Mostafa Fazly and Yuan Li
2021doi: 10.3934/dcds.2021033 +[Abstract](95) +[HTML](48) +[PDF](443.91KB)
Local well-posedness for the derivative nonlinear Schrödinger equation with $ L^2 $-subcritical data
Shaoming Guo, Xianfeng Ren and Baoxiang Wang
2021doi: 10.3934/dcds.2021034 +[Abstract](113) +[HTML](74) +[PDF](572.43KB)
Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues
Yuncherl Choi, Taeyoung Ha, Jongmin Han, Sewoong Kim and Doo Seok Lee
2021doi: 10.3934/dcds.2021035 +[Abstract](105) +[HTML](49) +[PDF](1894.09KB)
Singular double-phase systems with variable growth for the Baouendi-Grushin operator
Anouar Bahrouni and Vicenţiu D. Rădulescu
2021doi: 10.3934/dcds.2021036 +[Abstract](115) +[HTML](49) +[PDF](324.37KB)
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](6651) +[PDF](382.7KB) Cited By(303)
Variational methods for non-local operators of elliptic type
Raffaella Servadei and Enrico Valdinoci
2013, 33(5) : 2105-2137 doi: 10.3934/dcds.2013.33.2105 +[Abstract](4777) +[PDF](418.8KB) Cited By(275)
Global well-posedness of the viscous Boussinesq equations
Thomas Y. Hou and Congming Li
2005, 12(1) : 1-12 doi: 10.3934/dcds.2005.12.1 +[Abstract](3526) +[PDF](203.5KB) Cited By(205)
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](5003) +[PDF](233.8KB) Cited By(200)
Global attractors for damped semilinear wave equations
John M. Ball
2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](6213) +[PDF](246.2KB) Cited By(192)
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](6811) +[PDF](262.8KB) Cited By(192)
Partial regularity of the dynamic system modeling the flow of liquid crystals
Fanghua Lin and Chun Liu
1996, 2(1) : 1-22 doi: 10.3934/dcds.1996.2.1 +[Abstract](3199) +[PDF](222.9KB) Cited By(168)
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](5338) +[PDF](369.4KB) Cited By(167)
Remarks on regularities for the 3D MHD equations
Yong Zhou
2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](3826) +[PDF](176.3KB) Cited By(163)
Vacuum states for compressible flow
Tai-Ping Liu, Zhouping Xin and Tong Yang
1998, 4(1) : 1-32 doi: 10.3934/dcds.1998.4.1 +[Abstract](3440) +[PDF](760.7KB) Cited By(144)
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](5338) +[PDF](369.4KB) PDF Downloads(1460)
Some questions looking for answers in dynamical systems
Carles Simó
2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](4802) +[HTML](362) +[PDF](531.03KB) PDF Downloads(1442)
Differentiability of the Hartman--Grobman linearization
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