Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication.

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ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007, details at AMS.

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Regularity criteria for weak solutions of the Magneto-micropolar equations
Jens Lorenz, Wilberclay G. Melo and Suelen C. P. de Souza
2021, 29(1) : 1625-1639 doi: 10.3934/era.2020083 +[Abstract](481) +[HTML](210) +[PDF](357.62KB)
Stability and Hopf bifurcation of the coexistence equilibrium for a differential-algebraic biological economic system with predator harvesting
Kerioui Nadjah and Abdelouahab Mohammed Salah
2021, 29(1) : 1641-1660 doi: 10.3934/era.2020084 +[Abstract](489) +[HTML](189) +[PDF](819.15KB)
Threshold dynamics of stochastic models with time delays: A case study for Yunnan, China
Zhimin Li, Tailei Zhang and Xiuqing Li
2021, 29(1) : 1661-1679 doi: 10.3934/era.2020085 +[Abstract](439) +[HTML](217) +[PDF](387.44KB)
Some properties for almost cellular algebras
Yongjie Wang and Nan Gao
2021, 29(1) : 1681-1689 doi: 10.3934/era.2020086 +[Abstract](412) +[HTML](209) +[PDF](297.34KB)
Global conservative solutions for a modified periodic coupled Camassa-Holm system
Rong Chen, Shihang Pan and Baoshuai Zhang
2021, 29(1) : 1691-1708 doi: 10.3934/era.2020087 +[Abstract](406) +[HTML](190) +[PDF](415.27KB)
On a final value problem for a nonlinear fractional pseudo-parabolic equation
Vo Van Au, Hossein Jafari, Zakia Hammouch and Nguyen Huy Tuan
2021, 29(1) : 1709-1734 doi: 10.3934/era.2020088 +[Abstract](691) +[HTML](171) +[PDF](484.76KB)
Error estimates for second-order SAV finite element method to phase field crystal model
Liupeng Wang and Yunqing Huang
2021, 29(1) : 1735-1752 doi: 10.3934/era.2020089 +[Abstract](519) +[HTML](218) +[PDF](883.1KB)
Some recent progress on inverse scattering problems within general polyhedral geometry
Xinlin Cao, Huaian Diao and Jinhong Li
2021, 29(1) : 1753-1782 doi: 10.3934/era.2020090 +[Abstract](422) +[HTML](246) +[PDF](492.02KB)
Asymptotic behavior of weak and strong solutions of the magnetohydrodynamic equations
José Luiz Boldrini, Jonathan Bravo-Olivares, Eduardo Notte-Cuello and Marko A. Rojas-Medar
2021, 29(1) : 1783-1801 doi: 10.3934/era.2020091 +[Abstract](400) +[HTML](162) +[PDF](424.01KB)
Combinatorics of some fifth and sixth order mock theta functions
Meenakshi Rana and Shruti Sharma
2021, 29(1) : 1803-1818 doi: 10.3934/era.2020092 +[Abstract](332) +[HTML](181) +[PDF](346.04KB)
A conservative semi-Lagrangian finite difference WENO scheme based on exponential integrator for one-dimensional scalar nonlinear hyperbolic equations
Guoliang Zhang, Shaoqin Zheng and Tao Xiong
2021, 29(1) : 1819-1839 doi: 10.3934/era.2020093 +[Abstract](473) +[HTML](285) +[PDF](522.1KB)
Skew doubled shifted plane partitions: Calculus and asymptotics
Guo-Niu Han and Huan Xiong
2021, 29(1) : 1841-1857 doi: 10.3934/era.2020094 +[Abstract](316) +[HTML](149) +[PDF](368.99KB)
Two-grid method for semiconductor device problem by mixed finite element method and characteristics finite element method
Ying Liu, Yanping Chen, Yunqing Huang and Yang Wang
2021, 29(1) : 1859-1880 doi: 10.3934/era.2020095 +[Abstract](408) +[HTML](172) +[PDF](2296.84KB)
Viscosity robust weak Galerkin finite element methods for Stokes problems
Bin Wang and Lin Mu
2021, 29(1) : 1881-1895 doi: 10.3934/era.2020096 +[Abstract](397) +[HTML](179) +[PDF](1246.21KB)
A weak Galerkin finite element method for nonlinear conservation laws
Xiu Ye, Shangyou Zhang and Peng Zhu
2021, 29(1) : 1897-1923 doi: 10.3934/era.2020097 +[Abstract](381) +[HTML](163) +[PDF](430.32KB)
Some multivariate polynomials for doubled permutations Special Issues
Bin Han
2020doi: 10.3934/era.2020098 +[Abstract](350) +[HTML](164) +[PDF](374.51KB)
The sharp time decay rate of the isentropic Navier-Stokes system in $ {\mathop{\mathbb R\kern 0pt}\nolimits}^3 $
Yuhui Chen, Ronghua Pan and Leilei Tong
2020doi: 10.3934/era.2020099 +[Abstract](265) +[HTML](153) +[PDF](444.77KB)
Regular random attractors for non-autonomous stochastic reaction-diffusion equations on thin domains Special Issues
Dingshi Li and Xuemin Wang
2020doi: 10.3934/era.2020100 +[Abstract](261) +[HTML](142) +[PDF](446.01KB)
Computational aspects of the multiscale discontinuous Galerkin method for convection-diffusion-reaction problems Special Issues
ShinJa Jeong and Mi-Young Kim
2020doi: 10.3934/era.2020101 +[Abstract](290) +[HTML](158) +[PDF](1500.19KB)
Decoupling PDE computation with intrinsic or inertial Robin interface condition Special Issues
Lian Zhang, Mingchao Cai and Mo Mu
2020doi: 10.3934/era.2020102 +[Abstract](297) +[HTML](158) +[PDF](3128.15KB)
On $ P_1 $ nonconforming finite element aproximation for the Signorini problem Special Issues
Mingxia Li, Dongying Hua and Hairong Lian
2020doi: 10.3934/era.2020103 +[Abstract](250) +[HTML](139) +[PDF](425.02KB)
Finite/fixed-time synchronization for complex networks via quantized adaptive control Special Issues
Yu-Jing Shi and Yan Ma
2020doi: 10.3934/era.2020104 +[Abstract](424) +[HTML](180) +[PDF](355.02KB)
Asymptotic behavior of the one-dimensional compressible micropolar fluid model Special Issues
Haibo Cui, Junpei Gao and Lei Yao
2020doi: 10.3934/era.2020105 +[Abstract](260) +[HTML](147) +[PDF](342.13KB)
The global supersonic flow with vacuum state in a 2D convex duct Special Issues
Jintao Li, Jindou Shen and Gang Xu
2020doi: 10.3934/era.2020106 +[Abstract](311) +[HTML](161) +[PDF](775.38KB)
A geometric-analytic study of linear differential equations of order two
Víctor León and Bruno Scárdua
2020doi: 10.3934/era.2020107 +[Abstract](397) +[HTML](117) +[PDF](439.97KB)
On a model of COVID-19 dynamics
Jorge Rebaza
2020doi: 10.3934/era.2020108 +[Abstract](266) +[HTML](135) +[PDF](393.41KB)
Integrating evolution equations using Fredholm determinants Special Issues
Feride Tığlay
2020doi: 10.3934/era.2020109 +[Abstract](200) +[HTML](111) +[PDF](264.92KB)
Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory Special Issues
Deyue Zhang and Yukun Guo
2020doi: 10.3934/era.2020110 +[Abstract](227) +[HTML](119) +[PDF](311.95KB)
More bijections for Entringer and Arnold families Special Issues
Heesung Shin and Jiang Zeng
2020doi: 10.3934/era.2020111 +[Abstract](308) +[HTML](118) +[PDF](418.67KB)
Pullback attractors for stochastic recurrent neural networks with discrete and distributed delays Special Issues
Meiyu Sui, Yejuan Wang and Peter E. Kloeden
2020doi: 10.3934/era.2020112 +[Abstract](230) +[HTML](124) +[PDF](494.53KB)
Continuous data assimilation applied to a velocity-vorticity formulation of the 2D Navier-Stokes equations Special Issues
Matthew Gardner, Adam Larios, Leo G. Rebholz, Duygu Vargun and Camille Zerfas
2020doi: 10.3934/era.2020113 +[Abstract](209) +[HTML](132) +[PDF](5363.96KB)
Solvability of the matrix equation $ AX^{2} = B $ with semi-tensor product Special Issues
Jin Wang, Jun-E Feng and Hua-Lin Huang
2020doi: 10.3934/era.2020114 +[Abstract](244) +[HTML](143) +[PDF](400.64KB)
Propagation dynamics of nonlocal dispersal equations with inhomogeneous bistable nonlinearity
Shao-Xia Qiao and Li-Jun Du
2020doi: 10.3934/era.2020116 +[Abstract](181) +[HTML](72) +[PDF](342.93KB)
On projective threefolds of general type with small positive geometric genus
Meng Chen, Yong Hu and Matteo Penegini
2020doi: 10.3934/era.2020117 +[Abstract](161) +[HTML](69) +[PDF](466.62KB)
Traveling wave solution for a diffusion SEIR epidemic model with self-protection and treatment
Hai-Feng Huo, Shi-Ke Hu and Hong Xiang
2020doi: 10.3934/era.2020118 +[Abstract](182) +[HTML](95) +[PDF](709.18KB)
Refined asymptotic behavior and uniqueness of large solutions to a quasilinear elliptic equation in a borderline case
Yongxiu Shi and Haitao Wan
2020doi: 10.3934/era.2020119 +[Abstract](188) +[HTML](69) +[PDF](353.08KB)
A conforming discontinuous Galerkin finite element method on rectangular partitions Special Issues
Yue Feng, Yujie Liu, Ruishu Wang and Shangyou Zhang
2020doi: 10.3934/era.2020120 +[Abstract](189) +[HTML](73) +[PDF](298.59KB)
On recent progress of single-realization recoveries of random Schrödinger systems Special Issues
Shiqi Ma
2020doi: 10.3934/era.2020121 +[Abstract](181) +[HTML](79) +[PDF](642.99KB)
Continuous subsonic-sonic flows in a two-dimensional semi-infinitely long nozzle Special Issues
Mingjun Zhou and Jingxue Yin
2020doi: 10.3934/era.2020122 +[Abstract](157) +[HTML](74) +[PDF](490.52KB)
Classification of finite irreducible conformal modules over Lie conformal algebra $ \mathcal{W}(a, b, r) $ Special Issues
Wenjun Liu, Yukun Xiao and Xiaoqing Yue
2020doi: 10.3934/era.2020123 +[Abstract](194) +[HTML](81) +[PDF](306.09KB)
A generalization on derivations of Lie algebras
Hongliang Chang, Yin Chen and Runxuan Zhang
2020doi: 10.3934/era.2020124 +[Abstract](159) +[HTML](54) +[PDF](397.64KB)
The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations
Li Cai and Fubao Zhang
2020doi: 10.3934/era.2020125 +[Abstract](127) +[HTML](55) +[PDF](333.03KB)
Hybridized weak Galerkin finite element methods for Brinkman equations Special Issues
Jiwei Jia, Young-Ju Lee, Yue Feng, Zichan Wang and Zhongshu Zhao
2020doi: 10.3934/era.2020126 +[Abstract](136) +[HTML](51) +[PDF](444.9KB)
A four-field mixed finite element method for Biot's consolidation problems Special Issues
Wenya Qi, Padmanabhan Seshaiyer and Junping Wang
2020doi: 10.3934/era.2020127 +[Abstract](121) +[HTML](50) +[PDF](396.68KB)
Efficient computations for linear feedback control problems for target velocity matching of Navier-Stokes flows via POD and LSTM-ROM Special Issues
Hyung-Chun Lee
2020doi: 10.3934/era.2020128 +[Abstract](125) +[HTML](58) +[PDF](6771.49KB)
Note on coisotropic Floer homology and leafwise fixed points
Fabian Ziltener
2021doi: 10.3934/era.2021001 +[Abstract](36) +[HTML](13) +[PDF](296.46KB)
Classification and simulation of chaotic behaviour of the solutions of a mixed nonlinear Schrödinger system
Riadh Chteoui, Abdulrahman F. Aljohani and Anouar Ben Mabrouk
2021doi: 10.3934/era.2021002 +[Abstract](117) +[HTML](19) +[PDF](1460.42KB)
Global stability of traveling waves for a spatially discrete diffusion system with time delay
Ting Liu and Guo-Bao Zhang
2021doi: 10.3934/era.2021003 +[Abstract](45) +[HTML](14) +[PDF](362.16KB)
On the universal $ \alpha $-central extensions of the semi-direct product of Hom-preLie algebras
Bing Sun, Liangyun Chen and Yan Cao
2021doi: 10.3934/era.2021004 +[Abstract](30) +[HTML](15) +[PDF](388.95KB)
Tori can't collapse to an interval
Sergio Zamora
2021doi: 10.3934/era.2021005 +[Abstract](41) +[HTML](12) +[PDF](370.74KB)
$ C^* $-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms
Kengo Matsumoto
2021doi: 10.3934/era.2021006 +[Abstract](32) +[HTML](14) +[PDF](299.13KB)
Telescoping method, summation formulas, and inversion pairs Special Issues
Qing-Hu Hou and Yarong Wei
2021doi: 10.3934/era.2021007 +[Abstract](38) +[HTML](25) +[PDF](329.28KB)
Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra Special Issues
Hongyan Guo
2021doi: 10.3934/era.2021008 +[Abstract](30) +[HTML](12) +[PDF](320.19KB)
Non-existence of solutions to some degenerate coercivity elliptic equations involving measures data
Maoji Ri, Shuibo Huang and Canyun Huang
2020, 28: 165-182 doi: 10.3934/era.2020011 +[Abstract](685) +[HTML](322) +[PDF](392.76KB) Cited By(4)
Rough semi-uniform spaces and its image proximities
Surabhi Tiwari and Pankaj Kumar Singh
2020, 28: 1095-1106 doi: 10.3934/era.2020060 +[Abstract](487) +[HTML](266) +[PDF](3941.13KB) Cited By(2)
Well-posed final value problems and Duhamel's formula for coercive Lax–Milgram operators
Jon Johnsen
2019, 27: 20-36 doi: 10.3934/era.2019008 +[Abstract](1121) +[HTML](556) +[PDF](448.4KB) Cited By(2)
On the time decay in phase–lag thermoelasticity with two temperatures
Antonio Magaña, Alain Miranville and Ramón Quintanilla
2019, 27: 7-19 doi: 10.3934/era.2019007 +[Abstract](1434) +[HTML](634) +[PDF](365.4KB) Cited By(2)
Strong $ (L^2,L^\gamma\cap H_0^1) $-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension
Hongyong Cui, Peter E. Kloeden and Wenqiang Zhao
2020, 28: 1357-1374 doi: 10.3934/era.2020072 +[Abstract](497) +[HTML](238) +[PDF](384.95KB) Cited By(1)
Riemann-Liouville derivative over the space of integrable distributions
María Guadalupe Morales, Zuzana Došlá and Francisco J. Mendoza
2020, 28: 567-587 doi: 10.3934/era.2020030 +[Abstract](693) +[HTML](357) +[PDF](371.26KB) Cited By(1)
A note on sign-changing solutions for the Schrödinger Poisson system
Hui Guo and Tao Wang
2020, 28: 195-203 doi: 10.3934/era.2020013 +[Abstract](749) +[HTML](364) +[PDF](332.0KB) Cited By(1)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
Guenbo Hwang and Byungsoo Moon
2020, 28: 15-25 doi: 10.3934/era.2020002 +[Abstract](998) +[HTML](513) +[PDF](327.55KB) Cited By(1)
Asymptotic behaviour of a neural field lattice model with delays
Xiaoli Wang, Peter Kloeden and Meihua Yang
2020, 28: 1037-1048 doi: 10.3934/era.2020056 +[Abstract](385) +[HTML](214) +[PDF](331.11KB) Cited By(1)
$ H^2 $ blowup result for a Schrödinger equation with nonlinear source term
Xuan Liu and Ting Zhang
2020, 28: 777-794 doi: 10.3934/era.2020039 +[Abstract](603) +[HTML](444) +[PDF](392.34KB) Cited By(1)
A conjecture on cluster automorphisms of cluster algebras
Peigen Cao, Fang Li, Siyang Liu and Jie Pan
2019, 27: 1-6 doi: 10.3934/era.2019006 +[Abstract](1646) +[HTML](716) +[PDF](313.13KB) PDF Downloads(334)
Traveling waves for a nonlocal dispersal SIR model equipped delay and generalized incidence
Yang Yang, Yun-Rui Yang and Xin-Jun Jiao
2020, 28: 1-13 doi: 10.3934/era.2020001 +[Abstract](1103) +[HTML](510) +[PDF](369.78KB) PDF Downloads(259)
The global conservative solutions for the generalized camassa-holm equation
Li Yang, Chunlai Mu, Shouming Zhou and Xinyu Tu
2019, 27: 37-67 doi: 10.3934/era.2019009 +[Abstract](1124) +[HTML](531) +[PDF](562.79KB) PDF Downloads(258)
$ H^2 $ blowup result for a Schrödinger equation with nonlinear source term
Xuan Liu and Ting Zhang
2020, 28: 777-794 doi: 10.3934/era.2020039 +[Abstract](603) +[HTML](444) +[PDF](392.34KB) PDF Downloads(253)
A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction
Zexuan Liu, Zhiyuan Sun and Jerry Zhijian Yang
2020, 28: 1487-1501 doi: 10.3934/era.2020078 +[Abstract](546) +[HTML](240) +[PDF](5508.22KB) PDF Downloads(242)
Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu and Yuanran Zhu
2020, 28: 91-102 doi: 10.3934/era.2020006 +[Abstract](1013) +[HTML](520) +[PDF](299.33KB) PDF Downloads(226)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
Guenbo Hwang and Byungsoo Moon
2020, 28: 15-25 doi: 10.3934/era.2020002 +[Abstract](998) +[HTML](513) +[PDF](327.55KB) PDF Downloads(219)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, 28: 67-90 doi: 10.3934/era.2020005 +[Abstract](1024) +[HTML](499) +[PDF](777.08KB) PDF Downloads(208)
Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces
Muwafaq Salih and Árpád Száz
2020, 28: 471-548 doi: 10.3934/era.2020027 +[Abstract](751) +[HTML](460) +[PDF](771.11KB) PDF Downloads(201)
Two congruences concerning Apéry numbers conjectured by Z.-W. Sun
Chen Wang
2020, 28: 1063-1075 doi: 10.3934/era.2020058 +[Abstract](504) +[HTML](237) +[PDF](312.55KB) PDF Downloads(201)

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