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.


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


  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 4 issues a year in March, June, September and December.
  • Archived in Portico and CLOCKSS.
  • ERA is a publication of the American Institute of Mathematical Sciences. All rights reserved.

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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) : 1-13 doi: 10.3934/era.2020001 +[Abstract](391) +[HTML](170) +[PDF](369.78KB)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion Special Issues
Guenbo Hwang and Byungsoo Moon
2020, 28(1) : 15-25 doi: 10.3934/era.2020002 +[Abstract](319) +[HTML](172) +[PDF](327.55KB)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities Special Issues
Yue Cao
2020, 28(1) : 27-46 doi: 10.3934/era.2020003 +[Abstract](274) +[HTML](142) +[PDF](346.98KB)
The existence of solutions for a shear thinning compressible non-Newtonian models Special Issues
Yukun Song, Yang Chen, Jun Yan and Shuai Chen
2020, 28(1) : 47-66 doi: 10.3934/era.2020004 +[Abstract](275) +[HTML](150) +[PDF](413.61KB)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation Special Issues
Jun Zhou
2020, 28(1) : 67-90 doi: 10.3934/era.2020005 +[Abstract](322) +[HTML](163) +[PDF](777.08KB)
Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems Special Issues
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu and Yuanran Zhu
2020, 28(1) : 91-102 doi: 10.3934/era.2020006 +[Abstract](312) +[HTML](152) +[PDF](299.33KB)
The Mahler measure of $ (x+1/x)(y+1/y)(z+1/z)+\sqrt{k} $
Huimin Zheng, Xuejun Guo and Hourong Qin
2020, 28(1) : 103-125 doi: 10.3934/era.2020007 +[Abstract](265) +[HTML](136) +[PDF](417.89KB)
Decomposition of spectral flow and Bott-type iteration formula
Xijun Hu and Li Wu
2020, 28(1) : 127-148 doi: 10.3934/era.2020008 +[Abstract](77) +[HTML](38) +[PDF](396.67KB)
On the existence of permutations conditioned by certain rational functions
Guo-Niu Han
2020, 28(1) : 149-156 doi: 10.3934/era.2020009 +[Abstract](75) +[HTML](44) +[PDF](275.19KB)
Ricci solitons of the $ \mathbb{H}^{2} \times \mathbb{R} $ Lie group
Lakehal Belarbi
2020, 28(1) : 157-163 doi: 10.3934/era.2020010 +[Abstract](71) +[HTML](60) +[PDF](254.67KB)
Non-existence of solutions to some degenerate coercivity elliptic equations involving measures data
Maoji Ri, Shuibo Huang and Canyun Huang
2020, 28(1) : 165-182 doi: 10.3934/era.2020011 +[Abstract](92) +[HTML](39) +[PDF](392.76KB)
The anisotropic integrability logarithmic regularity criterion for the 3D MHD equations
Ahmad Mohammad Alghamdi, Sadek Gala, Chenyin Qian and Maria Alessandra Ragusa
2020, 28(1) : 183-193 doi: 10.3934/era.2020012 +[Abstract](90) +[HTML](39) +[PDF](341.22KB)
A note on sign-changing solutions for the Schrödinger Poisson system
Hui Guo and Tao Wang
2020, 28(1) : 195-203 doi: 10.3934/era.2020013 +[Abstract](96) +[HTML](46) +[PDF](332.0KB)
Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights
Vanessa Barros, Carlos Nonato and Carlos Raposo
2020, 28(1) : 205-220 doi: 10.3934/era.2020014 +[Abstract](97) +[HTML](37) +[PDF](347.49KB)
Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source
Huafei Di, Yadong Shang and Jiali Yu
2020, 28(1) : 221-261 doi: 10.3934/era.2020015 +[Abstract](96) +[HTML](46) +[PDF](498.76KB)
The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
Gongwei Liu
2020, 28(1) : 263-289 doi: 10.3934/era.2020016 +[Abstract](91) +[HTML](40) +[PDF](383.54KB)
Normalized solutions for Choquard equations with general nonlinearities
Shuai Yuan, Sitong Chen and Xianhua Tang
2020, 28(1) : 291-309 doi: 10.3934/era.2020017 +[Abstract](107) +[HTML](42) +[PDF](418.12KB)
Long-time behavior of a class of viscoelastic plate equations
Yang Liu
2020, 28(1) : 311-326 doi: 10.3934/era.2020018 +[Abstract](90) +[HTML](47) +[PDF](371.44KB)
Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces
Shaoqiang Shang and Yunan Cui
2020, 28(1) : 327-346 doi: 10.3934/era.2020019 +[Abstract](89) +[HTML](50) +[PDF](358.13KB)
Blow-up in damped abstract nonlinear equations
Jorge A. Esquivel-Avila
2020, 28(1) : 347-367 doi: 10.3934/era.2020020 +[Abstract](113) +[HTML](51) +[PDF](404.01KB)
Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition
Mingyou Zhang, Qingsong Zhao, Yu Liu and Wenke Li
2020, 28(1) : 369-381 doi: 10.3934/era.2020021 +[Abstract](91) +[HTML](38) +[PDF](319.98KB)
Existence and asymptotic behavior of bound states for a class of nonautonomous Schrödinger-Poisson system
Lirong Huang and Jianqing Chen
2020, 28(1) : 383-404 doi: 10.3934/era.2020022 +[Abstract](78) +[HTML](37) +[PDF](395.33KB)
Energy minimization and preconditioning in the simulation of athermal granular materials in two dimensions
Haolei Wang and Lei Zhang
2020, 28(1) : 405-421 doi: 10.3934/era.2020023 +[Abstract](75) +[HTML](48) +[PDF](1697.67KB)
On the mutual singularity of multifractal measures
Zied Douzi and Bilel Selmi
2020, 28(1) : 423-432 doi: 10.3934/era.2020024 +[Abstract](91) +[HTML](36) +[PDF](324.42KB)
New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory
Wenjun Liu, Zhijing Chen and Zhiyu Tu
2020, 28(1) : 433-457 doi: 10.3934/era.2020025 +[Abstract](111) +[HTML](42) +[PDF](421.49KB)
The digital smash product
Ismet Cinar, Ozgur Ege and Ismet Karaca
2020, 28(1) : 459-469 doi: 10.3934/era.2020026 +[Abstract](93) +[HTML](48) +[PDF](371.39KB)
Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces
Muwafaq Salih and Árpád Száz
2020, 28(1) : 471-548 doi: 10.3934/era.2020027 +[Abstract](130) +[HTML](181) +[PDF](771.11KB)
Existence of best proximity points satisfying two constraint inequalities
Duraisamy Balraj, Muthaiah Marudai, Zoran D. Mitrovic, Ozgur Ege and Veeraraghavan Piramanantham
2020, 28(1) : 549-557 doi: 10.3934/era.2020028 +[Abstract](87) +[HTML](49) +[PDF](251.01KB)
On sums of four pentagonal numbers with coefficients
Dmitry Krachun and Zhi-Wei Sun
2020, 28(1) : 559-566 doi: 10.3934/era.2020029 +[Abstract](89) +[HTML](59) +[PDF](252.96KB)
Long-time behavior of a class of viscoelastic plate equations
Yang Liu
2020, 28: 311-326 doi: 10.3934/era.2020018 +[Abstract](90) +[HTML](47) +[PDF](371.44KB) Cited By(0)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, 28: 27-46 doi: 10.3934/era.2020003 +[Abstract](274) +[HTML](142) +[PDF](346.98KB) Cited By(0)
The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
Gongwei Liu
2020, 28: 263-289 doi: 10.3934/era.2020016 +[Abstract](91) +[HTML](40) +[PDF](383.54KB) Cited By(0)
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](96) +[HTML](46) +[PDF](332.0KB) Cited By(0)
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](319) +[HTML](172) +[PDF](327.55KB) Cited By(0)
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](130) +[HTML](181) +[PDF](771.11KB) Cited By(0)
The digital smash product
Ismet Cinar, Ozgur Ege and Ismet Karaca
2020, 28: 459-469 doi: 10.3934/era.2020026 +[Abstract](93) +[HTML](48) +[PDF](371.39KB) Cited By(0)
Some universal quadratic sums over the integers
Hai-Liang Wu and Zhi-Wei Sun
2019, 27: 69-87 doi: 10.3934/era.2019010 +[Abstract](294) +[HTML](147) +[PDF](394.36KB) Cited By(0)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, 28: 67-90 doi: 10.3934/era.2020005 +[Abstract](322) +[HTML](163) +[PDF](777.08KB) Cited By(0)
The existence of solutions for a shear thinning compressible non-Newtonian models
Yukun Song, Yang Chen, Jun Yan and Shuai Chen
2020, 28: 47-66 doi: 10.3934/era.2020004 +[Abstract](275) +[HTML](150) +[PDF](413.61KB) Cited By(0)
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](891) +[HTML](382) +[PDF](313.13KB) PDF Downloads(268)
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](391) +[HTML](170) +[PDF](369.78KB) PDF Downloads(172)
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](501) +[HTML](216) +[PDF](562.79KB) PDF Downloads(168)
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](312) +[HTML](152) +[PDF](299.33KB) PDF Downloads(156)
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](617) +[HTML](280) +[PDF](365.4KB) PDF Downloads(136)
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](319) +[HTML](172) +[PDF](327.55KB) PDF Downloads(134)
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](444) +[HTML](226) +[PDF](448.4KB) PDF Downloads(112)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, 28: 67-90 doi: 10.3934/era.2020005 +[Abstract](322) +[HTML](163) +[PDF](777.08KB) PDF Downloads(110)
The existence of solutions for a shear thinning compressible non-Newtonian models
Yukun Song, Yang Chen, Jun Yan and Shuai Chen
2020, 28: 47-66 doi: 10.3934/era.2020004 +[Abstract](275) +[HTML](150) +[PDF](413.61KB) PDF Downloads(105)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, 28: 27-46 doi: 10.3934/era.2020003 +[Abstract](274) +[HTML](142) +[PDF](346.98KB) PDF Downloads(96)

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