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.

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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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](70) +[HTML](37) +[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](51) +[HTML](24) +[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](54) +[HTML](22) +[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](48) +[HTML](24) +[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](61) +[HTML](40) +[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](64) +[HTML](27) +[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](38) +[HTML](23) +[PDF](417.89KB)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, 28: 27-46 doi: 10.3934/era.2020003 +[Abstract](54) +[HTML](22) +[PDF](346.98KB) 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](51) +[HTML](24) +[PDF](327.55KB) 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](127) +[HTML](46) +[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](61) +[HTML](40) +[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](48) +[HTML](24) +[PDF](413.61KB) Cited By(0)
The Mahler measure of $ (x+1/x)(y+1/y)(z+1/z)+\sqrt{k} $
Huimin Zheng, Xuejun Guo and Hourong Qin
2020, 28: 103-125 doi: 10.3934/era.2020007 +[Abstract](38) +[HTML](23) +[PDF](417.89KB) 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](663) +[HTML](271) +[PDF](313.13KB) Cited By(0)
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](64) +[HTML](27) +[PDF](299.33KB) Cited By(0)
Asymptotic spreading in a delayed dispersal predator-prey system without comparison principle
Shuxia Pan
2019, 27: 89-99 doi: 10.3934/era.2019011 +[Abstract](110) +[HTML](52) +[PDF](302.27KB) Cited By(0)
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](269) +[HTML](120) +[PDF](448.4KB) 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](663) +[HTML](271) +[PDF](313.13KB) PDF Downloads(237)
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](319) +[HTML](120) +[PDF](562.79KB) PDF Downloads(140)
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](422) +[HTML](175) +[PDF](365.4KB) PDF Downloads(120)
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](269) +[HTML](120) +[PDF](448.4KB) PDF Downloads(90)
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](64) +[HTML](27) +[PDF](299.33KB) PDF Downloads(64)
Some universal quadratic sums over the integers
Hai-Liang Wu and Zhi-Wei Sun
2019, 27: 69-87 doi: 10.3934/era.2019010 +[Abstract](127) +[HTML](46) +[PDF](394.36KB) PDF Downloads(56)
Asymptotic spreading in a delayed dispersal predator-prey system without comparison principle
Shuxia Pan
2019, 27: 89-99 doi: 10.3934/era.2019011 +[Abstract](110) +[HTML](52) +[PDF](302.27KB) PDF Downloads(54)
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](70) +[HTML](37) +[PDF](369.78KB) PDF Downloads(42)
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](51) +[HTML](24) +[PDF](327.55KB) PDF Downloads(35)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, 28: 67-90 doi: 10.3934/era.2020005 +[Abstract](61) +[HTML](40) +[PDF](777.08KB) PDF Downloads(33)

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