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Special Issue: PDEs arising from nonlinear waves and fluid dynamics

The special issue is available at:
https://www.aimsciences.org/journal/A0000-0004/ERA_SpecialIssue

Published Papers(19)

Integrating evolution equations using Fredholm determinants
Feride Tığlay
2021, Volume 29, Issue 2: 2141-2147. doi: 10.3934/era.2020109
Abstract HTML PDF Cited (1) Viewed (2295)
The well-posedness and regularity of a rotating blades equation
Lin Shen,  Shu Wang,  Yongxin Wang
2020, Volume 28, Issue 2: 691-719. doi: 10.3934/era.2020036
Abstract HTML PDF Cited (3) Viewed (3248)
Global behavior of the solutions to nonlinear Klein-Gordon equation with critical initial energy
Milena Dimova,  Natalia Kolkovska,  Nikolai Kutev
2020, Volume 28, Issue 2: 671-689. doi: 10.3934/era.2020035
Abstract HTML PDF Cited (9) Viewed (3424)
Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping
Mingqi Xiang,  Binlin Zhang,  Die Hu
2020, Volume 28, Issue 2: 651-669. doi: 10.3934/era.2020034
Abstract HTML PDF Cited (4) Viewed (3232)
Revisited bilinear Schrödinger estimates with applications to generalized Boussinesq equations
Dan-Andrei Geba,  Evan Witz
2020, Volume 28, Issue 2: 627-649. doi: 10.3934/era.2020033
Abstract HTML PDF Cited (2) Viewed (3044)
New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory
Wenjun Liu,  Zhijing Chen,  Zhiyu Tu
2020, Volume 28, Issue 1: 433-457. doi: 10.3934/era.2020025
Abstract HTML PDF Cited (14) Viewed (3421)
Existence and asymptotic behavior of bound states for a class of nonautonomous Schrödinger-Poisson system
Lirong Huang,  Jianqing Chen
2020, Volume 28, Issue 1: 383-404. doi: 10.3934/era.2020022
Abstract HTML PDF Cited (1) Viewed (3036)
Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition
Mingyou Zhang,  Qingsong Zhao,  Yu Liu,  Wenke Li
2020, Volume 28, Issue 1: 369-381. doi: 10.3934/era.2020021
Abstract HTML PDF Cited (5) Viewed (4170)
Blow-up in damped abstract nonlinear equations
Jorge A. Esquivel-Avila
2020, Volume 28, Issue 1: 347-367. doi: 10.3934/era.2020020
Abstract HTML PDF Cited (9) Viewed (3823)
Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces
Shaoqiang Shang,  Yunan Cui
2020, Volume 28, Issue 1: 327-346. doi: 10.3934/era.2020019
Abstract HTML PDF Cited (2) Viewed (3486)
Long-time behavior of a class of viscoelastic plate equations
Yang Liu
2020, Volume 28, Issue 1: 311-326. doi: 10.3934/era.2020018
Abstract HTML PDF Cited (4) Viewed (3500)
Normalized solutions for Choquard equations with general nonlinearities
Shuai Yuan,  Sitong Chen,  Xianhua Tang
2020, Volume 28, Issue 1: 291-309. doi: 10.3934/era.2020017
Abstract HTML PDF Cited (23) Viewed (4900)
The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
Gongwei Liu
2020, Volume 28, Issue 1: 263-289. doi: 10.3934/era.2020016
Abstract HTML PDF Cited (41) Viewed (6051)
Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source
Huafei Di,  Yadong Shang,  Jiali Yu
2020, Volume 28, Issue 1: 221-261. doi: 10.3934/era.2020015
Abstract HTML PDF Cited (9) Viewed (4226)
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,  Yuanran Zhu
2020, Volume 28, Issue 1: 91-102. doi: 10.3934/era.2020006
Abstract HTML PDF Cited (9) Viewed (4675)
Initial boundary value problem for a inhomogeneous pseudo-parabolic equation
Jun Zhou
2020, Volume 28, Issue 1: 67-90. doi: 10.3934/era.2020005
Abstract HTML PDF Cited (9) Viewed (4829)
The existence of solutions for a shear thinning compressible non-Newtonian models
Yukun Song,  Yang Chen,  Jun Yan,  Shuai Chen
2020, Volume 28, Issue 1: 47-66. doi: 10.3934/era.2020004
Abstract HTML PDF Viewed (3123)
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Yue Cao
2020, Volume 28, Issue 1: 27-46. doi: 10.3934/era.2020003
Abstract HTML PDF Cited (1) Viewed (3536)
Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion
Guenbo Hwang,  Byungsoo Moon
2020, Volume 28, Issue 1: 15-25. doi: 10.3934/era.2020002
Abstract HTML PDF Cited (5) Viewed (3691)
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