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A global variational structure and propagation of disturbances in reactiondiffusion systems of gradient type
1.  Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, United States 
[1] 
WeiJian Bo, Guo Lin, Shigui Ruan. Traveling wave solutions for time periodic reactiondiffusion systems. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 43294351. doi: 10.3934/dcds.2018189 
[2] 
Masaharu Taniguchi. Instability of planar traveling waves in bistable reactiondiffusion systems. Discrete & Continuous Dynamical Systems  B, 2003, 3 (1) : 2144. doi: 10.3934/dcdsb.2003.3.21 
[3] 
Lu Yang, Meihua Yang. Longtime behavior of stochastic reactiondiffusion equation with dynamical boundary condition. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 26272650. doi: 10.3934/dcdsb.2017102 
[4] 
Zhaosheng Feng. Traveling waves to a reactiondiffusion equation. Conference Publications, 2007, 2007 (Special) : 382390. doi: 10.3934/proc.2007.2007.382 
[5] 
ChiunChuan Chen, LiChang Hung. An Nbarrier maximum principle for elliptic systems arising from the study of traveling waves in reactiondiffusion systems. Discrete & Continuous Dynamical Systems  B, 2018, 23 (4) : 15031521. doi: 10.3934/dcdsb.2018054 
[6] 
ZhaoXing Yang, GuoBao Zhang, Ge Tian, Zhaosheng Feng. Stability of nonmonotone noncritical traveling waves in discrete reactiondiffusion equations with time delay. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 581603. doi: 10.3934/dcdss.2017029 
[7] 
Yicheng Jiang, Kaijun Zhang. Stability of traveling waves for nonlocal timedelayed reactiondiffusion equations. Kinetic & Related Models, 2018, 11 (5) : 12351253. doi: 10.3934/krm.2018048 
[8] 
ZhiXian Yu, Rong Yuan. Traveling wave fronts in reactiondiffusion systems with spatiotemporal delay and applications. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 709728. doi: 10.3934/dcdsb.2010.13.709 
[9] 
Tianran Zhang. Traveling waves for a reactiondiffusion model with a cyclic structure. Discrete & Continuous Dynamical Systems  B, 2020, 25 (5) : 18591870. doi: 10.3934/dcdsb.2020006 
[10] 
Jiang Liu, Xiaohui Shang, Zengji Du. Traveling wave solutions of a reactiondiffusion predatorprey model. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 10631078. doi: 10.3934/dcdss.2017057 
[11] 
BangSheng Han, ZhiCheng Wang. Traveling wave solutions in a nonlocal reactiondiffusion population model. Communications on Pure & Applied Analysis, 2016, 15 (3) : 10571076. doi: 10.3934/cpaa.2016.15.1057 
[12] 
ChengHsiung Hsu, JianJhong Lin. Stability analysis of traveling wave solutions for lattice reactiondiffusion equations. Discrete & Continuous Dynamical Systems  B, 2020, 25 (5) : 17571774. doi: 10.3934/dcdsb.2020001 
[13] 
Ming Mei. Stability of traveling wavefronts for timedelayed reactiondiffusion equations. Conference Publications, 2009, 2009 (Special) : 526535. doi: 10.3934/proc.2009.2009.526 
[14] 
Vladimir Varlamov. Eigenfunction expansion method and the longtime asymptotics for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 2001, 7 (4) : 675702. doi: 10.3934/dcds.2001.7.675 
[15] 
Grigori Chapiro, Lucas Furtado, Dan Marchesin, Stephen Schecter. Stability of interacting traveling waves in reactionconvectiondiffusion systems. Conference Publications, 2015, 2015 (special) : 258266. doi: 10.3934/proc.2015.0258 
[16] 
C. van der Mee, Stella Vernier Piro. Travelling waves for solidgas reactiondiffusion systems. Conference Publications, 2003, 2003 (Special) : 872879. doi: 10.3934/proc.2003.2003.872 
[17] 
Lia Bronsard, SeongA Shim. Longtime behavior for competitiondiffusion systems via viscosity comparison. Discrete & Continuous Dynamical Systems  A, 2005, 13 (3) : 561581. doi: 10.3934/dcds.2005.13.561 
[18] 
YanYu Chen, Yoshihito Kohsaka, Hirokazu Ninomiya. Traveling spots and traveling fingers in singular limit problems of reactiondiffusion systems. Discrete & Continuous Dynamical Systems  B, 2014, 19 (3) : 697714. doi: 10.3934/dcdsb.2014.19.697 
[19] 
Zhenguo Bai, Tingting Zhao. Spreading speed and traveling waves for a nonlocal delayed reactiondiffusion system without quasimonotonicity. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 40634085. doi: 10.3934/dcdsb.2018126 
[20] 
Wei Feng, Xin Lu. Global periodicity in a class of reactiondiffusion systems with time delays. Discrete & Continuous Dynamical Systems  B, 2003, 3 (1) : 6978. doi: 10.3934/dcdsb.2003.3.69 
2018 Impact Factor: 1.008
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