Periodic traveling curved fronts in reaction–diffusion equation with bistable time-periodic nonlinearity

By Zhi-Cheng Wang, Jianhua Wu. 2011

53 citations recorded by the source corpus.

Abstract This paper is concerned with the existence and stability of periodic traveling curved fronts for reaction–diffusion equations with time-periodic bistable nonlinearity in two-dimensional space. By constructing supersolution and subsolution, we prove the existence of periodic traveling wave fronts. Furthermore, we show that the front is globally stable.

Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/bcc4c0767144b4e711af7ff10a836a8e0fd532ad

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In Applied Mathematics

1. Wan-Tong Li
2. Zhi-Cheng Wang
3. Weijie Sheng
4. Haiyan Wang
5. Wenxian Shen
6. Guo Lin
7. Shigui Ruan
8. Yong-Hong Fan

In Control and Systems Engineering

1. Wan-Tong Li
2. Zhi-Cheng Wang

In Public Health, Environmental and Occupational Health

1. Wan-Tong Li
2. Zhi-Cheng Wang
3. Weijie Sheng
4. Wenxian Shen
5. Guo Lin
6. Yong-Hong Fan
7. Wenzhang Huang
8. Guo‐Bao Zhang

Citations in the corpus

• Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity (2012, background): “More recently, Wang and Wu [49] have studied the existence and globally asymptotic stability of periodic traveling curved fronts for (1.”