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Curved fronts of  reaction-diffusion equations in spatially periodic media

主讲人：王智诚

摘要：In this talk, we construct curved fronts for spatially periodic bistable reaction-diffusion equations under the a priori assumption that there exist pulsating fronts in every direction. Some sufficient and some necessary conditions of the existence of curved fronts are given. Furthermore, the curved front is proved to be unique and stable. Finally, a curved front with varying interfaces is also constructed.  Despite the effect of the spatial heterogeneity, the result shows the existence of curved fronts for spatially periodic bistable reaction-diffusion equations which is known for the homogeneous case.

主讲人简介：王智诚，兰州大学数学与统计学院教授，博士生导师。在Trans. AMS、Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、JMPA、Calc. Var. PDE、JDE、JDDE、Nonlinearity等杂志发表SCI论文90多篇。主持完成多项国家自然科学基金面上项目以及教育部博士点基金等省部级项目，正在主持一项甘肃省基础研究创新群体项目、一项国家自然科学基金面上项目并参加一项国家自然科学基金重点项目。目前担任两个SCI杂志International  J.  Bifurc. Chaos 和Mathematical Biosciences and Engineering (MBE) 的编委（Associate editor）。

邀请人：李骥

时间：：2022年9月27日（星期二）14:30-16:00

地点：腾讯会议室     ID:868 445 092