题    目：A Schr\"odinger System arising in optical material

主讲人：李渊 副教授

单    位：兰州大学

时    间：2024年12月25日 19:00

腾讯ID：497-543-979

摘   要：In this talk, we mainly focus on the influence of the absence of this symmetry on the traveling waves of the NLS system. Firstly, we obtain the existence and nonexistence of traveling solitary wave solutions that are non-radial and complex-valued. Secondly, using the asymptotic analysis method, we establish the high frequency limit of the traveling solitary wave solutions when the frequency $\omega$ is sufficiently large. Finally, for the mass critical case, we provide an interesting result for the existence of a global solution that is significantly different from the classical. This is joint work with Kai Wang and Qingxuan Wang.

简    介：李渊，现为兰州大学数学与统计学院副教授。 2021年6月博士毕业于兰州大学。2021年7月-2023年10月在华中师范大学数学博士后流动站工作。主要从事薛定谔方程以及半波方程的爆破解以及爆破速率，行波解等方面的研究。在Comm. Partial Differential Equations, J. Funct. Anal.，J. Differential Equation,等杂志上发表论文多篇。主持国家自然科学基金青年项目，中国博士后科学基金面上项目和湖北省博士后创新项目。