学术报告
Instability and Center Manifolds of Traveling Waves of the Gross-Pitaevskii Equation-Chongchun Zeng教授 （Georgia Institute of Technology and Nankai University）
题目：Instability and Center Manifolds of Traveling Waves of the Gross-Pitaevskii Equation
报告人：Chongchun Zeng教授 （Georgia Institute of Technology and Nankai University）
Abstract: The 3-dim Gross-Pitaevskii equation has been proved to possess traveling wave solutions. Each traveling wave generates a 3-dim manifold of traveling waves via translation in spatial variables. This talk is concerned with the local dynamics near manifolds of traveling waves. We first prove an instability criterion where the symplectic operator of the GP equation is not a bounded operator. In the unstable case, we also construct the local stable, unstable, and center manifolds of the whole traveling manifolds. In the proof, a space-time estimate and a bundle coordinate system are used.
时间: 7月11日（周二）上午10:00--11:00
地点：首都师范大学本部教二楼527教室
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