Workshop on Dynamics and Differential Equation

湖北·武汉·申博sunbet官网

主办单位：sunbet中国官网

主办人： 李骥

时间： 2018年7月15 – 17日

地点： sunbet中国官网 科技楼 南楼 702

参会人员：

1.陈光淦 四川师范大学

2.高鹏 东北师范大学

3.韩晓莹 Auburn University

4.黄娟  四川师范大学

5.黄文 中国科技大学

6.李骥 申博sunbet官网

7.李晓月 东北师范大学

8.柳振鑫 大连理工大学

9.孙桂全 山西大学

10.吴付科 申博sunbet官网

11.闫威 河南师范大学

12.章梅荣 清华大学

会议流程：

7月15日下午

注册报到（地点：申博sunbet官网国际学术交流中心八号楼大厅).

7月16日

会议内容：

（一）Stochastic computation Singular Perturbation

韩晓莹

Auburn University

（二）中国布鲁氏菌病传播动力学建模与理论研究

孙桂全

山西大学

摘要：布鲁氏菌病是由布鲁氏菌引起的一种人畜共患的急慢性传染病，会造成以生殖系统为主的多器官损伤，进而导致流产和不育。它的传播不仅损害人类健康，而且影响畜牧业等相关产业的发展。因此对其传染规律、传播趋势和防控策略研究的重要性日益突出，成为公共卫生和畜牧业领域迫切需要解决的一个问题。为此，本报告主要针对布鲁氏菌病传播过程，建立几类布鲁氏菌病传播动力学模型，研究浙江和内蒙古自治区兴安盟地区布鲁氏菌病的传播，分析模型的基本再生数和动力学性态；同时结合布鲁氏菌病统计数据，利用统计学方法对模型参数进行估计与假设检验，预测中国布鲁氏菌病流行规律和发展趋势，评估不同控制措施对该疫病传播的影响，找出有效控制措施。

（三）Martingale solutions of stochastic fractional nonlinear Schrodinger equation on a bounded interval

陈光淦

  四川师范大学

摘要： This work is concerned with stochastic fractional nonlinear Schrodinger equation, which plays a very important role in fractional nonrelativistic quantum mechanics. Due to disturbing and interacting of the fractional Laplacian operator on a bounded interval with white noise, the stochastic fractional nonlinear Schrodinger equation is too complicated to be understood. This work would explore and analyze this stochastic fractional system. Using a suitable weighted space with some fractional operator skills, it overcame the difficulties coming from the fractional Laplacian operator on a bounded interval. Applying the tightness instead of the common compactness, and combining Prokhorov theorem with Skorokhod embedding theorem, it solved the convergence problem in the case of white noise. It finally established the existence of martingale solutions for the stochastic fractional nonlinear Schrodinger equation on a bounded interval. This work is jointed with Huan Yang.

（四）The study on the low regularity of the KP-type equations

   阎威

  河南师范大学

摘要: KP-type equations are important dispersive models. We investigate the KP-type equations in low regularity with the aid of the Fourier restriction norm method and the modified Fourier restriction norm method. The key idea is the to suitably split the frequency region.

（五）Scattering and strong instability in trapped  dipolar quantum gases

    黄娟

  四川师范大学

摘要：This talk concerns the scattering and strong instability in trapped

dipolar quantum gases. By analyzing the characters of ground state, we give the

relation of the cross-constrain problem and constrain problems. Thus two invariant

manifolds are obtained. For the initial data in one manifold, we show the solution

scatters. And for the initial data in other invariant manifold, the strong instability of the standing waves is proved.