报告人：黄建华（国防科技大学）

邀请人：吴付科

报告时间：2024年4月29日（星期一）10:30-12:00

报告地点：科技楼南楼706室

报告题目：Dynamics of stochastic fractional Boussinesq equations with transport noise and nonlinear noise

报告摘要：This talk is devoted to the 3D stochchastic fractional Boussinesq equation on the torus driven by transport noise, we present some results on the existence of weak solutions, the converges to the unique solution of the deterministic fractional Boussinesq equations in certain suitable negative Sobolev norm. This means that transport noise regularizes the fractional Boussinesq equations so that it enjoys approximate weak uniqueness. Finally, the central limit theorem with an explicit convergence rate are obtained to interpret the aforementioned limit result as a law of large numbers.

报告人简介：黄建华，国防科技大学文理学院数学系教授，博士生导师，主要从事非线性偏微分方程行波解与无穷维随机动力系统的动力学研究。先后主持3项国家自然科学基金面上项目，获湖南省自然科学二等奖1次，湖南省教学成果一等奖，军队教学成果一等奖和国家教学成果二等奖各1次，湖南省优秀博士学位论文和优秀硕士学位论文指导老师。曾在美国Auburn大学、加拿大Memorial大学、York大学、Dalhousie大学和西班牙Seaville大学做访问学者和合作研究。在JDE，DCDS，SIAM Appl. Dynam System，Physica D等杂志上发表SCI论文50多篇。