题目:On well-posedness of quantum fluid systems in the class of dissipative solutions
报告人:唐童 (扬州大学 副教授)
时间:2024年1月7日10:00-12:00
摘要:The main objects of the present talk are the quantum Navier--Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle and afterwards, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.
报告人简介:唐童,扬州大学数学科学学院副教授,硕士生导师。目前主持国家面上、江苏省面上项目各一项。2023年入选江苏省科协人才托举项目。已在SIAM J MATH ANAL, J MATH FLUID MECH等著名学术期刊发表多篇研究论文。