A probabilistic method to solve partial differential equations
陳隆基 教授Oregon State University 下午 4:00–4:50 S4 208 數學與理論物理中心Existence of unique global (in time) solutions to three dimensional incompressible
Navier-Stokes equations with periodic boundary in Besov-type function spaces are established by a mix of probabilistic and analytic methods. First, we expose the ideas of probabilitic approach by using two examples. Then, we study the solutions of LANS equations which includes the limiting = 0 case of incompressible Navier-Stocks equations with periodic domain. Finally, a rate of convergence in a mixed L1 − L2 time space norm is obtained as ! 0+.