Abstract:
Poincare's invariance principle for Hamiltonian flows implies Kelvin's principle for solution to Incompressible Euler Equation. Iyer-Constantin Circulation Theorem offers a stochastic analog of Kelvin's principle for Navier-Stokes Equation. Weakly symplectic diffusions are defined to produce stochastically symplectic flows in a systematic way. With the aid of symplectic diffusions, one can produce a family of martingales associated with solutions to Navier-Stokes Equation that in turn can be used to prove Iyer-Constantin Circulation Theorem. I also discuss how probabilistic ideas can be used to give new proofs for some classical results about solutions of Navier-Stokes Equation.
زمان:
سه شنبه مورخ 17/10/1392 ساعت 9:45 الی 11:15
مکان: تالار شهید کریمی دانشکده علوم پایه