Weak and strong solutions to nonlinear SPDEs with unbounded noise (Q6630536)

By introducing an extended variational framework for nonlinear SPDEs with unbounded noise, the existence criteria are derived for three different types of solutions, which can be understood as probabilistically and analytically weak, probabilistically strong and analytically weak, as well as probabilistically and analytically strong. The framework includes the Navier-Stokes equation with transport noise and the no-slip and Navier boundary conditions, as a typical example.