Chen, Bingguang: Large and moderate deviation principle for the two-dimensional stochastic Navier-Stokes equations with anisotropic viscosity. 2021
Inhalt
- Preface
- Introduction
- Stochastic NS equations with anisotropic viscosity
- Small time asymptotics of 41 model
- Structure of the thesis
- Preliminary
- Function spaces on torus
- Large deviation principle
- Weak convergence approach
- Existence and uniqueness of solutions
- Some useful estimates
- Small noise large deviation principle
- Central limit theorem
- Moderate deviation principle
- Small time asymptotics
- Small time asymptotics for 41 model
- Bibliography