Hofmanová, Martina; Leahy, James-Michael; Nilssen, Torstein: On the Navier–Stokes equation perturbed by rough transport noise. In: Journal of Evolution Equations. Jg.19 H. 1. 2018, S. 203-247
Inhalt
- 2.1. Notation and definitions
- 2.2. Smoothing operators
- 2.3. Rough paths
- 2.4. Unbounded rough drivers
- 2.5. Formulation of the equation
- 2.6. Main results
- 3. A priori estimates of remainders
- 4. Proof of the main results
- 4.1. Existence, proof of Theorem 2.13
- 4.2. Uniqueness in two spatial dimensions, proof of Theorem 2.14
- 4.3. Stability in two spatial dimension, proof of Corollary 2.15
- A Compact embedding results
- B Sewing lemma
- REFERENCES