Gagliardo-Nirenberg Imbeddings and DiPerna-Majda Sequences
A uniform positivity assumption on the mixed derivative of the stream function is shown to imply L2-compactness of DiPerna-Majda sequences for two-dimensional incompressible flow. A related `compact positive cone' result is shown to hold for Gagliardo-Nirenberg imbeddings.
Proceedings of the Royal Society of London Series A
- Pub Date:
- November 1992