Gagliardo-Nirenberg imbeddings and DiPerna-Majda sequences

Italo Vecchi · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1992

Abstract 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.

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