Global existence of weak solutions to some micro-macro models

Pierre Louis Lions, Nader Masmoudi

Research output: Contribution to journalArticlepeer-review


We prove the global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution. To cite this article: P.-L. Lions, N. Masmoudi, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

Original languageEnglish (US)
Pages (from-to)15-20
Number of pages6
JournalComptes Rendus Mathematique
Issue number1
StatePublished - Jul 1 2007

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Global existence of weak solutions to some micro-macro models'. Together they form a unique fingerprint.

Cite this