Global existence of weak solutions to some micro-macro models

Pierre Louis Lions, Nader Masmoudi

Research output: Contribution to journalArticle

Abstract

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
Volume345
Issue number1
DOIs
StatePublished - Jul 1 2007

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Existence of Weak Solutions
Global Existence
Converge
Weak Limit
Weak Solution
Compactness
Model
Propagation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Global existence of weak solutions to some micro-macro models. / Lions, Pierre Louis; Masmoudi, Nader.

In: Comptes Rendus Mathematique, Vol. 345, No. 1, 01.07.2007, p. 15-20.

Research output: Contribution to journalArticle

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