### 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 language | English (US) |
---|---|

Pages (from-to) | 15-20 |

Number of pages | 6 |

Journal | Comptes Rendus Mathematique |

Volume | 345 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1 2007 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Comptes Rendus Mathematique*,

*345*(1), 15-20. https://doi.org/10.1016/j.crma.2007.05.011

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

Research output: Contribution to journal › Article

*Comptes Rendus Mathematique*, vol. 345, no. 1, pp. 15-20. https://doi.org/10.1016/j.crma.2007.05.011

}

TY - JOUR

T1 - Global existence of weak solutions to some micro-macro models

AU - Lions, Pierre Louis

AU - Masmoudi, Nader

PY - 2007/7/1

Y1 - 2007/7/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=34447298371&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34447298371&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2007.05.011

DO - 10.1016/j.crma.2007.05.011

M3 - Article

AN - SCOPUS:34447298371

VL - 345

SP - 15

EP - 20

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 1

ER -