Global existence of weak solutions to some micro-macro models

Pierre Louis Lions; Nader Masmoudi

doi:10.1016/j.crma.2007.05.011

Global existence of weak solutions to some micro-macro models

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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	https://doi.org/10.1016/j.crma.2007.05.011
State	Published - Jul 1 2007

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.crma.2007.05.011

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title = "Global existence of weak solutions to some micro-macro models",

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).",

author = "Lions, {Pierre Louis} and Nader Masmoudi",

note = "Funding Information: The work of N.M. is partially supported by NSF-DMS grant 0403983.",

year = "2007",

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doi = "10.1016/j.crma.2007.05.011",

language = "English (US)",

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

AU - Lions, Pierre Louis

AU - Masmoudi, Nader

N1 - Funding Information: The work of N.M. is partially supported by NSF-DMS grant 0403983.

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).

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Global existence of weak solutions to some micro-macro models

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