Théorèmes d’unicité pour le système de navier-stokes tridimensionnel

Chemin, Jean-Yves

doi:10.1007/bf02791256

Cited by 253 publications

(194 citation statements)

References 9 publications

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“…Finally, from standard properties for the heat equation (see e.g. [8]) we get in addition θ ∈ C(R + ; L 2 ∩ B −1 ∞,1 ). This completes the proof of existence.…”

Section: Proof Of Theoremmentioning

confidence: 88%

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Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

Danchin

Paicu²

2009

Commun. Math. Phys.

175

102

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Abstract. The present paper is dedicated to the study of the global existence for the inviscid two-dimensional Boussinesq system. We focus on finite energy data with bounded vorticity and we find out that, under quite a natural additional assumption on the initial temperature, there exists a global unique solution. None smallness conditions are imposed on the data. The global existence issues for infinite energy initial velocity, and for the Bénard system are also discussed.

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“…Finally, from standard properties for the heat equation (see e.g. [8]) we get in addition θ ∈ C(R + ; L 2 ∩ B −1 ∞,1 ). This completes the proof of existence.…”

Section: Proof Of Theoremmentioning

confidence: 88%

“…Chemin in [8]: there exists two positive constants c and C such that (34) e λ∆ ∆ q g L ∞ ≤ Ce −cλ2 2q ∆ q g L ∞ for all λ > 0 and q ≥ 0.…”

Section: Appendixmentioning

confidence: 99%

Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

Danchin

Paicu²

2009

Commun. Math. Phys.

175

102

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“…We refer to [5] for the proof of the following results and for the multiplication law in Besov spaces.…”

Section: The Co-rotational Model In 2dmentioning

confidence: 99%

Well‐posedness for the FENE dumbbell model of polymeric flows

Masmoudi

2008

Comm Pure Appl Math

107

141

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“…We then get estimates for each dyadic block and perform integration in time. That remark naturally leads to the following definition (introduced in [4]):…”

Section: We Then Define the Besov Spacementioning

confidence: 99%

The inviscid limit for density-dependent incompressible fluids

Danchin¹

2006

Ann. Fac. Sci. Toulouse Math

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Théorèmes d’unicité pour le système de navier-stokes tridimensionnel

Cited by 253 publications

References 9 publications

Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

Well‐posedness for the FENE dumbbell model of polymeric flows

The inviscid limit for density-dependent incompressible fluids

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