NDLI: Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise

Content Provider	Semantic Scholar
Author	Debussche, Arnaud Odasso, Cyril
Copyright Year	2005
Abstract	Abstract.We construct a Markov family of solutions for the 3D Navier-Stokes equations perturbed by a non degenerate noise. We improve the result of [3] in two directions. We see that in fact not only a transition semigroup but a Markov family of solutions can be constructed. Moreover, we consider a state dependant noise. Another feature of this work is that we greatly simplify the proofs of [3].
Starting Page	305
Ending Page	324
Page Count	20
File Format	PDF HTM / HTML
DOI	10.1007/s00028-006-0254-y
Volume Number	6
Alternate Webpage(s)	http://arxiv.org/pdf/math/0512361v1.pdf
Alternate Webpage(s)	https://hal.archives-ouvertes.fr/file/index/docid/84180/filename/NS3D-markov-final.pdf
Alternate Webpage(s)	https://arxiv.org/pdf/math/0512361v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math/0512361v2.pdf
Alternate Webpage(s)	https://w3.ens-rennes.fr/math/PHP4WEB/PDF_PUBLIS/NS3D-markov-final.pdf
Alternate Webpage(s)	https://doi.org/10.1007/s00028-006-0254-y
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise