Martingale and stationary solutions for stochastic Navier-Stokes equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-09

AUTHORS

Franco Flandoli, Dariusz Gatarek

ABSTRACT

We prove the existence of martingale solutions and of stationary solutions of stochastic Navier-Stokes equations under very general hypotheses on the diffusion term. The stationary martingale solutions yield the existence of invariant measures, when the transition semigroup is well defined. The results are obtained by a new method of compactness.

PAGES

367-391

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01192467

DOI

http://dx.doi.org/10.1007/bf01192467

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004055734


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Scuola Normale Superiore di Pisa", 
          "id": "https://www.grid.ac/institutes/grid.6093.c", 
          "name": [
            "Scuola Normale Superiore, Piazza dei Cavalieri 7, I-50100, Pisa, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Flandoli", 
        "givenName": "Franco", 
        "id": "sg:person.07646604513.98", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07646604513.98"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Systems Research Institute", 
          "id": "https://www.grid.ac/institutes/grid.465202.7", 
          "name": [
            "Systems Research Institute, Newelska 6, 01-447, Warszawa, Poland"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gatarek", 
        "givenName": "Dariusz", 
        "id": "sg:person.07626375506.74", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07626375506.74"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1080/17442509408833868", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003885161"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/07362999208809288", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005760146"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jfan.1994.1140", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007572003"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-7152(93)90259-l", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009845469"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8555-3_13", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015238784", 
          "https://doi.org/10.1007/978-3-0348-8555-3_13"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01194988", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017391198", 
          "https://doi.org/10.1007/bf01194988"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01194988", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017391198", 
          "https://doi.org/10.1007/bf01194988"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/07362999608809424", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018902161"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-1236(73)90045-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023318078"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-5561-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042930842", 
          "https://doi.org/10.1007/978-1-4612-5561-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-5561-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042930842", 
          "https://doi.org/10.1007/978-1-4612-5561-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02097100", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051613965", 
          "https://doi.org/10.1007/bf02097100"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02097100", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051613965", 
          "https://doi.org/10.1007/bf02097100"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/6/1/005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059110790"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202591000046", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963750"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511666223", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098728233"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1995-09", 
    "datePublishedReg": "1995-09-01", 
    "description": "We prove the existence of martingale solutions and of stationary solutions of stochastic Navier-Stokes equations under very general hypotheses on the diffusion term. The stationary martingale solutions yield the existence of invariant measures, when the transition semigroup is well defined. The results are obtained by a new method of compactness.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01192467", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1053886", 
        "issn": [
          "0178-8051", 
          "1432-2064"
        ], 
        "name": "Probability Theory and Related Fields", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "102"
      }
    ], 
    "name": "Martingale and stationary solutions for stochastic Navier-Stokes equations", 
    "pagination": "367-391", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "13532c3345ab1af40b883205e3e0d81934acf3766cb4755c59169cac17958dc0"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01192467"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1004055734"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01192467", 
      "https://app.dimensions.ai/details/publication/pub.1004055734"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:30", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46754_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01192467"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf01192467'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01192467'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01192467'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01192467'


 

This table displays all metadata directly associated to this object as RDF triples.

114 TRIPLES      21 PREDICATES      40 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01192467 schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author N3232b58ccc4542809df9c7e78866a023
4 schema:citation sg:pub.10.1007/978-1-4612-5561-1
5 sg:pub.10.1007/978-3-0348-8555-3_13
6 sg:pub.10.1007/bf01194988
7 sg:pub.10.1007/bf02097100
8 https://doi.org/10.1006/jfan.1994.1140
9 https://doi.org/10.1016/0022-1236(73)90045-1
10 https://doi.org/10.1016/0167-7152(93)90259-l
11 https://doi.org/10.1017/cbo9780511666223
12 https://doi.org/10.1080/07362999208809288
13 https://doi.org/10.1080/07362999608809424
14 https://doi.org/10.1080/17442509408833868
15 https://doi.org/10.1088/0951-7715/6/1/005
16 https://doi.org/10.1142/s0218202591000046
17 schema:datePublished 1995-09
18 schema:datePublishedReg 1995-09-01
19 schema:description We prove the existence of martingale solutions and of stationary solutions of stochastic Navier-Stokes equations under very general hypotheses on the diffusion term. The stationary martingale solutions yield the existence of invariant measures, when the transition semigroup is well defined. The results are obtained by a new method of compactness.
20 schema:genre research_article
21 schema:inLanguage en
22 schema:isAccessibleForFree false
23 schema:isPartOf N1d0cb1f14e8f4befb6b7fad1df0bec5c
24 N952b9d550ef447849432d93ab34a502b
25 sg:journal.1053886
26 schema:name Martingale and stationary solutions for stochastic Navier-Stokes equations
27 schema:pagination 367-391
28 schema:productId N4f8ab41a82114277a035aa55eefd719c
29 N64b29fac2dfa44b89970c4382f3fc64d
30 Nf933e48e40604a19835bdf1cc4825304
31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004055734
32 https://doi.org/10.1007/bf01192467
33 schema:sdDatePublished 2019-04-11T13:30
34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
35 schema:sdPublisher N3f0b1148ec2a4f4ebbd64b346433457e
36 schema:url http://link.springer.com/10.1007/BF01192467
37 sgo:license sg:explorer/license/
38 sgo:sdDataset articles
39 rdf:type schema:ScholarlyArticle
40 N1d0cb1f14e8f4befb6b7fad1df0bec5c schema:volumeNumber 102
41 rdf:type schema:PublicationVolume
42 N3232b58ccc4542809df9c7e78866a023 rdf:first sg:person.07646604513.98
43 rdf:rest N7ef6fe4ae2584528800951f3297aff6e
44 N3f0b1148ec2a4f4ebbd64b346433457e schema:name Springer Nature - SN SciGraph project
45 rdf:type schema:Organization
46 N4f8ab41a82114277a035aa55eefd719c schema:name dimensions_id
47 schema:value pub.1004055734
48 rdf:type schema:PropertyValue
49 N64b29fac2dfa44b89970c4382f3fc64d schema:name doi
50 schema:value 10.1007/bf01192467
51 rdf:type schema:PropertyValue
52 N7ef6fe4ae2584528800951f3297aff6e rdf:first sg:person.07626375506.74
53 rdf:rest rdf:nil
54 N952b9d550ef447849432d93ab34a502b schema:issueNumber 3
55 rdf:type schema:PublicationIssue
56 Nf933e48e40604a19835bdf1cc4825304 schema:name readcube_id
57 schema:value 13532c3345ab1af40b883205e3e0d81934acf3766cb4755c59169cac17958dc0
58 rdf:type schema:PropertyValue
59 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
60 schema:name Mathematical Sciences
61 rdf:type schema:DefinedTerm
62 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
63 schema:name Statistics
64 rdf:type schema:DefinedTerm
65 sg:journal.1053886 schema:issn 0178-8051
66 1432-2064
67 schema:name Probability Theory and Related Fields
68 rdf:type schema:Periodical
69 sg:person.07626375506.74 schema:affiliation https://www.grid.ac/institutes/grid.465202.7
70 schema:familyName Gatarek
71 schema:givenName Dariusz
72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07626375506.74
73 rdf:type schema:Person
74 sg:person.07646604513.98 schema:affiliation https://www.grid.ac/institutes/grid.6093.c
75 schema:familyName Flandoli
76 schema:givenName Franco
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07646604513.98
78 rdf:type schema:Person
79 sg:pub.10.1007/978-1-4612-5561-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042930842
80 https://doi.org/10.1007/978-1-4612-5561-1
81 rdf:type schema:CreativeWork
82 sg:pub.10.1007/978-3-0348-8555-3_13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015238784
83 https://doi.org/10.1007/978-3-0348-8555-3_13
84 rdf:type schema:CreativeWork
85 sg:pub.10.1007/bf01194988 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017391198
86 https://doi.org/10.1007/bf01194988
87 rdf:type schema:CreativeWork
88 sg:pub.10.1007/bf02097100 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051613965
89 https://doi.org/10.1007/bf02097100
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1006/jfan.1994.1140 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007572003
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1016/0022-1236(73)90045-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023318078
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/0167-7152(93)90259-l schema:sameAs https://app.dimensions.ai/details/publication/pub.1009845469
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1017/cbo9780511666223 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098728233
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1080/07362999208809288 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005760146
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1080/07362999608809424 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018902161
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1080/17442509408833868 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003885161
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1088/0951-7715/6/1/005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059110790
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1142/s0218202591000046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963750
108 rdf:type schema:CreativeWork
109 https://www.grid.ac/institutes/grid.465202.7 schema:alternateName Systems Research Institute
110 schema:name Systems Research Institute, Newelska 6, 01-447, Warszawa, Poland
111 rdf:type schema:Organization
112 https://www.grid.ac/institutes/grid.6093.c schema:alternateName Scuola Normale Superiore di Pisa
113 schema:name Scuola Normale Superiore, Piazza dei Cavalieri 7, I-50100, Pisa, Italy
114 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...