On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2011-01

AUTHORS

V. F. Butuzov

ABSTRACT

For singularly perturbed parabolic problems, asymptotic expansions of time-periodic solutions with boundary layers in a neighborhood of interval’s endpoints are constructed and justified in the case where the degenerate equation has a double or a triple root.

PAGES

40-50

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0965542511010064

DOI

http://dx.doi.org/10.1134/s0965542511010064

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044230436


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Applied Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Faculty of Physics, Moscow State University, 119992, Moscow, Russia", 
          "id": "http://www.grid.ac/institutes/grid.14476.30", 
          "name": [
            "Faculty of Physics, Moscow State University, 119992, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Butuzov", 
        "givenName": "V. F.", 
        "id": "sg:person.012374470655.20", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012374470655.20"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2011-01", 
    "datePublishedReg": "2011-01-01", 
    "description": "For singularly perturbed parabolic problems, asymptotic expansions of time-periodic solutions with boundary layers in a neighborhood of interval\u2019s endpoints are constructed and justified in the case where the degenerate equation has a double or a triple root.", 
    "genre": "article", 
    "id": "sg:pub.10.1134/s0965542511010064", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136025", 
        "issn": [
          "0044-4669", 
          "0965-5425"
        ], 
        "name": "Computational Mathematics and Mathematical Physics", 
        "publisher": "Pleiades Publishing", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "51"
      }
    ], 
    "keywords": [
      "parabolic problems", 
      "degenerate equation", 
      "time-periodic solutions", 
      "periodic solutions", 
      "multiple roots", 
      "asymptotic expansion", 
      "interval endpoints", 
      "equations", 
      "problem", 
      "solution", 
      "triple root", 
      "boundary layer", 
      "neighborhood", 
      "cases", 
      "expansion", 
      "roots", 
      "endpoints", 
      "layer"
    ], 
    "name": "On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation", 
    "pagination": "40-50", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1044230436"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1134/s0965542511010064"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1134/s0965542511010064", 
      "https://app.dimensions.ai/details/publication/pub.1044230436"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2021-12-01T19:24", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_531.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1134/s0965542511010064"
  }
]
 

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.10.1134/s0965542511010064'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s0965542511010064'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s0965542511010064'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s0965542511010064'


 

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

76 TRIPLES      21 PREDICATES      44 URIs      36 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1134/s0965542511010064 schema:about anzsrc-for:01
2 anzsrc-for:0102
3 schema:author Nc683fc25a54e446e8654ab6d4bbde598
4 schema:datePublished 2011-01
5 schema:datePublishedReg 2011-01-01
6 schema:description For singularly perturbed parabolic problems, asymptotic expansions of time-periodic solutions with boundary layers in a neighborhood of interval’s endpoints are constructed and justified in the case where the degenerate equation has a double or a triple root.
7 schema:genre article
8 schema:inLanguage en
9 schema:isAccessibleForFree false
10 schema:isPartOf N05490150d62048dbb3517452d471b045
11 Nfafb72689f1e479a81452932586aa929
12 sg:journal.1136025
13 schema:keywords asymptotic expansion
14 boundary layer
15 cases
16 degenerate equation
17 endpoints
18 equations
19 expansion
20 interval endpoints
21 layer
22 multiple roots
23 neighborhood
24 parabolic problems
25 periodic solutions
26 problem
27 roots
28 solution
29 time-periodic solutions
30 triple root
31 schema:name On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation
32 schema:pagination 40-50
33 schema:productId N384ed02b60634041a961788df2710e44
34 N5af45a36ce8646d9a54441993cf3657f
35 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044230436
36 https://doi.org/10.1134/s0965542511010064
37 schema:sdDatePublished 2021-12-01T19:24
38 schema:sdLicense https://scigraph.springernature.com/explorer/license/
39 schema:sdPublisher Nf1541c9187744687b866d8340f435a12
40 schema:url https://doi.org/10.1134/s0965542511010064
41 sgo:license sg:explorer/license/
42 sgo:sdDataset articles
43 rdf:type schema:ScholarlyArticle
44 N05490150d62048dbb3517452d471b045 schema:issueNumber 1
45 rdf:type schema:PublicationIssue
46 N384ed02b60634041a961788df2710e44 schema:name doi
47 schema:value 10.1134/s0965542511010064
48 rdf:type schema:PropertyValue
49 N5af45a36ce8646d9a54441993cf3657f schema:name dimensions_id
50 schema:value pub.1044230436
51 rdf:type schema:PropertyValue
52 Nc683fc25a54e446e8654ab6d4bbde598 rdf:first sg:person.012374470655.20
53 rdf:rest rdf:nil
54 Nf1541c9187744687b866d8340f435a12 schema:name Springer Nature - SN SciGraph project
55 rdf:type schema:Organization
56 Nfafb72689f1e479a81452932586aa929 schema:volumeNumber 51
57 rdf:type schema:PublicationVolume
58 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
59 schema:name Mathematical Sciences
60 rdf:type schema:DefinedTerm
61 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
62 schema:name Applied Mathematics
63 rdf:type schema:DefinedTerm
64 sg:journal.1136025 schema:issn 0044-4669
65 0965-5425
66 schema:name Computational Mathematics and Mathematical Physics
67 schema:publisher Pleiades Publishing
68 rdf:type schema:Periodical
69 sg:person.012374470655.20 schema:affiliation grid-institutes:grid.14476.30
70 schema:familyName Butuzov
71 schema:givenName V. F.
72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012374470655.20
73 rdf:type schema:Person
74 grid-institutes:grid.14476.30 schema:alternateName Faculty of Physics, Moscow State University, 119992, Moscow, Russia
75 schema:name Faculty of Physics, Moscow State University, 119992, Moscow, Russia
76 rdf:type schema:Organization
 




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


...