On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2013-07

AUTHORS

V. F. Butuzov

ABSTRACT

Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.

PAGES

60-70

References to SciGraph publications

Journal

TITLE

Mathematical Notes

ISSUE

1-2

VOLUME

94

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0001434613070067

DOI

http://dx.doi.org/10.1134/s0001434613070067

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009709126


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", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Moscow State University", 
          "id": "https://www.grid.ac/institutes/grid.14476.30", 
          "name": [
            "Moscow State University, 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"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1134/s0965542511010064", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044230436", 
          "https://doi.org/10.1134/s0965542511010064"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2013-07", 
    "datePublishedReg": "2013-07-01", 
    "description": "Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1134/s0001434613070067", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136530", 
        "issn": [
          "1757-7489", 
          "1573-8876"
        ], 
        "name": "Mathematical Notes", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1-2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "94"
      }
    ], 
    "name": "On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation", 
    "pagination": "60-70", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "2e40deaace31b9eaacb22cc9e6747163a521ebc261edea9c7aa9afa1a28d722d"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1134/s0001434613070067"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1009709126"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1134/s0001434613070067", 
      "https://app.dimensions.ai/details/publication/pub.1009709126"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T14:06", 
    "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/v90/0000000001_0000000264/records_8660_00000498.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1134/S0001434613070067"
  }
]
 

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/s0001434613070067'

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/s0001434613070067'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s0001434613070067'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s0001434613070067'


 

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

57 TRIPLES      20 PREDICATES      26 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1134/s0001434613070067 schema:author N58b4289cf7ed44d8b417be76f7b5f52e
2 schema:citation sg:pub.10.1134/s0965542511010064
3 schema:datePublished 2013-07
4 schema:datePublishedReg 2013-07-01
5 schema:description Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.
6 schema:genre research_article
7 schema:inLanguage en
8 schema:isAccessibleForFree false
9 schema:isPartOf Nb4d91fcabb5647239fba83f6fec12c81
10 Nf8dc4fe626a345fda9c83416cdaa70e3
11 sg:journal.1136530
12 schema:name On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
13 schema:pagination 60-70
14 schema:productId N63025bfaf36046bf9c66be735fd3f49c
15 Na38b45f2e2254b909de25c64a5fecf45
16 Nb10d17a5f97343f9a2f522428158dd55
17 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009709126
18 https://doi.org/10.1134/s0001434613070067
19 schema:sdDatePublished 2019-04-10T14:06
20 schema:sdLicense https://scigraph.springernature.com/explorer/license/
21 schema:sdPublisher Nce219bfa2f924a4aad2cfa51e2c79bf4
22 schema:url http://link.springer.com/10.1134/S0001434613070067
23 sgo:license sg:explorer/license/
24 sgo:sdDataset articles
25 rdf:type schema:ScholarlyArticle
26 N58b4289cf7ed44d8b417be76f7b5f52e rdf:first sg:person.012374470655.20
27 rdf:rest rdf:nil
28 N63025bfaf36046bf9c66be735fd3f49c schema:name dimensions_id
29 schema:value pub.1009709126
30 rdf:type schema:PropertyValue
31 Na38b45f2e2254b909de25c64a5fecf45 schema:name readcube_id
32 schema:value 2e40deaace31b9eaacb22cc9e6747163a521ebc261edea9c7aa9afa1a28d722d
33 rdf:type schema:PropertyValue
34 Nb10d17a5f97343f9a2f522428158dd55 schema:name doi
35 schema:value 10.1134/s0001434613070067
36 rdf:type schema:PropertyValue
37 Nb4d91fcabb5647239fba83f6fec12c81 schema:issueNumber 1-2
38 rdf:type schema:PublicationIssue
39 Nce219bfa2f924a4aad2cfa51e2c79bf4 schema:name Springer Nature - SN SciGraph project
40 rdf:type schema:Organization
41 Nf8dc4fe626a345fda9c83416cdaa70e3 schema:volumeNumber 94
42 rdf:type schema:PublicationVolume
43 sg:journal.1136530 schema:issn 1573-8876
44 1757-7489
45 schema:name Mathematical Notes
46 rdf:type schema:Periodical
47 sg:person.012374470655.20 schema:affiliation https://www.grid.ac/institutes/grid.14476.30
48 schema:familyName Butuzov
49 schema:givenName V. F.
50 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012374470655.20
51 rdf:type schema:Person
52 sg:pub.10.1134/s0965542511010064 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044230436
53 https://doi.org/10.1134/s0965542511010064
54 rdf:type schema:CreativeWork
55 https://www.grid.ac/institutes/grid.14476.30 schema:alternateName Moscow State University
56 schema:name Moscow State University, Moscow, Russia
57 rdf:type schema:Organization
 




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


...