Instability in a delay-PDE model of earthquake occurrence View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1991-09

AUTHORS

D. B. Rosenblatt, L. Knopoff

ABSTRACT

Ductile deformation prior to brittle fracture in rocks causes fracture to take place with a time delay after the critical stress for fracture is reached, in the presence of an increasing load stress. We discuss the stability of a stochastic model of interactive earthquake occurrence under the influence of time delays resulting from the ductile process. A threshold for oscillatory behavior is found for large enough coupling and discrete time delays. The system is stable if the time delays are spread over a broad time interval, even for large coupling. More... »

PAGES

279-288

References to SciGraph publications

  • 1966-12. A markov model for aftershock occurence in PURE AND APPLIED GEOPHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01238815

    DOI

    http://dx.doi.org/10.1007/bf01238815

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028568307


    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": "Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA", 
              "id": "http://www.grid.ac/institutes/grid.19006.3e", 
              "name": [
                "Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Rosenblatt", 
            "givenName": "D. B.", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Physics, University of California, 90024, Los Angeles, CA, USA", 
              "id": "http://www.grid.ac/institutes/grid.19006.3e", 
              "name": [
                "Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA", 
                "Department of Physics, University of California, 90024, Los Angeles, CA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Knopoff", 
            "givenName": "L.", 
            "id": "sg:person.016534500761.19", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016534500761.19"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf00875528", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005135227", 
              "https://doi.org/10.1007/bf00875528"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1991-09", 
        "datePublishedReg": "1991-09-01", 
        "description": "Ductile deformation prior to brittle fracture in rocks causes fracture to take place with a time delay after the critical stress for fracture is reached, in the presence of an increasing load stress. We discuss the stability of a stochastic model of interactive earthquake occurrence under the influence of time delays resulting from the ductile process. A threshold for oscillatory behavior is found for large enough coupling and discrete time delays. The system is stable if the time delays are spread over a broad time interval, even for large coupling.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf01238815", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136738", 
            "issn": [
              "0938-8974", 
              "1432-1467"
            ], 
            "name": "Journal of Nonlinear Science", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "1"
          }
        ], 
        "keywords": [
          "time delay", 
          "brittle fracture", 
          "load stress", 
          "critical stress", 
          "ductile processes", 
          "ductile deformation", 
          "deformation", 
          "fractures", 
          "oscillatory behavior", 
          "stress", 
          "earthquake occurrence", 
          "stochastic model", 
          "broad time interval", 
          "coupling", 
          "stability", 
          "delay", 
          "model", 
          "instability", 
          "behavior", 
          "large enough coupling", 
          "time interval", 
          "influence", 
          "process", 
          "system", 
          "enough coupling", 
          "threshold", 
          "large coupling", 
          "discrete time delay", 
          "occurrence", 
          "presence", 
          "place", 
          "interval", 
          "cause"
        ], 
        "name": "Instability in a delay-PDE model of earthquake occurrence", 
        "pagination": "279-288", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1028568307"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01238815"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01238815", 
          "https://app.dimensions.ai/details/publication/pub.1028568307"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-11-24T20:47", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20221124/entities/gbq_results/article/article_244.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf01238815"
      }
    ]
     

    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/bf01238815'

    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/bf01238815'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01238815'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01238815'


     

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

    102 TRIPLES      21 PREDICATES      59 URIs      50 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01238815 schema:about anzsrc-for:01
    2 anzsrc-for:0102
    3 schema:author N67d3f9234a8b4ba598d986c5dfd5130f
    4 schema:citation sg:pub.10.1007/bf00875528
    5 schema:datePublished 1991-09
    6 schema:datePublishedReg 1991-09-01
    7 schema:description Ductile deformation prior to brittle fracture in rocks causes fracture to take place with a time delay after the critical stress for fracture is reached, in the presence of an increasing load stress. We discuss the stability of a stochastic model of interactive earthquake occurrence under the influence of time delays resulting from the ductile process. A threshold for oscillatory behavior is found for large enough coupling and discrete time delays. The system is stable if the time delays are spread over a broad time interval, even for large coupling.
    8 schema:genre article
    9 schema:isAccessibleForFree false
    10 schema:isPartOf N368391fe58f145d48b27de04c94598c3
    11 Nbe9a7c4b37404064a58a372bc9e26e23
    12 sg:journal.1136738
    13 schema:keywords behavior
    14 brittle fracture
    15 broad time interval
    16 cause
    17 coupling
    18 critical stress
    19 deformation
    20 delay
    21 discrete time delay
    22 ductile deformation
    23 ductile processes
    24 earthquake occurrence
    25 enough coupling
    26 fractures
    27 influence
    28 instability
    29 interval
    30 large coupling
    31 large enough coupling
    32 load stress
    33 model
    34 occurrence
    35 oscillatory behavior
    36 place
    37 presence
    38 process
    39 stability
    40 stochastic model
    41 stress
    42 system
    43 threshold
    44 time delay
    45 time interval
    46 schema:name Instability in a delay-PDE model of earthquake occurrence
    47 schema:pagination 279-288
    48 schema:productId N823f95a4d96f4e498537b8fff8e4c5be
    49 N9b67f7e5f99747d5a1d8511c2aa6e0dd
    50 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028568307
    51 https://doi.org/10.1007/bf01238815
    52 schema:sdDatePublished 2022-11-24T20:47
    53 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    54 schema:sdPublisher N9122912738af4b0aa721f1ad760443b7
    55 schema:url https://doi.org/10.1007/bf01238815
    56 sgo:license sg:explorer/license/
    57 sgo:sdDataset articles
    58 rdf:type schema:ScholarlyArticle
    59 N0787f9b751f84c1e98599409fde46ce4 schema:affiliation grid-institutes:grid.19006.3e
    60 schema:familyName Rosenblatt
    61 schema:givenName D. B.
    62 rdf:type schema:Person
    63 N368391fe58f145d48b27de04c94598c3 schema:volumeNumber 1
    64 rdf:type schema:PublicationVolume
    65 N67d3f9234a8b4ba598d986c5dfd5130f rdf:first N0787f9b751f84c1e98599409fde46ce4
    66 rdf:rest Neccdbb39f5ae43248f0b54928c68ea64
    67 N823f95a4d96f4e498537b8fff8e4c5be schema:name doi
    68 schema:value 10.1007/bf01238815
    69 rdf:type schema:PropertyValue
    70 N9122912738af4b0aa721f1ad760443b7 schema:name Springer Nature - SN SciGraph project
    71 rdf:type schema:Organization
    72 N9b67f7e5f99747d5a1d8511c2aa6e0dd schema:name dimensions_id
    73 schema:value pub.1028568307
    74 rdf:type schema:PropertyValue
    75 Nbe9a7c4b37404064a58a372bc9e26e23 schema:issueNumber 3
    76 rdf:type schema:PublicationIssue
    77 Neccdbb39f5ae43248f0b54928c68ea64 rdf:first sg:person.016534500761.19
    78 rdf:rest rdf:nil
    79 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    80 schema:name Mathematical Sciences
    81 rdf:type schema:DefinedTerm
    82 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
    83 schema:name Applied Mathematics
    84 rdf:type schema:DefinedTerm
    85 sg:journal.1136738 schema:issn 0938-8974
    86 1432-1467
    87 schema:name Journal of Nonlinear Science
    88 schema:publisher Springer Nature
    89 rdf:type schema:Periodical
    90 sg:person.016534500761.19 schema:affiliation grid-institutes:grid.19006.3e
    91 schema:familyName Knopoff
    92 schema:givenName L.
    93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016534500761.19
    94 rdf:type schema:Person
    95 sg:pub.10.1007/bf00875528 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005135227
    96 https://doi.org/10.1007/bf00875528
    97 rdf:type schema:CreativeWork
    98 grid-institutes:grid.19006.3e schema:alternateName Department of Physics, University of California, 90024, Los Angeles, CA, USA
    99 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA
    100 schema:name Department of Physics, University of California, 90024, Los Angeles, CA, USA
    101 Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA
    102 rdf:type schema:Organization
     




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


    ...