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[{"key": "dc.contributor.advisor", "value": "Parviainen, Mikko", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Kurkinen, Tapio", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2020-06-24T06:27:17Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2020-06-24T06:27:17Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2020", "language": "", "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/70364", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 tutkielmassa tarkastellaan stokastisesta peliteoriasta esille tullutta\nnormalisoitua p-parabolista yht\u00e4l\u00f6\u00e4 ja t\u00e4m\u00e4n radiaalisten ratkaisujen yhteytt\u00e4\nklassiseen l\u00e4mp\u00f6yht\u00e4l\u00f6\u00f6n. Radiaalisia ratkaisuja tarkastellessa voidaan\nredusoida p-parabolinen yht\u00e4l\u00f6 er\u00e4\u00e4nlaiseksi yksiulotteiseksi l\u00e4mp\u00f6yht\u00e4l\u00f6ksi.\nTy\u00f6n p\u00e4\u00e4tuloksena n\u00e4ytet\u00e4\u00e4n ekvivalenssitulos t\u00e4m\u00e4n redusoidun\nyht\u00e4l\u00f6n jatkuvien heikkojen ratkaisujen ja alkuper\u00e4isen yht\u00e4l\u00f6n radiaalisten\nviskositeettiratkaisujen v\u00e4lille. T\u00e4m\u00e4n tuloksen ymm\u00e4rt\u00e4mist\u00e4 varten\nk\u00e4sitell\u00e4\u00e4n sek\u00e4 divergenssimuotoisille yht\u00e4l\u00f6ille soveltuvan heikkojen ratkaisujen\nteorian perusteita ett\u00e4 degeneroituneesti elliptisille funktioille soveltuvaa\nviskositeettiratkaisujen teoriaa.\nK\u00e4ytettyjen merkint\u00f6jen esittelyn j\u00e4lkeen johdamme klassisen l\u00e4mp\u00f6yht\u00e4l\u00f6n\nja sen fundamentaaliratkaisun, sek\u00e4 todistamme alkuarvo-ongelman yksik\u00e4sitteisyyden.\nT\u00e4ss\u00e4 johdettu fundamentaaliratkaisu osoittautuu er\u00e4\u00e4ksi\nyksiulotteisen yht\u00e4l\u00f6n ratkaisuksi oikein tulkittuna. Johdatteluna ty\u00f6n p\u00e4\u00e4tulokseen\ntodistamme ekvivalenssituloksen n\u00e4iden kahden ratkaisun k\u00e4sitteelle\nl\u00e4mp\u00f6yht\u00e4l\u00f6n tapauksessa.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2020-06-24T06:27:17Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2020-06-24T06:27:17Z (GMT). No. of bitstreams: 0\n Previous issue date: 2020", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "63", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "normalisoitu p-parabolinen yht\u00e4l\u00f6", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "stokastinen peliteoria", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "vertailuperiaate", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "h\u00e4iritty k\u00f6ydenvetopeli", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "viskositeettiratkaisu", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "viskositeettiteoria", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "heikko ratkaisu", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "l\u00e4mp\u00f6yht\u00e4l\u00f6", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Normalisoidun p-parabolisen yht\u00e4l\u00f6n radiaaliset ratkaisut", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202006244556", "language": "", "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": 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