{"id":"https://openalex.org/W3139587366","doi":"https://doi.org/10.1007/s00332-022-09805-w","title":"Rigorous Analysis and Dynamics of Hibler\u2019s Sea Ice Model","display_name":"Rigorous Analysis and Dynamics of Hibler\u2019s Sea Ice Model","publication_year":2022,"publication_date":"2022-05-26","ids":{"openalex":"https://openalex.org/W3139587366","doi":"https://doi.org/10.1007/s00332-022-09805-w","mag":"3139587366"},"language":"en","primary_location":{"id":"doi:10.1007/s00332-022-09805-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-022-09805-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-022-09805-w.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00332-022-09805-w.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101405032","display_name":"Felix Brandt","orcid":"https://orcid.org/0009-0005-0437-9016"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Brandt","raw_affiliation_strings":["Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086019141","display_name":"Karoline Disser","orcid":"https://orcid.org/0000-0002-0222-3262"},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Karoline Disser","raw_affiliation_strings":["Universit\u00e4t Kassel, Institut f\u00fcr Mathematik, Heinrich-Plett-Stra\u00dfe 40, 34132, Kassel, Germany"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Kassel, Institut f\u00fcr Mathematik, Heinrich-Plett-Stra\u00dfe 40, 34132, Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007024841","display_name":"Robert Haller\u2010Dintelmann","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Haller-Dintelmann","raw_affiliation_strings":["Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034972432","display_name":"Matthias Hieber","orcid":"https://orcid.org/0000-0003-1779-6298"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technical University of Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Hieber","raw_affiliation_strings":["Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Darmstadt, Fachbereich Mathematik, Schlossgartenstrasse 7, 64289, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101405032"],"corresponding_institution_ids":["https://openalex.org/I31512782"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.494,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.79098326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11459","display_name":"Arctic and Antarctic ice dynamics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11459","display_name":"Arctic and Antarctic ice dynamics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sea-ice","display_name":"Sea ice","score":0.6226085424423218},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5215606689453125},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.4974506199359894},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.468291699886322},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.46228599548339844},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4615478813648224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.355336993932724},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.35135605931282043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32206815481185913},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3006722033023834},{"id":"https://openalex.org/keywords/climatology","display_name":"Climatology","score":0.29872244596481323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16019004583358765},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0833372175693512}],"concepts":[{"id":"https://openalex.org/C136894858","wikidata":"https://www.wikidata.org/wiki/Q213926","display_name":"Sea ice","level":2,"score":0.6226085424423218},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5215606689453125},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.4974506199359894},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.468291699886322},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.46228599548339844},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4615478813648224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.355336993932724},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35135605931282043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32206815481185913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3006722033023834},{"id":"https://openalex.org/C49204034","wikidata":"https://www.wikidata.org/wiki/Q52139","display_name":"Climatology","level":1,"score":0.29872244596481323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16019004583358765},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0833372175693512},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00332-022-09805-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-022-09805-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-022-09805-w.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:156634","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/view/person/Brandt=3AFelix=3A=3A.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"},{"id":"pmh:oai:arXiv.org:2104.01336","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.01336","pdf_url":"https://arxiv.org/pdf/2104.01336","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:ark:/13030/qt81d2p0wx","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:escholarship.org:ark:/13030/qt81d2p0wx","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/81d2p0wx","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Nonlinear Science, vol 32, iss 4","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00332-022-09805-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00332-022-09805-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00332-022-09805-w.pdf","source":{"id":"https://openalex.org/S131276044","display_name":"Journal of Nonlinear Science","issn_l":"0938-8974","issn":["0938-8974","1432-1467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Nonlinear Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.8700000047683716,"display_name":"Life below water"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323384","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3139587366.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W331390909","https://openalex.org/W570977054","https://openalex.org/W1759556418","https://openalex.org/W1965234251","https://openalex.org/W1968275831","https://openalex.org/W1983349253","https://openalex.org/W1986312912","https://openalex.org/W1989654257","https://openalex.org/W1996981240","https://openalex.org/W2021264612","https://openalex.org/W2040211481","https://openalex.org/W2052129269","https://openalex.org/W2062953815","https://openalex.org/W2080666567","https://openalex.org/W2097899578","https://openalex.org/W2110052329","https://openalex.org/W2110089296","https://openalex.org/W2119104884","https://openalex.org/W2129069316","https://openalex.org/W2148797843","https://openalex.org/W2148947997","https://openalex.org/W2159228671","https://openalex.org/W2168829287","https://openalex.org/W2175906253","https://openalex.org/W2479918603","https://openalex.org/W2492922843","https://openalex.org/W2623226805","https://openalex.org/W2761123168","https://openalex.org/W2921707001","https://openalex.org/W3030475700","https://openalex.org/W3042839419","https://openalex.org/W3092463244","https://openalex.org/W3108959607","https://openalex.org/W3134019796","https://openalex.org/W3202856231","https://openalex.org/W3207047737","https://openalex.org/W4234760113","https://openalex.org/W4251155150","https://openalex.org/W4300857049"],"related_works":["https://openalex.org/W1636325709","https://openalex.org/W2378491141","https://openalex.org/W2724817865","https://openalex.org/W2400992695","https://openalex.org/W2382944939","https://openalex.org/W3048257052","https://openalex.org/W2148735344","https://openalex.org/W2771969352","https://openalex.org/W1993066527","https://openalex.org/W4300802590"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"develops":[3],"for":[4,80],"the":[5,50,65],"first":[6],"time":[7],"a":[8,23,32,40],"rigorous":[9],"analysis":[10],"of":[11,14,43,57],"Hibler\u2019s":[12,19,29,44],"model":[13,30,51],"sea":[15,46,58],"ice":[16,20,47],"dynamics.":[17],"Identifying":[18],"stress":[21],"as":[22,31],"quasilinear":[24,33],"second-order":[25],"operator":[26],"and":[27,55,75],"regarding":[28],"evolution":[34],"equation,":[35],"it":[36],"is":[37,60],"shown":[38],"that":[39],"regularized":[41],"version":[42],"coupled":[45],"model,":[48],"i.e.,":[49],"coupling":[52],"velocity,":[53],"thickness":[54],"compactness":[56],"ice,":[59],"locally":[61],"strongly":[62,78],"well-posed":[63,79],"within":[64],"$$L_q$$":[66],"<mml:math":[67],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[68],"<mml:msub>":[69],"<mml:mi>L</mml:mi>":[70],"<mml:mi>q</mml:mi>":[71],"</mml:msub>":[72],"</mml:math>":[73],"-setting":[74],"also":[76],"globally":[77],"initial":[81],"data":[82],"close":[83],"to":[84],"constant":[85],"equilibria.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
