Publication Information

{'id': 'https://openalex.org/W2007573524', 'doi': 'https://doi.org/10.1137/0516021', 'title': 'Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows', 'display_name': 'Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows', 'publication_year': 1985, 'publication_date': '1985-03-01', 'ids': {'openalex': 'https://openalex.org/W2007573524', 'doi': 'https://doi.org/10.1137/0516021', 'mag': '2007573524'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/0516021', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S74141806', 'display_name': 'SIAM Journal on Mathematical Analysis', 'issn_l': '0036-1410', 'issn': ['0036-1410', '1095-7154'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5111988302', 'display_name': 'Björn Gustafsson', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Björn Gustafsson', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5111988302'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 4.791, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 94, 'citation_normalized_percentile': {'value': 0.967897, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '16', 'issue': '2', 'first_page': '279', 'last_page': '300'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.998, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.998, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10194', 'display_name': 'Nonlinear Partial Differential Equations', 'score': 0.9979, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10591', 'display_name': 'Theoretical and Computational Physics', 'score': 0.9971, 'subfield': {'id': 'https://openalex.org/subfields/3104', 'display_name': 'Condensed Matter Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/weak-solution', 'display_name': 'Weak solution', 'score': 0.57705456}, {'id': 'https://openalex.org/keywords/boundary-problem', 'display_name': 'Boundary problem', 'score': 0.42843843}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8588146}, {'id': 'https://openalex.org/C72169020', 'wikidata': 'https://www.wikidata.org/wiki/Q194404', 'display_name': 'Monotonic function', 'level': 2, 'score': 0.7399803}, {'id': 'https://openalex.org/C161999928', 'wikidata': 'https://www.wikidata.org/wiki/Q4556320', 'display_name': 'Variational inequality', 'level': 2, 'score': 0.7189136}, {'id': 'https://openalex.org/C62354387', 'wikidata': 'https://www.wikidata.org/wiki/Q875399', 'display_name': 'Boundary (topology)', 'level': 2, 'score': 0.6475218}, {'id': 'https://openalex.org/C45137528', 'wikidata': 'https://www.wikidata.org/wiki/Q7977966', 'display_name': 'Weak solution', 'level': 2, 'score': 0.57705456}, {'id': 'https://openalex.org/C38349280', 'wikidata': 'https://www.wikidata.org/wiki/Q1434290', 'display_name': 'Flow (mathematics)', 'level': 2, 'score': 0.5672379}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.56551105}, {'id': 'https://openalex.org/C2777212361', 'wikidata': 'https://www.wikidata.org/wiki/Q5127848', 'display_name': 'Class (philosophy)', 'level': 2, 'score': 0.55614066}, {'id': 'https://openalex.org/C2778067643', 'wikidata': 'https://www.wikidata.org/wiki/Q166507', 'display_name': 'Interval (graph theory)', 'level': 2, 'score': 0.5211925}, {'id': 'https://openalex.org/C182310444', 'wikidata': 'https://www.wikidata.org/wiki/Q1332643', 'display_name': 'Boundary value problem', 'level': 2, 'score': 0.44293627}, {'id': 'https://openalex.org/C148864181', 'wikidata': 'https://www.wikidata.org/wiki/Q4949969', 'display_name': 'Boundary problem', 'level': 3, 'score': 0.42843843}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.37969416}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.21453407}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.18110347}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/0516021', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S74141806', 'display_name': 'SIAM Journal on Mathematical Analysis', 'issn_l': '0036-1410', 'issn': ['0036-1410', '1095-7154'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'score': 0.56, 'display_name': 'Reduced inequalities'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 11, 'referenced_works': ['https://openalex.org/W1516681311', 'https://openalex.org/W1977814735', 'https://openalex.org/W1989977039', 'https://openalex.org/W2015533996', 'https://openalex.org/W2015818728', 'https://openalex.org/W2026127766', 'https://openalex.org/W2026385076', 'https://openalex.org/W2047959295', 'https://openalex.org/W2062797762', 'https://openalex.org/W2080256579', 'https://openalex.org/W4249460882'], 'related_works': ['https://openalex.org/W4380682190', 'https://openalex.org/W4315701745', 'https://openalex.org/W3118444755', 'https://openalex.org/W2367051115', 'https://openalex.org/W2146950613', 'https://openalex.org/W2102386043', 'https://openalex.org/W2077314575', 'https://openalex.org/W2007573524', 'https://openalex.org/W1990290471', 'https://openalex.org/W1979992799'], 'abstract_inverted_index': {'We': [0, 24, 65], 'consider': [1], 'a': [2, 11, 27, 32, 50], 'class': [3], 'of': [4, 17, 71, 83], 'two-dimensional': [5], 'moving': [6, 80], 'boundary': [7], 'problems': [8], 'originating': [9], 'from': [10], 'Hele': [12], 'Shaw': [13], 'flow': [14], 'problem.': [15], 'Concepts': [16], 'classical': [18, 28], 'and': [19, 74], 'weak': [20, 33, 52, 72], 'solutions': [21, 73], 'are': [22], 'introduced.': [23], 'show': [25], 'that': [26, 40], 'solution': [29, 34, 53], 'also': [30, 66], 'is': [31], 'and,': [35], 'by': [36], 'using': [37], 'variational': [38], 'inequalities,': [39], 'given': [41], 'arbitrary': [42], 'initial': [43], '$(t': [44], '=': [45], '0)$': [46], 'data': [47], 'there': [48], 'exists': [49], 'unique': [51], 'defined': [54], 'on': [55], 'the': [56, 79], 'time': [57], 'interval': [58], '$0': [59], '\\leqslant': [60], 't': [61], '<': [62], '\\infty': [63], '$.': [64], 'prove': [67], 'some': [68], 'monotonicity': [69], 'properties': [70], 'that,': [75], 'under': [76], 'reasonable': [77], 'hypotheses,': [78], 'boundaries': [81], 'consist': [82], 'analytic': [84], 'curves': [85], 'for': [86], '$t': [87], '>': [88], '0$.': [89]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2007573524', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 4}, {'year': 2017, 'cited_by_count': 3}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 4}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-14T04:35:43.709247', 'created_date': '2016-06-24'}