Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1996626681', 'doi': 'https://doi.org/10.1007/s002200050801', 'title': 'Global Weak Solutions for a Shallow Water Equation', 'display_name': 'Global Weak Solutions for a Shallow Water Equation', 'publication_year': 2000, 'publication_date': '2000-04-01', 'ids': {'openalex': 'https://openalex.org/W1996626681', 'doi': 'https://doi.org/10.1007/s002200050801', 'mag': '1996626681'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002200050801', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S100601982', 'display_name': 'Communications in Mathematical Physics', 'issn_l': '0010-3616', 'issn': ['0010-3616', '1432-0916'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/A5010200247', 'display_name': 'Adrian Constantin', 'orcid': 'https://orcid.org/0000-0001-8868-9305'}, 'institutions': [{'id': 'https://openalex.org/I202697423', 'display_name': 'University of Zurich', 'ror': 'https://ror.org/02crff812', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I202697423']}], 'countries': ['CH'], 'is_corresponding': False, 'raw_author_name': 'Adrian Constantin', 'raw_affiliation_strings': ['Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland, CH'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland, CH', 'institution_ids': ['https://openalex.org/I202697423']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5038117365', 'display_name': 'Luc Molinet', 'orcid': 'https://orcid.org/0000-0002-5491-8357'}, 'institutions': [{'id': 'https://openalex.org/I202697423', 'display_name': 'University of Zurich', 'ror': 'https://ror.org/02crff812', 'country_code': 'CH', 'type': 'education', 'lineage': ['https://openalex.org/I202697423']}], 'countries': ['CH'], 'is_corresponding': False, 'raw_author_name': 'Luc Molinet', 'raw_affiliation_strings': ['Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland, CH'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland, CH', 'institution_ids': ['https://openalex.org/I202697423']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.913, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 492, 'citation_normalized_percentile': {'value': 0.983263, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '211', 'issue': '1', 'first_page': '45', 'last_page': '61'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11654', 'display_name': 'Advanced Mathematical Physics Problems', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T11654', 'display_name': 'Advanced Mathematical Physics Problems', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/T10248', 'display_name': 'Nonlinear Waves and Solitons', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10940', 'display_name': 'Navier-Stokes equation solutions', 'score': 0.9969, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/complex-system', 'display_name': 'Complex system', 'score': 0.63299143}], 'concepts': [{'id': 'https://openalex.org/C47822265', 'wikidata': 'https://www.wikidata.org/wiki/Q854457', 'display_name': 'Complex system', 'level': 2, 'score': 0.63299143}, {'id': 'https://openalex.org/C186348155', 'wikidata': 'https://www.wikidata.org/wiki/Q7975538', 'display_name': 'Waves and shallow water', 'level': 2, 'score': 0.5233228}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.50180745}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.4400084}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.36680216}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.36502862}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.3528531}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.32938245}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.19402057}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.13625687}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.1269055}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002200050801', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S100601982', 'display_name': 'Communications in Mathematical Physics', 'issn_l': '0010-3616', 'issn': ['0010-3616', '1432-0916'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/6', 'display_name': 'Clean water and sanitation', 'score': 0.63}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 19, 'referenced_works': ['https://openalex.org/W1492711015', 'https://openalex.org/W1551335708', 'https://openalex.org/W1556837715', 'https://openalex.org/W1887903210', 'https://openalex.org/W1986788497', 'https://openalex.org/W1995410519', 'https://openalex.org/W2003212506', 'https://openalex.org/W2026031976', 'https://openalex.org/W2046078856', 'https://openalex.org/W2052443792', 'https://openalex.org/W2064355804', 'https://openalex.org/W2066934211', 'https://openalex.org/W2069460357', 'https://openalex.org/W2084217855', 'https://openalex.org/W2087124855', 'https://openalex.org/W2136437647', 'https://openalex.org/W2143631463', 'https://openalex.org/W3009347843', 'https://openalex.org/W36901694'], 'related_works': ['https://openalex.org/W4309631795', 'https://openalex.org/W3209622820', 'https://openalex.org/W2382250648', 'https://openalex.org/W2378163306', 'https://openalex.org/W2368367684', 'https://openalex.org/W2331300579', 'https://openalex.org/W2284083282', 'https://openalex.org/W2154204858', 'https://openalex.org/W1889865591', 'https://openalex.org/W1877894942'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1996626681', 'counts_by_year': [{'year': 2024, 'cited_by_count': 15}, {'year': 2023, 'cited_by_count': 17}, {'year': 2022, 'cited_by_count': 19}, {'year': 2021, 'cited_by_count': 19}, {'year': 2020, 'cited_by_count': 29}, {'year': 2019, 'cited_by_count': 27}, {'year': 2018, 'cited_by_count': 20}, {'year': 2017, 'cited_by_count': 21}, {'year': 2016, 'cited_by_count': 24}, {'year': 2015, 'cited_by_count': 31}, {'year': 2014, 'cited_by_count': 26}, {'year': 2013, 'cited_by_count': 19}, {'year': 2012, 'cited_by_count': 25}], 'updated_date': '2024-12-22T10:21:24.151884', 'created_date': '2016-06-24'}