Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3198045404', 'doi': 'https://doi.org/10.1007/s00332-021-09739-9', 'title': 'Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation', 'display_name': 'Sensitivity Analysis for the 2D Navier–Stokes Equations with Applications to Continuous Data Assimilation', 'publication_year': 2021, 'publication_date': '2021-08-27', 'ids': {'openalex': 'https://openalex.org/W3198045404', 'doi': 'https://doi.org/10.1007/s00332-021-09739-9', 'mag': '3198045404'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00332-021-09739-9', 'pdf_url': None, '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/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': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/2007.01860', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5003323001', 'display_name': 'Elizabeth Carlson', 'orcid': 'https://orcid.org/0000-0002-5773-9311'}, 'institutions': [{'id': 'https://openalex.org/I114395901', 'display_name': 'University of Nebraska–Lincoln', 'ror': 'https://ror.org/043mer456', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I114395901']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Elizabeth Carlson', 'raw_affiliation_strings': ['Department of Mathematics, University of Nebraska–Lincoln, 203 Avery Hall, Lincoln, NE, 68588-0130, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Nebraska–Lincoln, 203 Avery Hall, Lincoln, NE, 68588-0130, USA', 'institution_ids': ['https://openalex.org/I114395901']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5067799906', 'display_name': 'Adam Larios', 'orcid': 'https://orcid.org/0000-0001-8066-1439'}, 'institutions': [{'id': 'https://openalex.org/I114395901', 'display_name': 'University of Nebraska–Lincoln', 'ror': 'https://ror.org/043mer456', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I114395901']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Adam Larios', 'raw_affiliation_strings': ['Department of Mathematics, University of Nebraska–Lincoln, 203 Avery Hall, Lincoln, NE, 68588-0130, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Nebraska–Lincoln, 203 Avery Hall, Lincoln, NE, 68588-0130, USA', 'institution_ids': ['https://openalex.org/I114395901']}]}], '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': 5.495, 'has_fulltext': False, 'cited_by_count': 19, 'citation_normalized_percentile': {'value': 0.827272, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 93, 'max': 94}, 'biblio': {'volume': '31', 'issue': '5', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10940', 'display_name': 'Navier-Stokes equation solutions', 'score': 0.9961, '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/T10940', 'display_name': 'Navier-Stokes equation solutions', 'score': 0.9961, '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/T10360', 'display_name': 'Fluid Dynamics and Turbulent Flows', 'score': 0.9896, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11110', 'display_name': 'Stability and Controllability of Differential Equations', 'score': 0.9837, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/regularization', 'display_name': 'Regularization', 'score': 0.45143774}, {'id': 'https://openalex.org/keywords/independent-equation', 'display_name': 'Independent equation', 'score': 0.41680014}], 'concepts': [{'id': 'https://openalex.org/C38409319', 'wikidata': 'https://www.wikidata.org/wiki/Q375175', 'display_name': 'Euler equations', 'level': 2, 'score': 0.8088623}, {'id': 'https://openalex.org/C2781278361', 'wikidata': 'https://www.wikidata.org/wiki/Q201321', 'display_name': 'Navier–Stokes equations', 'level': 3, 'score': 0.7492671}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7239116}, {'id': 'https://openalex.org/C2777021972', 'wikidata': 'https://www.wikidata.org/wiki/Q22976830', 'display_name': 'Uniqueness', 'level': 2, 'score': 0.63716173}, {'id': 'https://openalex.org/C21200559', 'wikidata': 'https://www.wikidata.org/wiki/Q7451068', 'display_name': 'Sensitivity (control systems)', 'level': 2, 'score': 0.54743314}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.5357624}, {'id': 'https://openalex.org/C88768529', 'wikidata': 'https://www.wikidata.org/wiki/Q17104757', 'display_name': 'Non-dimensionalization and scaling of the Navier–Stokes equations', 'level': 4, 'score': 0.5315326}, {'id': 'https://openalex.org/C199422724', 'wikidata': 'https://www.wikidata.org/wiki/Q41118', 'display_name': 'Quotient', 'level': 2, 'score': 0.495669}, {'id': 'https://openalex.org/C84655787', 'wikidata': 'https://www.wikidata.org/wiki/Q8067817', 'display_name': 'Compressibility', 'level': 2, 'score': 0.46493456}, {'id': 'https://openalex.org/C2776135515', 'wikidata': 'https://www.wikidata.org/wiki/Q17143721', 'display_name': 'Regularization (linguistics)', 'level': 2, 'score': 0.45143774}, {'id': 'https://openalex.org/C24552861', 'wikidata': 'https://www.wikidata.org/wiki/Q2670177', 'display_name': 'Data assimilation', 'level': 2, 'score': 0.44286263}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.42350414}, {'id': 'https://openalex.org/C200602138', 'wikidata': 'https://www.wikidata.org/wiki/Q16979193', 'display_name': 'Independent equation', 'level': 3, 'score': 0.41680014}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.3804995}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.27187425}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.12664658}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.10384321}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.09524104}, {'id': 'https://openalex.org/C24326235', 'wikidata': 'https://www.wikidata.org/wiki/Q126095', 'display_name': 'Electronic engineering', 'level': 1, 'score': 0.0}, {'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/C153294291', 'wikidata': 'https://www.wikidata.org/wiki/Q25261', 'display_name': 'Meteorology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s00332-021-09739-9', 'pdf_url': None, '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/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}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2007.01860', 'pdf_url': 'https://arxiv.org/pdf/2007.01860', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/2007.01860', 'pdf_url': 'https://arxiv.org/pdf/2007.01860', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320306076', 'funder_display_name': 'National Science Foundation', 'award_id': 'GRFP-1610400'}], 'datasets': [], 'versions': [], 'referenced_works_count': 73, 'referenced_works': ['https://openalex.org/W1539881364', 'https://openalex.org/W1913178645', 'https://openalex.org/W1925472001', 'https://openalex.org/W1968936982', 'https://openalex.org/W1974672967', 'https://openalex.org/W1974942106', 'https://openalex.org/W1985279130', 'https://openalex.org/W1996568929', 'https://openalex.org/W2000268456', 'https://openalex.org/W2002027679', 'https://openalex.org/W2003724836', 'https://openalex.org/W2007194763', 'https://openalex.org/W2011619450', 'https://openalex.org/W2022422694', 'https://openalex.org/W2035587664', 'https://openalex.org/W2046277806', 'https://openalex.org/W2047793620', 'https://openalex.org/W2069021144', 'https://openalex.org/W2074949045', 'https://openalex.org/W2076629427', 'https://openalex.org/W2077385603', 'https://openalex.org/W2088417707', 'https://openalex.org/W2147838227', 'https://openalex.org/W2168899527', 'https://openalex.org/W2201851948', 'https://openalex.org/W2318086664', 'https://openalex.org/W2319195607', 'https://openalex.org/W2396529136', 'https://openalex.org/W2497754766', 'https://openalex.org/W2550865901', 'https://openalex.org/W2551282305', 'https://openalex.org/W2551542430', 'https://openalex.org/W2603597282', 'https://openalex.org/W2612299678', 'https://openalex.org/W2767128592', 'https://openalex.org/W2781629936', 'https://openalex.org/W2799011959', 'https://openalex.org/W2800362522', 'https://openalex.org/W2890237223', 'https://openalex.org/W2920954641', 'https://openalex.org/W2920981498', 'https://openalex.org/W2945546298', 'https://openalex.org/W2960680849', 'https://openalex.org/W2962760563', 'https://openalex.org/W2962898974', 'https://openalex.org/W2963112073', 'https://openalex.org/W2963314344', 'https://openalex.org/W2963867770', 'https://openalex.org/W2963874367', 'https://openalex.org/W2963894671', 'https://openalex.org/W2963913058', 'https://openalex.org/W2964178943', 'https://openalex.org/W2965897782', 'https://openalex.org/W2973153139', 'https://openalex.org/W2978974649', 'https://openalex.org/W2991560062', 'https://openalex.org/W2996850336', 'https://openalex.org/W2999138968', 'https://openalex.org/W3002966632', 'https://openalex.org/W3008212459', 'https://openalex.org/W3094051949', 'https://openalex.org/W3098741006', 'https://openalex.org/W3099034578', 'https://openalex.org/W3099877162', 'https://openalex.org/W3101512171', 'https://openalex.org/W3103531110', 'https://openalex.org/W3104096483', 'https://openalex.org/W3104728148', 'https://openalex.org/W3120401366', 'https://openalex.org/W3125802632', 'https://openalex.org/W3133674768', 'https://openalex.org/W3148800415', 'https://openalex.org/W4250252838'], 'related_works': ['https://openalex.org/W650993247', 'https://openalex.org/W4389243261', 'https://openalex.org/W3198045404', 'https://openalex.org/W3180958935', 'https://openalex.org/W2326574938', 'https://openalex.org/W2184035416', 'https://openalex.org/W2148142329', 'https://openalex.org/W2042809915', 'https://openalex.org/W1575885639', 'https://openalex.org/W1514935853'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3198045404', 'counts_by_year': [{'year': 2024, 'cited_by_count': 8}, {'year': 2023, 'cited_by_count': 7}, {'year': 2022, 'cited_by_count': 4}], 'updated_date': '2024-12-15T09:51:19.981861', 'created_date': '2021-09-13'}