Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4286498336', 'doi': 'https://doi.org/10.1007/s40840-022-01355-4', 'title': 'Decay Rates of Solutions to the Surface Growth Equation and the Navier–Stokes System', 'display_name': 'Decay Rates of Solutions to the Surface Growth Equation and the Navier–Stokes System', 'publication_year': 2022, 'publication_date': '2022-07-21', 'ids': {'openalex': 'https://openalex.org/W4286498336', 'doi': 'https://doi.org/10.1007/s40840-022-01355-4'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s40840-022-01355-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2488590709', 'display_name': 'Bulletin of the Malaysian Mathematical Sciences Society', 'issn_l': '0126-6705', 'issn': ['0126-6705', '2180-4206'], '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/A5100323724', 'display_name': 'Wei Wei', 'orcid': 'https://orcid.org/0000-0002-4783-0154'}, 'institutions': [{'id': 'https://openalex.org/I37802460', 'display_name': 'Northwest University', 'ror': 'https://ror.org/00z3td547', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I37802460']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Wei Wei', 'raw_affiliation_strings': ['School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi’an, Shaanxi, 710127, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi’an, Shaanxi, 710127, People’s Republic of China', 'institution_ids': ['https://openalex.org/I37802460']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5030163330', 'display_name': 'Huan Yu', 'orcid': 'https://orcid.org/0000-0002-9324-0200'}, 'institutions': [{'id': 'https://openalex.org/I78675632', 'display_name': 'Beijing Information Science & Technology University', 'ror': 'https://ror.org/04xnqep60', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I78675632']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Huan Yu', 'raw_affiliation_strings': ['School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, People’s Republic of China', 'institution_ids': ['https://openalex.org/I78675632']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5000584534', 'display_name': 'Yike Huang', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I23171815', 'display_name': 'Zhengzhou University of Light Industry', 'ror': 'https://ror.org/05fwr8z16', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I23171815']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Yike Huang', 'raw_affiliation_strings': ['College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, People’s Republic of China', 'institution_ids': ['https://openalex.org/I23171815']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': ['https://openalex.org/A5030163330'], 'corresponding_institution_ids': ['https://openalex.org/I78675632'], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.635, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.563364, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 62, 'max': 72}, 'biblio': {'volume': '45', 'issue': '6', 'first_page': '3085', 'last_page': '3100'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10940', 'display_name': 'Mathematical Modeling of Fluid Dynamics', 'score': 0.9997, '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': 'Mathematical Modeling of Fluid Dynamics', 'score': 0.9997, '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': 'Fractional Laplacian Operators', 'score': 0.9946, '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/T10229', 'display_name': 'Optimal Transport in Geometry and Analysis', 'score': 0.9857, '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/standard-probability-space', 'display_name': 'Standard probability space', 'score': 0.7692231}, {'id': 'https://openalex.org/keywords/navier-stokes-equations', 'display_name': 'Navier-Stokes Equations', 'score': 0.606261}, {'id': 'https://openalex.org/keywords/sobolev-spaces', 'display_name': 'Sobolev Spaces', 'score': 0.51398}], 'concepts': [{'id': 'https://openalex.org/C99730327', 'wikidata': 'https://www.wikidata.org/wiki/Q1501536', 'display_name': 'Sobolev space', 'level': 2, 'score': 0.90889895}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.790171}, {'id': 'https://openalex.org/C12871628', 'wikidata': 'https://www.wikidata.org/wiki/Q7598372', 'display_name': 'Standard probability space', 'level': 2, 'score': 0.7692231}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.61033714}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.5246128}, {'id': 'https://openalex.org/C99844830', 'wikidata': 'https://www.wikidata.org/wiki/Q102441924', 'display_name': 'Scaling', 'level': 2, 'score': 0.52387613}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.48939624}, {'id': 'https://openalex.org/C14158598', 'wikidata': 'https://www.wikidata.org/wiki/Q853831', 'display_name': 'Lebesgue integration', 'level': 2, 'score': 0.46831924}, {'id': 'https://openalex.org/C2781278361', 'wikidata': 'https://www.wikidata.org/wiki/Q201321', 'display_name': 'Navier–Stokes equations', 'level': 3, 'score': 0.46672148}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.41450047}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.1739187}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.1720221}, {'id': 'https://openalex.org/C84655787', 'wikidata': 'https://www.wikidata.org/wiki/Q8067817', 'display_name': 'Compressibility', 'level': 2, 'score': 0.16693541}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.09114829}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.068956524}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s40840-022-01355-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2488590709', 'display_name': 'Bulletin of the Malaysian Mathematical Sciences Society', 'issn_l': '0126-6705', 'issn': ['0126-6705', '2180-4206'], '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': [{'display_name': 'Affordable and clean energy', 'id': 'https://metadata.un.org/sdg/7', 'score': 0.47}], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '11901040'}, {'funder': 'https://openalex.org/F4320321793', 'funder_display_name': 'Beijing Municipal Education Commission', 'award_id': 'KM202011232020'}], 'datasets': [], 'versions': [], 'referenced_works_count': 38, 'referenced_works': ['https://openalex.org/W1481464202', 'https://openalex.org/W1968974550', 'https://openalex.org/W1974423967', 'https://openalex.org/W1977862085', 'https://openalex.org/W1980820276', 'https://openalex.org/W1981506029', 'https://openalex.org/W1982418511', 'https://openalex.org/W1985765218', 'https://openalex.org/W1986823960', 'https://openalex.org/W2001691824', 'https://openalex.org/W2031343718', 'https://openalex.org/W2036087420', 'https://openalex.org/W2043852408', 'https://openalex.org/W2044196646', 'https://openalex.org/W2050571931', 'https://openalex.org/W2053908978', 'https://openalex.org/W2070854404', 'https://openalex.org/W2079313917', 'https://openalex.org/W2092992523', 'https://openalex.org/W2412676986', 'https://openalex.org/W2805955500', 'https://openalex.org/W2893711391', 'https://openalex.org/W2963280278', 'https://openalex.org/W2963363408', 'https://openalex.org/W2963418131', 'https://openalex.org/W2963975422', 'https://openalex.org/W3082099885', 'https://openalex.org/W3099067492', 'https://openalex.org/W3102415465', 'https://openalex.org/W3116903093', 'https://openalex.org/W3153183254', 'https://openalex.org/W3158108023', 'https://openalex.org/W3161354813', 'https://openalex.org/W4210966632', 'https://openalex.org/W4226514571', 'https://openalex.org/W4235247311', 'https://openalex.org/W4292024750', 'https://openalex.org/W4306161012'], 'related_works': ['https://openalex.org/W825873024', 'https://openalex.org/W4318200002', 'https://openalex.org/W4286498336', 'https://openalex.org/W4236122544', 'https://openalex.org/W3093219075', 'https://openalex.org/W2167296269', 'https://openalex.org/W2143834661', 'https://openalex.org/W2012145860', 'https://openalex.org/W1999617829', 'https://openalex.org/W1517637473'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4286498336', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-08-29T06:34:11.972124', 'created_date': '2022-07-22'}