Publication Information

{'id': 'https://openalex.org/W2123362841', 'doi': 'https://doi.org/10.1098/rspa.1999.0403', 'title': 'Low Mach number limit of viscous compressible flows in the whole space', 'display_name': 'Low Mach number limit of viscous compressible flows in the whole space', 'publication_year': 1999, 'publication_date': '1999-06-08', 'ids': {'openalex': 'https://openalex.org/W2123362841', 'doi': 'https://doi.org/10.1098/rspa.1999.0403', 'mag': '2123362841'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1098/rspa.1999.0403', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S3006183880', 'display_name': 'Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences', 'issn_l': '1364-5021', 'issn': ['1364-5021', '1471-2946'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319787', 'host_organization_name': 'Royal Society', 'host_organization_lineage': ['https://openalex.org/P4310319787'], 'host_organization_lineage_names': ['Royal Society'], '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/A5023196843', 'display_name': 'Benoı̂t Desjardins', 'orcid': 'https://orcid.org/0000-0003-2300-0145'}, 'institutions': [{'id': 'https://openalex.org/I3019441195', 'display_name': "Laboratoire de Mathématiques d'Orsay", 'ror': 'https://ror.org/03ab0zs98', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I1294671590', 'https://openalex.org/I277688954', 'https://openalex.org/I3019441195']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Benoit Desjardins', 'raw_affiliation_strings': ["Département de Mathématiques et d'Informatique, ENS, 45 rue d'Ulm, 75005 Paris, France"], 'affiliations': [{'raw_affiliation_string': "Département de Mathématiques et d'Informatique, ENS, 45 rue d'Ulm, 75005 Paris, France", 'institution_ids': ['https://openalex.org/I3019441195']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5106427865', 'display_name': 'Éric Grenier', 'orcid': 'https://orcid.org/0000-0002-2260-1101'}, 'institutions': [{'id': 'https://openalex.org/I4210160577', 'display_name': 'Unité de Mathématiques Pures et Appliquées', 'ror': 'https://ror.org/05n21n105', 'country_code': 'FR', 'type': 'facility', 'lineage': ['https://openalex.org/I113428412', 'https://openalex.org/I1294671590', 'https://openalex.org/I1326498283', 'https://openalex.org/I203339264', 'https://openalex.org/I4210141950', 'https://openalex.org/I4210160577']}, {'id': 'https://openalex.org/I113428412', 'display_name': 'École Normale Supérieure de Lyon', 'ror': 'https://ror.org/04zmssz18', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I113428412', 'https://openalex.org/I203339264']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'E. Grenier', 'raw_affiliation_strings': ["UMPA (CNRS UMR 128), ENS de Lyon, 46 allee d'Italie, 69364 Lyon cedex 07, France"], 'affiliations': [{'raw_affiliation_string': "UMPA (CNRS UMR 128), ENS de Lyon, 46 allee d'Italie, 69364 Lyon cedex 07, France", 'institution_ids': ['https://openalex.org/I4210160577', 'https://openalex.org/I113428412', 'https://openalex.org/I1294671590']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 5.492, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 192, 'citation_normalized_percentile': {'value': 0.986221, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '455', 'issue': '1986', 'first_page': '2271', 'last_page': '2279'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11654', 'display_name': 'Advanced Mathematical Physics Problems', 'score': 1.0, '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': 1.0, '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/T10940', 'display_name': 'Navier-Stokes equation solutions', '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/T11110', 'display_name': 'Stability and Controllability of Differential Equations', 'score': 0.9808, '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/inviscid-flow', 'display_name': 'Inviscid flow', 'score': 0.89825493}, {'id': 'https://openalex.org/keywords/isentropic-process', 'display_name': 'Isentropic process', 'score': 0.5396609}, {'id': 'https://openalex.org/keywords/compressible-flow', 'display_name': 'Compressible flow', 'score': 0.4774109}], 'concepts': [{'id': 'https://openalex.org/C86252789', 'wikidata': 'https://www.wikidata.org/wiki/Q2247765', 'display_name': 'Inviscid flow', 'level': 2, 'score': 0.89825493}, {'id': 'https://openalex.org/C165231844', 'wikidata': 'https://www.wikidata.org/wiki/Q160669', 'display_name': 'Mach number', 'level': 2, 'score': 0.8217769}, {'id': 'https://openalex.org/C151201525', 'wikidata': 'https://www.wikidata.org/wiki/Q177239', 'display_name': 'Limit (mathematics)', 'level': 2, 'score': 0.69556665}, {'id': 'https://openalex.org/C84655787', 'wikidata': 'https://www.wikidata.org/wiki/Q8067817', 'display_name': 'Compressibility', 'level': 2, 'score': 0.64288515}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.63409007}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.6077825}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.55505514}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.5409968}, {'id': 'https://openalex.org/C172959903', 'wikidata': 'https://www.wikidata.org/wiki/Q907271', 'display_name': 'Isentropic process', 'level': 2, 'score': 0.5396609}, {'id': 'https://openalex.org/C5192115', 'wikidata': 'https://www.wikidata.org/wiki/Q2705141', 'display_name': 'Compressible flow', 'level': 3, 'score': 0.4774109}, {'id': 'https://openalex.org/C2781278361', 'wikidata': 'https://www.wikidata.org/wiki/Q201321', 'display_name': 'Navier–Stokes equations', 'level': 3, 'score': 0.46837598}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.34882924}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.25761205}, {'id': 'https://openalex.org/C57879066', 'wikidata': 'https://www.wikidata.org/wiki/Q41217', 'display_name': 'Mechanics', 'level': 1, 'score': 0.15755257}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0656406}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1098/rspa.1999.0403', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S3006183880', 'display_name': 'Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences', 'issn_l': '1364-5021', 'issn': ['1364-5021', '1471-2946'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319787', 'host_organization_name': 'Royal Society', 'host_organization_lineage': ['https://openalex.org/P4310319787'], 'host_organization_lineage_names': ['Royal Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 17, 'referenced_works': ['https://openalex.org/W1643641630', 'https://openalex.org/W1970246853', 'https://openalex.org/W1997355578', 'https://openalex.org/W2002465072', 'https://openalex.org/W2005135197', 'https://openalex.org/W2012468184', 'https://openalex.org/W2015217649', 'https://openalex.org/W2023455654', 'https://openalex.org/W2024249904', 'https://openalex.org/W2067367984', 'https://openalex.org/W2070905069', 'https://openalex.org/W2072579808', 'https://openalex.org/W2076088568', 'https://openalex.org/W2094134574', 'https://openalex.org/W2102327241', 'https://openalex.org/W3126539578', 'https://openalex.org/W4285719527'], 'related_works': ['https://openalex.org/W4234264303', 'https://openalex.org/W327736757', 'https://openalex.org/W2923746833', 'https://openalex.org/W2886057782', 'https://openalex.org/W2877193653', 'https://openalex.org/W2613344690', 'https://openalex.org/W2486491901', 'https://openalex.org/W2003759032', 'https://openalex.org/W1999987928', 'https://openalex.org/W1984371209'], 'abstract_inverted_index': {'This': [0, 31], 'paper': [1], 'is': [2, 76], 'devoted': [3], 'to': [4, 13, 81], 'the': [5, 14, 22, 53, 58, 63, 68, 73, 87], 'low': [6], 'Mach': [7], 'number': [8], 'limit': [9], 'of': [10, 86], 'weak': [11, 84], 'solutions': [12], 'compressible': [15], 'Navier–Stokes': [16, 89], 'equations': [17], 'for': [18, 52], 'isentropic': [19], 'fluids': [20], 'in': [21, 57], 'whole': [23], 'space': [24], 'Rd': [25], '(d': [26], '=': [27], '2': [28], 'or': [29], '3).': [30], 'problem': [32], 'was': [33], 'investigated': [34], 'by': [35], 'P.': [36], 'L.': [37], 'Lions': [38], 'and': [39, 66, 79], 'N.': [40], 'Masmoudi.': [41], 'We': [42, 70], 'present': [43], 'here': [44], 'a': [45, 82], 'different': [46], 'approach': [47], 'based': [48], 'upon': [49], "Strichartz's": [50], 'estimates': [51], 'linear': [54], 'wave': [55], 'equation': [56], 'inviscid': [59], 'case,': [60], 'which': [61], 'improves': [62], 'convergence': [64], 'result': [65], 'simplifies': [67], 'proof.': [69], 'prove': [71], 'that': [72], 'velocity': [74], 'field': [75], 'strongly': [77], 'compact': [78], 'converges': [80], 'global': [83], 'solution': [85], 'incompressible': [88], 'equations.': [90]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2123362841', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 10}, {'year': 2022, 'cited_by_count': 11}, {'year': 2021, 'cited_by_count': 12}, {'year': 2020, 'cited_by_count': 12}, {'year': 2019, 'cited_by_count': 5}, {'year': 2018, 'cited_by_count': 8}, {'year': 2017, 'cited_by_count': 27}, {'year': 2016, 'cited_by_count': 11}, {'year': 2015, 'cited_by_count': 5}, {'year': 2014, 'cited_by_count': 12}, {'year': 2013, 'cited_by_count': 9}, {'year': 2012, 'cited_by_count': 9}], 'updated_date': '2025-01-16T00:40:45.623237', 'created_date': '2016-06-24'}