{"_buckets": {"deposit": "1d9a2f1a-1fb5-426f-a77a-a3308ad905b2"}, "_deposit": {"id": "40307", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40307"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040307"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1997", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "119", "bibliographicPageStart": "67", "bibliographicVolumeNumber": "4", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_13": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "Stability of stationary Navier-Stokes flows in $\\mbox{\\tenopenface R}^n$, $n\\geq 3$, is discussed in the function space ${\\bm L}^1$ or ${\\bm H}^1$ (Hardy space). It is shown that a stationary flow ${\\bm w}$ is stable in ${\\bm H}^1$\\ (resp.\\ ${\\bm L}^1$)\\ if $\\sup|x|\\cdot|{\\bm w}(x)|+\\sup|x|^2|\\\nabla{\\bm w}(x)|$ (resp.\\ $\\|{\\bm w}\\|_{(n,1)}+\\|\\\nabla{\\bm w}\\|_{(n/2,1)}$) is small. Explicit decay rates of the form $O(t^{-\u03b2/2})$, $0\u003c\u03b2\\leq 1$, are deduced for perturbations under additional assumptions on ${\\bm w}$ and on initial data. The proofs of the results heavily rely on the theory of Hardy spaces ${\\bm H}^p$\\ $(0", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR1451304"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "35Q30(MSC1991)"}, {"subitem_text_value": "76D05(MSC1991)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "1996-01-16"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Miyakawa, Tetsuro"}], "nameIdentifiers": [{"nameIdentifier": "138904", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms040104.pdf", "filesize": [{"value": "320.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 320500.0, "url": {"label": "jms040104.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40307/files/jms040104.pdf"}, "version_id": "b3de7dc6-61a4-4f1e-bfaa-4ab738be7bdc"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "On L$^1$-Stability of Stationary Navier-Stokes Flows in $\\Bbb R^n$", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "On L$^1$-Stability of Stationary Navier-Stokes Flows in $\\Bbb R^n$"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/7047/7053", "9/504/6868/7049/7054"], "permalink_uri": "http://hdl.handle.net/2261/1374", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40307", "relation": {}, "relation_version_is_last": true, "title": ["On L$^1$-Stability of Stationary Navier-Stokes Flows in $\\Bbb R^n$"], "weko_shared_id": null}