{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,20]],"date-time":"2024-09-20T16:20:52Z","timestamp":1726849252003},"reference-count":10,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,7,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider a coupled system of Maxwell\u2019s equations and the equations of elasticity, which is commonly used to model piezo-electric material behavior. The boundary influence is encoded as a separate dynamics on the boundary data spaces coupled to the partial differential equations. Evolutionary well-posedness, i.e. Hadamard well-posedness and causal dependence on the data, is shown for the resulting model system.<\/jats:p>","DOI":"10.1515\/cmam-2017-0005","type":"journal-article","created":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T10:01:30Z","timestamp":1497952890000},"page":"499-513","source":"Crossref","is-referenced-by-count":4,"title":["On Well-Posedness for a Piezo-Electromagnetic Coupling Model with Boundary Dynamics"],"prefix":"10.1515","volume":"17","author":[{"given":"Rainer","family":"Picard","sequence":"first","affiliation":[{"name":"Department of Mathematics , Technische Universit\u00e4t Dresden , 01062 Dresden , Germany"}]}],"member":"374","published-online":{"date-parts":[[2017,6,20]]},"reference":[{"key":"2023033114491601966_j_cmam-2017-0005_ref_001_w2aab3b7d887b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"M. Akamatsu and G. Nakamura,\nWell-posedness of initial-boundary value problems for piezoelectric equations,\nAppl. 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Solids Struct. 10 (1974), 625\u2013637.","DOI":"10.1016\/0020-7683(74)90047-X"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_005_w2aab3b7d887b1b6b1ab2ab5Aa","doi-asserted-by":"crossref","unstructured":"A. J. Mulholland, R. Picard, S. Trostorff and M. Waurick,\nOn well-posedness for some thermo-piezoelectric coupling models,\nMath. Methods Appl. Sci. 39 (2016), no. 15, 4375\u20134384.","DOI":"10.1002\/mma.3866"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_006_w2aab3b7d887b1b6b1ab2ab6Aa","doi-asserted-by":"crossref","unstructured":"R. Picard,\nA structural observation for linear material laws in classical mathematical physics,\nMath. Methods Appl. Sci. 32 (2009), no. 14, 1768\u20131803.","DOI":"10.1002\/mma.1110"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_007_w2aab3b7d887b1b6b1ab2ab7Aa","doi-asserted-by":"crossref","unstructured":"R. Picard and D. F. McGhee,\nPartial Differential Equations: A Unified Hilbert Space Approach,\nDe Gruyter Exp. Math. 55,\nDe Gruyter, Berlin, 2011.","DOI":"10.1515\/9783110250275"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_008_w2aab3b7d887b1b6b1ab2ab8Aa","doi-asserted-by":"crossref","unstructured":"R. Picard, S. Seidler, S. Trostorff and M. Waurick,\nOn abstract grad-div systems,\nJ. Differential Equations 260 (2016), no. 6, 4888\u20134917.","DOI":"10.1016\/j.jde.2015.11.033"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_009_w2aab3b7d887b1b6b1ab2ab9Aa","doi-asserted-by":"crossref","unstructured":"R. Picard, S. Trostorff and M. Waurick,\nOn a comprehensive class of linear control problems,\nIMA J. Math. Control Inform. 33 (2016), no. 2, 257\u2013291.","DOI":"10.1093\/imamci\/dnu035"},{"key":"2023033114491601966_j_cmam-2017-0005_ref_010_w2aab3b7d887b1b6b1ab2ac10Aa","doi-asserted-by":"crossref","unstructured":"A. J. Walker and A. J. Mulholland,\nPiezoelectric ultrasonic transducers with fractal geometry,\nFractals 19 (2011), no. 4, 469\u2013479.","DOI":"10.1142\/S0218348X11005555"}],"container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/17\/3\/article-p499.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2017-0005\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2017-0005\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T21:18:52Z","timestamp":1680297532000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/cmam-2017-0005\/html"}},"subtitle":["An Evo-System Approach"],"short-title":[],"issued":{"date-parts":[[2017,6,20]]},"references-count":10,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2017,6,17]]},"published-print":{"date-parts":[[2017,7,1]]}},"alternative-id":["10.1515\/cmam-2017-0005"],"URL":"https:\/\/doi.org\/10.1515\/cmam-2017-0005","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2017,6,20]]}}}