{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T17:36:00Z","timestamp":1649007360561},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2013,1,30]],"date-time":"2013-01-30T00:00:00Z","timestamp":1359504000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"published-print":{"date-parts":[[2013,2]]},"abstract":"<jats:p>A Stokesian fluid in motion along a porous medium saturated by the same fluid is modelled by the Beavers\u2014Joseph\u2014Saffman boundary-value problem to generalized Forchheimer\u2014Stokes\u2014Fourier systems: what we call the Beavers\u2014Joseph\u2014Saffman (BJS) problem. The model has nonlinear character given by the temperature dependence of physical parameters such as the viscosity, the permeability, the thermal conductivity and the thermal expansion. The paper is concerned with the study of the steady-state and the time-dependent regimes via the Galerkin and the Faedo\u2014Galerkin techniques, respectively.<\/jats:p>","DOI":"10.1017\/s0308210511001661","type":"journal-article","created":{"date-parts":[[2013,1,30]],"date-time":"2013-01-30T09:21:18Z","timestamp":1359537678000},"page":"101-120","source":"Crossref","is-referenced-by-count":0,"title":["On the generalized Forchheimer\u2014Stokes\u2014Fourier systems under the Beavers\u2014Joseph\u2014Saffman boundary condition"],"prefix":"10.1017","volume":"143","author":[{"given":"Luisa","family":"Consiglieri","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2013,1,30]]},"container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0308210511001661","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,24]],"date-time":"2019-04-24T19:36:45Z","timestamp":1556134605000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0308210511001661\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,30]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,2]]}},"alternative-id":["S0308210511001661"],"URL":"https:\/\/doi.org\/10.1017\/s0308210511001661","relation":{},"ISSN":["0308-2105","1473-7124"],"issn-type":[{"value":"0308-2105","type":"print"},{"value":"1473-7124","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,1,30]]}}}