{"has_accepted_license":"1","status":"public","scopus_import":"1","date_published":"2021-10-13T00:00:00Z","day":"13","department":[{"_id":"JuFi"}],"quality_controlled":"1","_id":"10575","file_date_updated":"2022-05-16T10:55:45Z","volume":31,"author":[{"first_name":"Anna","full_name":"Abbatiello, Anna","last_name":"Abbatiello"},{"first_name":"Miroslav","full_name":"Bulíček, Miroslav","last_name":"Bulíček"},{"full_name":"Maringová, Erika","last_name":"Maringová","first_name":"Erika","id":"dbabca31-66eb-11eb-963a-fb9c22c880b4"}],"oa_version":"Published Version","doi":"10.1142/S0218202521500470","publication_status":"published","external_id":{"arxiv":["2009.09057"],"isi":["000722309400001"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"2165-2212","publisher":"World Scientific Publishing","issue":"11","title":"On the dynamic slip boundary condition for Navier-Stokes-like problems","isi":1,"oa":1,"publication":"Mathematical Models and Methods in Applied Sciences","year":"2021","project":[{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"},{"_id":"260788DE-B435-11E9-9278-68D0E5697425","name":"Dissipation and Dispersion in Nonlinear Partial Differential Equations","call_identifier":"FWF"}],"date_updated":"2023-08-17T06:29:01Z","publication_identifier":{"eissn":["1793-6314"],"issn":["0218-2025"]},"tmp":{"short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"article_type":"original","abstract":[{"lang":"eng","text":"The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface. Still the assumption of the no-slip condition is preferred in order to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the “static slip models”, there are phenomena that are not accurately described by them, e.g. at the moment when the slip changes rapidly, the wall shear stress and the slip can exhibit a sudden overshoot and subsequent relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier–Stokes-like problems with a dynamic slip boundary condition, which requires a proper generalization of the Gelfand triplet and the corresponding function space setting."}],"date_created":"2021-12-26T23:01:27Z","citation":{"apa":"Abbatiello, A., Bulíček, M., &#38; Maringová, E. (2021). On the dynamic slip boundary condition for Navier-Stokes-like problems. <i>Mathematical Models and Methods in Applied Sciences</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0218202521500470\">https://doi.org/10.1142/S0218202521500470</a>","chicago":"Abbatiello, Anna, Miroslav Bulíček, and Erika Maringová. “On the Dynamic Slip Boundary Condition for Navier-Stokes-like Problems.” <i>Mathematical Models and Methods in Applied Sciences</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/S0218202521500470\">https://doi.org/10.1142/S0218202521500470</a>.","ieee":"A. Abbatiello, M. Bulíček, and E. Maringová, “On the dynamic slip boundary condition for Navier-Stokes-like problems,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 31, no. 11. World Scientific Publishing, pp. 2165–2212, 2021.","mla":"Abbatiello, Anna, et al. “On the Dynamic Slip Boundary Condition for Navier-Stokes-like Problems.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 31, no. 11, World Scientific Publishing, 2021, pp. 2165–212, doi:<a href=\"https://doi.org/10.1142/S0218202521500470\">10.1142/S0218202521500470</a>.","ista":"Abbatiello A, Bulíček M, Maringová E. 2021. On the dynamic slip boundary condition for Navier-Stokes-like problems. Mathematical Models and Methods in Applied Sciences. 31(11), 2165–2212.","ama":"Abbatiello A, Bulíček M, Maringová E. On the dynamic slip boundary condition for Navier-Stokes-like problems. <i>Mathematical Models and Methods in Applied Sciences</i>. 2021;31(11):2165-2212. doi:<a href=\"https://doi.org/10.1142/S0218202521500470\">10.1142/S0218202521500470</a>","short":"A. Abbatiello, M. Bulíček, E. Maringová, Mathematical Models and Methods in Applied Sciences 31 (2021) 2165–2212."},"file":[{"relation":"main_file","access_level":"open_access","date_updated":"2022-05-16T10:55:45Z","file_size":795483,"file_name":"2021_MathModelsMethods_Abbatiello.pdf","checksum":"8c0a9396335f0b70e1f5cbfe450a987a","date_created":"2022-05-16T10:55:45Z","file_id":"11385","success":1,"content_type":"application/pdf","creator":"dernst"}],"type":"journal_article","article_processing_charge":"No","intvolume":"        31","month":"10","language":[{"iso":"eng"}],"ddc":["510"],"acknowledgement":"The research of A. Abbatiello is supported by Einstein Foundation, Berlin. A. Abbatiello is also member of the Italian National Group for the Mathematical Physics (GNFM) of INdAM. M. Bulíček acknowledges the support of the project No. 20-11027X financed by Czech Science Foundation (GACR). M. Bulíček is member of the Jindřich Nečas Center for Mathematical Modelling. E. Maringová acknowledges support from Charles University Research program UNCE/SCI/023, the grant SVV-2020-260583 by the Ministry of Education, Youth and Sports, Czech Republic and from the Austrian Science Fund (FWF), grants P30000, W1245, and F65."}