{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:49:56Z","timestamp":1760230196489,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,15]],"date-time":"2022-07-15T00:00:00Z","timestamp":1657843200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The goal of this study is to provide analytical and numerical assessments to a fluid flow based on an Eyring\u2013Powell viscosity term and a Darcy\u2013Forchheimer law in a porous media. The analysis provides results about regularity, existence and uniqueness of solutions. Travelling wave solutions are explored, supported by the Geometric Perturbation Theory to build profiles in the proximity of the equation critical points. Finally, a numerical routine is provided as a baseline for the validity of the analytical approach presented for low Reynolds numbers typical in a porous medium.<\/jats:p>","DOI":"10.3390\/sym14071451","type":"journal-article","created":{"date-parts":[[2022,7,18]],"date-time":"2022-07-18T01:53:22Z","timestamp":1658109202000},"page":"1451","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Regularity and Travelling Wave Profiles for a Porous Eyring\u2013Powell Fluid with Darcy\u2013Forchheimer Law"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4677-0970","authenticated-orcid":false,"given":"Jos\u00e9 Luis","family":"D\u00edaz Palencia","sequence":"first","affiliation":[{"name":"Department of Mathematics and Education, Universidad a Distancia de Madrid, 28400 Madrid, Spain"},{"name":"Technology Programs, Schiller International University, Calle Serrano 156, 28002 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saeed ur","family":"Rahman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio Naranjo","family":"Redondo","sequence":"additional","affiliation":[{"name":"Technology Programs, Schiller International University, Calle Serrano 156, 28002 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4017-3067","authenticated-orcid":false,"given":"Juli\u00e1n","family":"Roa Gonz\u00e1lez","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Education, Universidad a Distancia de Madrid, 28400 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,15]]},"reference":[{"key":"ref_1","unstructured":"Darcy, H. 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