{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T16:13:27Z","timestamp":1764432807766},"reference-count":16,"publisher":"Canadian Mathematical Society","issue":"5","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"unspecified","delay-in-days":2241,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. j. math."],"published-print":{"date-parts":[[2012,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A body moves in a rare fied medium composed of point particles at rest. The particles make elastic reflections when colliding with the body surface and do not interact with each other. We consider a generalization of Newton\u2019s minimal resistance problem: given two bounded convex bodies<jats:italic>C<\/jats:italic><jats:sub>1<\/jats:sub>and<jats:italic>C<\/jats:italic><jats:sub>2<\/jats:sub>\u211d<jats:sup>3<\/jats:sup>such that C<jats:sub>1<\/jats:sub>\u2282 c<jats:sub>2<\/jats:sub>\u2282 and<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0008414X00009366_inline02\" \/>, minimize the resistance in the class of connected bodies<jats:italic>B<\/jats:italic>such that<jats:italic>C<\/jats:italic><jats:sub>1<\/jats:sub>\u2282 B \u2282<jats:italic>C<\/jats:italic><jats:sub>1<\/jats:sub>. We prove that the infimum of resistance is zero; that is, there exist \u201dalmost perfectly streamlined\u201d bodies.<\/jats:p>","DOI":"10.4153\/cjm-2011-070-9","type":"journal-article","created":{"date-parts":[[2011,8,30]],"date-time":"2011-08-30T21:03:29Z","timestamp":1314738209000},"page":"1058-1074","source":"Crossref","is-referenced-by-count":16,"title":["Optimal Roughening of Convex Bodies"],"prefix":"10.4153","volume":"64","author":[{"given":"Alexander","family":"Plakhov","sequence":"first","affiliation":[]}],"member":"2643","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"S0008414X00009366_ref006","first-page":"343","article-title":"J. 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