The Newton’s problem assuming non-constant density of the fluid

dc.contributor.author	López Camino, Rafael
dc.date.accessioned	2026-03-24T12:27:09Z
dc.date.available	2026-03-24T12:27:09Z
dc.date.issued	2026-06
dc.identifier.citation	López, R. (2026). The Newton’s problem assuming non-constant density of the fluid. Applied Mathematics Letters, 177(109901), 109901. https://doi.org/10.1016/j.aml.2026.109901	es_ES
dc.identifier.uri	https://hdl.handle.net/10481/112433
dc.description.abstract	This paper investigates the Newton’s problem of minimal resistance for a body moving through a fluid whose density decreases exponentially with altitude. We prove the local existence and regularity of radial solutions u (r) satisfying the initial conditions u(0)=u(0)=0 using a fixed point theorem. We show that the maximal domain of the solution is finite, (0,rM), terminating at a critical slope u(rM)= 1V	es_ES
dc.description.sponsorship	MINECO/MICINN/FEDER - (PID2023-150727NB-I00)	es_ES
dc.description.sponsorship	MCINN/AEI/10.13039/ 501100011033 - (CEX2020-001105-M)	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Newton problem	es_ES
dc.subject	Minimum resistance	es_ES
dc.subject	Banach fixed point theorem	es_ES
dc.title	The Newton’s problem assuming non-constant density of the fluid	es_ES
dc.type	journal article	es_ES
dc.rights.accessRights	open access	es_ES
dc.identifier.doi	10.1016/j.aml.2026.109901
dc.type.hasVersion	VoR	es_ES

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