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

López Camino, Rafael

doi:10.1016/j.aml.2026.109901

1-s2.0-S0893965926000327-main.pdf (645.6Kb)

Identificadores

URI: https://hdl.handle.net/10481/112433

DOI: 10.1016/j.aml.2026.109901

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Editorial

Elsevier

Materia

Newton problem

Minimum resistance

Banach fixed point theorem

Fecha

2026-06

Referencia bibliográfica

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

Patrocinador

MINECO/MICINN/FEDER - (PID2023-150727NB-I00); MCINN/AEI/10.13039/ 501100011033 - (CEX2020-001105-M)

Resumen

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

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