On the analytical aspects of inertial particle motion

DOI10.1016/J.JMAA.2022.126467OpenAlexW3213788686MaRDI QIDQ2166403

Oliver D. Street, Dan Crisan

Publication date: 24 August 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.08470

zbMATH Keywords

fractional calculusfractional differential equationsinertial particlesMaxey-Riley equationBasset history

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76Txx) General theory for ordinary differential equations (34Axx) Geophysics (86Axx)

Cites Work

• The Maxey-Riley equation: existence, uniqueness and regularity of solutions
• Where do inertial particles go in fluid flows?
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Generalized Gronwall inequalities and their applications to fractional differential equations
• On the role of the history force for inertial particles in turbulence
• Equation of motion for a small rigid sphere in a nonuniform flow
• A minimal Maxey–Riley model for the drift of Sargassum rafts
• Accurate solution method for the Maxey–Riley equation, and the effects of Basset history

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