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• W3114419061 startingPage "100028" @default.
• W3114419061 abstract "We discuss the role of the extra force densityfe=−12(∇·v)vin the adimensionalized system of partial differential equations{∂v∂t+(v·∇)v+∇p−1ReΔv=f+fe,1K∂p∂t+∇·v=0,K>>1,whose weak solution, with appropriate initial and boundary conditions, has been proved in [Arch. Rat. Mech. Analysis, 32:135–153] to preserve the balance of energy while approximating, in the limit K→∞, the weak solution of the incompressible Navier-Stokes system, where the extra force vanishes. Taking the cue from [Ann. Mat. Pura Appl. 172:103–124], we provide a mechanical interpretation of the extra force density fe, arguing that it is a manifestation of inertia." @default.
• W3114419061 created "2021-01-05" @default.
• W3114419061 creator A5017158514 @default.
• W3114419061 date "2021-03-01" @default.
• W3114419061 modified "2023-10-17" @default.
• W3114419061 title "An interpretation of Temam’s extra force in the quasi-incompressible Navier–Stokes system" @default.
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• W3114419061 doi "https://doi.org/10.1016/j.apples.2020.100028" @default.
• W3114419061 hasPublicationYear "2021" @default.
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