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- W1623641134 abstract "In the context of some bidimensionnal Navier-Stokes model, we exhibit a family of exact oscillating solutions ${u_{epsilon}}_{epsilon}$ defined on some strip $[0,T]timesR^2$ which does not depend on $epsilonin]0,1]$. The exact solutions is described thanks to a complete expansions which reveal a boundary layer in time $t=0$. The interactions of the various scales (1, $1/epsilon$ and $1/epsilon^2$) produce a macroscopic effect given by the addition of a diffusion. To justify the existence of ${u_epsilon}_{epsilon}$, we need to perform various Sobolev estimates that rely on a refined balance between the informations coming from the hyperbolic and parabolic parts of the equations." @default.
- W1623641134 created "2016-06-24" @default.
- W1623641134 creator A5049878520 @default.
- W1623641134 date "2011-07-01" @default.
- W1623641134 modified "2023-10-03" @default.
- W1623641134 title "On the Production of Dissipation by Interaction of Forced Oscillating Waves in Fluid Dynamics" @default.
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- W1623641134 hasPublicationYear "2011" @default.
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