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- W2023603642 abstract "We improve in three ways the results of [6 Golse , F. , Levermore , C.D. ( 2002 ). The Stokes-Fourier and acoustic limits for the Boltzmann equation . Commun. Pure & Appl. Math. 55 : 336 – 393 .[Crossref] , [Google Scholar]] that establish the acoustic limit for DiPerna–Lions solutions of Boltzmann equation. First, we enlarge the class of collision kernels treated to that found in [13 Levermore , C.D. , Masmoudi , N. ( 2010 ). From the Boltzmann equation to an incompressible Navier-Stokes-Fourier System . Arch. Ration. Mech. & Anal. 196 : 753 – 809 .[Crossref] , [Google Scholar]], thereby treating all classical collision kernels to which the DiPerna–Lions theory applies. Second, we improve the scaling of the kinetic density fluctuations with Knudsen number from O(ε m ) for some to . Third, we extend the results from periodic domains to bounded domains with a Maxwell reflection boundary condition, deriving the impermeable boundary condition for the acoustic system." @default.
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- W2023603642 date "2010-08-10" @default.
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- W2023603642 title "Remarks on the Acoustic Limit for the Boltzmann Equation" @default.
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