The regularized Chapman-Enskog expansion for scalar conservation laws | Zendy

Steven Schochet | Zendy; Eitan Tadmor | Zendy

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The regularized Chapman-Enskog expansion for scalar conservation laws

Author(s) -

Steven Schochet,

Eitan Tadmor

Publication year - 1992

Publication title -

archive for rational mechanics and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.933

H-Index - 106

eISSN - 1432-0673

pISSN - 0003-9527

DOI - 10.1007/bf00375117

Subject(s) - conservation law , mathematics , inviscid flow , mathematical analysis , bounded function , lipschitz continuity , shock wave , monotonic function , entropy (arrow of time) , regularization (linguistics) , classical mechanics , physics , mechanics , artificial intelligence , computer science , quantum mechanics

Rosenau [R] has recently proposed a regularized version of the Chapman-Enskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at low wave numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator.

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