L 1  asymptotic behavior of compressible, isentropic, viscous 1‐D flow | Zendy

Zeng Yanni | Zendy

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L 1 asymptotic behavior of compressible, isentropic, viscous 1‐D flow

Author(s) -

Zeng Yanni

Publication year - 1994

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.3160470804

Subject(s) - pointwise , isentropic process , mathematics , compressibility , compressible flow , space (punctuation) , flow (mathematics) , mathematical analysis , mathematical physics , diffusion , mechanics , physics , thermodynamics , geometry , linguistics , philosophy

We study the large time behavior in L 1 of the compressible, isentropic, viscous 1‐D flow. Under the assumption that the initial data are smooth and small, we show that the solutions are approximated by the solutions of a parabolic system, and in turn by diffusion waves, which are solutions of Burgers equations. Decay rates in L 1 are obtained. Our method is based on the study of pointwise properties in the physical space of the fundamental solution to the linearized system. © 1994 John Wiley & Sons, Inc.

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