In:
Journal of Mathematical Physics, AIP Publishing, Vol. 60, No. 6 ( 2019-06-01)
Abstract:
This paper is concerned with the incompressible limit of the compressible Navier-Stokes-Smoluchowski equations with periodic boundary conditions in multidimensions. The authors establish the uniform stability of the local solution family which yields a lifespan of the Navier-Stokes-Smoluchowski system. Then, the local existence of strong solutions for the incompressible system with small initial data is rigorously proved via the incompressible limit. Furthermore, the authors obtain the convergence rates in the case without external force.
Type of Medium:
Online Resource
ISSN:
0022-2488
,
1089-7658
Language:
English
Publisher:
AIP Publishing
Publication Date:
2019
detail.hit.zdb_id:
1472481-9
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