Asymptotic Profile for Diffusion Wave Terms of the Compressible Navier–Stokes–Korteweg System

نویسندگان

چکیده

The asymptotic profile for diffusion wave terms of solutions to the compressible Navier–Stokes–Korteweg system is studied on R2. with time-decay estimate was by Hoff and Zumbrun (1995, 1997), Kobayashi Shibata (2002), Tsuda (2018) Navier–Stokes systems. Our main assertion in this paper that, some initial conditions given Hardy space, behaviors space–time L2 parts are essentially different between density potential flow part momentum. Even though measuring decay slower than that Stokes proof based a modified version Morawetz’s energy estimate, Fefferman–Stein inequality duality space functions bounded mean oscillation.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9060683