On the compressible Navier-Stokes-Korteweg equations
نویسندگان
چکیده
منابع مشابه
On the barotropic compressible Navier-Stokes equations
We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T and in the whole space Ω = R , when N = 2 and N = 3. The pressure is given by p(ρ) = ρ and our result holds for any γ > 1. Note that our notion of weak solutions is not the usual one. In particular we r...
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2000 Mathematics Subject Classification. Primary: 76N10; Secondary: 35Q30.
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In this article, we consider the compressible Navier-Stokes equation with density dependent viscosity coefficients. We focus on the case where those coefficients vanish on vacuum. We prove the stability of weak solutions for periodic domain Ω = T as well as the whole space Ω = R , when N = 2 and N = 3. The pressure is given by p = ρ , and our result holds for any γ > 1. In particular, we prove ...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series B
سال: 2016
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2016071