Compressible Navier–Stokes Equations with Zero Heat Conductivity

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Note on the compressible euler equations with zero temperature

where p(t, z), ~(2, t) are the mean density and velocity of the flow, p(z, t) is the pressure. Assume the gas under consideration is polytropic. Then the temperature, density, and pressure are related with RT = p/p where R is a positive constant proportional to the molecular weight of gas and assumed to be unit for simplicity. So p = Tp. Roughly speaking, the pressure p vanishes as T goes to ze...

متن کامل

Compressible Navier-Stokes equations with hyperbolic heat conduction

In this paper, we investigate the system of compressible Navier-Stokes equations with hyperbolic heat conduction, i.e., replacing the Fourier’s law by Cattaneo’s law. First, by using Kawashima’s condition on general hyperbolic parabolic systems, we show that for small relaxation time τ , global smooth solution exists for small initial data. Moreover, as τ goes to zero, we obtain the uniform con...

متن کامل

Compressible Navier-stokes Equations with Temperature Dependent Heat Conductivities

We prove the existence and uniqueness of global strong solutions to the one dimensional, compressible Navier-Stokes system for the viscous and heat conducting ideal polytropic gas flow, when heat conductivity depends on temperature in power law of Chapman-Enskog. The results reported in this article is valid for initial boundary value problem with non-slip and heat insulated boundary along with...

متن کامل

Group classification of heat conductivity equations with a nonlinear source

We suggest a systematic procedure for classifying partial differential equations invariant with respect to low dimensional Lie algebras. This procedure is a proper synthesis of the infinitesimal Lie’s method, technique of equivalence transformations and theory of classification of abstract low dimensional Lie algebras. As an application, we consider the problem of classifying heat conductivity ...

متن کامل

The Quasineutral Limit of Compressible Navier-stokes-poisson System with Heat Conductivity and General Initial Data

The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general (ill-prepared) initial data is rigorously proved in this paper. It is proved that, as the Debye length tends to zero, the solution of the compressible Navier-Stokes-Poisson system converges strongly to the strong solution of the incompressible Navier-Stokes equations plus a term of fast singul...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 1999

ISSN: 0022-0396

DOI: 10.1006/jdeq.1998.3554