Compressible Navier–Stokes Equations with hyperbolic heat conduction
نویسندگان
چکیده
منابع مشابه
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 کاملOperational Approach and Solutions of Hyperbolic Heat Conduction Equations
We studied physical problems related to heat transport and the corresponding differential equations, which describe a wider range of physical processes. The operational method was employed to construct particular solutions for them. Inverse differential operators and operational exponent as well as operational definitions and operational rules for generalized orthogonal polynomials were used to...
متن کاملHyperbolic Heat Conduction in Composite Materials
A hyperbolic heat conduction (HHC) equation has been proposed to replace Fourier heat conduction equation in cases heat transfer takes place in a very short period of time or at extremely low temperature. There is a growing interest in the investigation of HHC problem in recent years, but to the author’s knowledge, HHC in composite media in multidimension has not been studied up to date. This p...
متن کاملSplitting schemes for hyperbolic heat conduction equation
Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of heat fluxes. In this case, the mathematical model is based on a hyperbolic equation of second order or a system of equations for the temperature and heat flu...
متن کاملCompressible 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 کاملذخیره 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 Hyperbolic Differential Equations
سال: 2016
ISSN: 0219-8916,1793-6993
DOI: 10.1142/s0219891616500077