Optimal L1 Decay Rate to Diffusion Waves for the Hamer Model of Radiating Gases

نویسنده

  • CORRADO LATTANZIO
چکیده

We are concerned with the asymptotic behavior of the solutions of a simplified model describing the evolution of a radiating gas. More precisely, we shall prove the convergence of H solutions toward the classical diffusion wave of the viscous Burgers’ equation by means of entropy methods. The result is also endowed with the same L rate of convergence of that case.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Problem of Rayleigh Wave Propagation in Thermoelastic Diffusion

In this work, the problem of Rayleigh wave propagation is considered in the context of the theory of thermoelastic diffusion. The formulation is applied to a homogeneous isotropic thermoelastic half space with mass diffusion at the stress free, isothermal, isoconcentrated boundary. Using the potential functions and harmonic wave solution, three coupled dilatational waves and a shear wave is obt...

متن کامل

Energy Method for Multi-dimensional Balance Laws with Non-local Dissipation

In this paper, we are concerned with a class of multi-dimensional balance laws with a non-local dissipative source which arise as simplified models for the hydrodynamics of radiating gases. At first we introduce the energy method in the setting of smooth perturbations and study the stability of constants states. Precisely, we employ Fourier space analysis to quantify the energy dissipation rate...

متن کامل

تعیین مالیات زیست‌محیطی بهینه در الگوی رشد تعمیم‌یافته با وجود انتقال تکنولوژی پاک و کیفیت محیط‌زیست: نمونۀ اقتصاد ایران

    This study aims at determining the optimal environmental tax policy in the context of a dynamic model. For this purpose, clean technology diffusion was added to the AK growth model and the theoretical model has been generalized to the open economy. The main feature of the economy is creating pollution in the process of economic growth and its negative impact on social welfare. The diffusion...

متن کامل

L∞-stability of Continuous Shock Waves in a Radiating Gas Model∗

L∞-STABILITY OF CONTINUOUS SHOCK WAVES IN A RADIATING GAS MODEL∗ MASASHI OHNAWA† Abstract. In the present article, we study the asymptotic stability in L∞-topology of shock waves in a model system of radiating gases. It is known that the system admits discontinuous shock waves if the shock strength is strictly above a threshold value of √ 2, while if it is below (subcritical case) or equal to (...

متن کامل

Shock Profiles for Non Equilibrium Radiating Gases

We study a model of radiating gases that describes the interaction of an inviscid gas with photons. We show the existence of smooth traveling waves called ’shock profiles’, when the strength of the shock is small. Moreover, we prove that the regularity of the traveling wave increases when the strength of the shock tends to zero.

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004