tailieunhanh - báo cáo hóa học:" Research Article Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations | Hindawi Publishing Corporation Boundary Value Problems Volume 2010 Article ID 716451 15 pages doi 2010 716451 Research Article Local Smooth Solution and Non-Relativistic Limit of Radiation Hydrodynamics Equations Jianwei Yang 1 Shu Wang 2 and Yong Li2 1 College of Mathematics and Information Science North China University of Water Resources and Electric Power Zhengzhou 450011 China 2 College of Applied Sciences Beijing University of Technology PingLeYuan100 Chaoyang District Beijing 100022 China Correspondence should be addressed to Jianwei Yang yjw@ Received 5 May 2010 Accepted 16 July 2010 Academic Editor Donal O Regan Copyright 2010 Jianwei Yang et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. We investigate a multidimensional nonisentropic radiation hydrodynamics model. We study the local existence and the convergence of the nonisentropic radiation hydrodynamics equations via the non-relativistic limit. The local existence of smooth solutions to both systems is obtained. For well-prepared initial data the convergence of the limit is rigorously justified by an analysis of asymptotic expansion an energy method and an iterative scheme. We also establish uniform a priori estimates with respect to e. 1. Introduction In this paper we study a system of PDEs describing radiation-driven perfect compressible flows in particular in astrophysics cf. 1-4 . Assuming that the radiative temperature and the fluid temperature are equal and that the gas is radiatively opaque so that the equilibrium diffusion will be dealt with and the mean free path of photons is much smaller than the typical length of the flow then we can write the equations of radiation hydrodynamics without radiative heat diffusivity in Rd describing the conservation of mass momentum and energy as see 2 3 5 dtp div pu