In this thesis, I first introduce briefly the important progress and the basic knowledge of Gamma-Ray Bursts(GRBs), then some works of radio afterglowa by applying hydrodynamic model which are finished in my master period are presented in detail, and finally some problems and research prospects in this field are given.In chapter 1, we introduce briefly the primary observational equipments and some observational overview of GRBs and their afterglows.We summarize the progress of the basic theoretical research, including the standard fireball model, the characteristics of the GRBs progenitors and host galaxies, in chapter 2.In chapter 3 the afterglow hydrodynamic model proposed by Huang et al. is presented in detail. Meanwhile, some tests and applications of this model which are mainly used to be explained in X-ray and optical afterglows are also shown.The chapter 4 present some study finished in my master period, including the analysis of GRB radio afterglows by applying the hydrodynamic model, and the detectability prediction of GRB afterglows with Five-hundred-meter Aperture Spherical radio Telescope(FAST) at high redshift.Finally, according to our study result and the current observation, we propose some thoughts and discussions of radio afterglows, and expect the study outlook of this field in future large radio telescope Era. |