Academician JING Fu-Qian pioneered two new fields of shock wave physics research in China at the end of the 1980s, that are shock wave physics applied to the Earth science and to the Space science and technology, called go up to the sky and go into the Earth. Academician JING Fu-Qian led us to carry out the only one Major scientific project of high pressure Geosciences-Study on the physical properties under high temperature and high pressure for materials in the important boundaries of the Earth's interior, he also directed the research of hypervelocity impact and protection against space debris impact in China. The recent research advances of shock wave physics applied to the frontier and hot spots of the Earth sciences in China were introduced in great detail and reviewed, including (1) the phase stability, equation of state, sound velocities, and thermo-elasticity of the Earth's lower mantle dominant minerals (Mg, Fe)SiO₃ perovskite and MgO-FeO system;(2) the possible mineralogical composition of the lower mantle;(3) the high pressure melting curve of Fe and Fe-O-S system;(4) constrained the light element in the Earth's outer core from the equation of state, sound velocities of Fe-O-S system;(5) the possible mineralogical interpretations of the seismic velocity anomaly in the lower mantle and core-mantle boundary;(6) Near Earth Object impact hazard and defense response. The current problems were emphasized and the new research trends were prospected. The authors dedicated this paper to commemorate the 1st anniversary of Academician JING Fu-Qian passed away.