supported by National Natural Science Foundation of China(Grant No.11361073)
In this paper,firstly,by solving the Riemann problem of the zero-pressure flow in gas dynamics with a flux approximation,we construct parameterized delta-shock and constant density solutions,then we show that,as the f...
supported by National Basic Research Program of China(973 Program)(Grant No.2011CB808002);the National Center for Mathematics and Interdisciplinary Sciences,Academy of Mathematics and Systems Science,Chinese Academy of Sciences and the Chinese Academy of Sciences Program for Cross&Cooperative Team of the Science&Technology Innovation,National Natural Sciences Foundation of China(Grant Nos.11171326,11371064 and 11401565);the General Research Fund of Hong Kong(Grant No.City U 103412)
We study the vanishing viscosity of the Navier-Stokes equations for interacting shocks. Given an entropy solution to p-system which consists of two different families of shocks interacting at some positive time,we sho...
partially supported by National Basic Research Program of China (Grant No.2011CB302400);National Natural Science Foundation of China (Grant No. 10771206)
For the number of complete shock curves of a conservation law with one space variable,Hopf in 1950 for the Burger equation,and Oleinik in 1956 for the general,stated that it is at most countable.In 1979,the present au...
Project supported by the National Natural Science Foundation of China ;partially the SIGMA Weather Project
A 2-D MHD model is used to investigate the propagation of slow mode shocks in the open and closed magnetic fields of the meridional plane near the sun. The solutions demonstrate that a forward slow shock could retain ...
Project supported by the Institute of Mathematics, Chinese Academy of Sciences and by the National Fundamental Research Program of State Commission of Science and Technology of China, and Chinese Academy of Sciences.
The transportation equations are a mathematical model of zero-pressure flow in gas dynamics and the adhesion particle dynamics system to explain the formation of large scale structures in the universe.With the help of...
Project partly supported by the National Natural Science Foundation of China
The observed speeds of the coronal mass ejections are often below the estimated Alfven speed but above the sound speed for the background solar corona. This phenomenon suggests that coronal mass ejections may form slo...
Based on the author’s previous work, a general form of generalized variational princi-ples (VPs) together with its derived VP family is established for 3-D unsteady’ transonicpotential flow with shocks past arbitrar...