Dark Energy: relating the evolution of the universe from the past to the   future
  Using the evolution history of the universe, one can make constraint on the parameter space of dynamic dark energy models. We discuss two different parameterized dark energy models. Our results further restrict the combined constraints obtained from supernova and WMAP observations. From the allowed parameter space, it is found that our universe will experience an eternal acceleration. We also estimate the bound on the physically relevant regions both in the re-inflationary and inflationary phases. 
Zhuo-Yi Huang, Bin Wang, Rong-Gen Cai and Ru-Keng Su