Energy efficiency has become the main challenge for high performance computing (HPC). The use of mobile asymmetric multi-core architectures to build future multi-core systems is an approach towards energy savings while keeping high performance. However, it is not known yet whether such systems are ready to handle parallel applications. This paper fills this gap by evaluating emerging parallel applications on an asymmetric multi-core. We make use of the PARSEC benchmark suite and a processor that implements the ARM big.LITTLE architecture. We conclude that these applications are not mature enough to run on such systems, as they suffer from load imbalance. Furthermore, we explore the behaviour of dynamic scheduling solutions on either the Operating System (OS) or the runtime level. Comparing these approaches shows us that the most efficient scheduling takes place in the runtime level, influencing the future research towards such solutions.